{"id":4550,"date":"2026-08-28T13:28:00","date_gmt":"2026-08-28T13:28:00","guid":{"rendered":"https:\/\/cosmalore.com\/ar\/?p=4550"},"modified":"2026-08-29T06:39:21","modified_gmt":"2026-08-29T06:39:21","slug":"chaos-theory","status":"publish","type":"post","link":"https:\/\/cosmalore.com\/ar\/2026\/08\/28\/chaos-theory\/","title":{"rendered":"\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0641\u0648\u0636\u0649"},"content":{"rendered":"<article>\n<p>\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0641\u0648\u0636\u0649 \u0647\u064a \u0641\u0631\u0639 \u0645\u0646 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0648\u0627\u0644\u0639\u0644\u0648\u0645 \u064a\u062f\u0631\u0633 \u0633\u0644\u0648\u0643 \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a\u0629 \u0627\u0644\u062d\u062a\u0645\u064a\u0629 \u0627\u0644\u062a\u064a \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0643\u0648\u0646 \u0634\u062f\u064a\u062f\u0629 \u0627\u0644\u062d\u0633\u0627\u0633\u064a\u0629 \u0644\u0644\u0634\u0631\u0648\u0637 \u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629\u060c \u0628\u062d\u064a\u062b \u062a\u0624\u062f\u064a \u0641\u0631\u0648\u0642 \u0635\u063a\u064a\u0631\u0629 \u062c\u062f\u064b\u0627 \u0641\u064a \u0627\u0644\u062d\u0627\u0644\u0629 \u0627\u0644\u0623\u0648\u0644\u064a\u0629 \u0625\u0644\u0649 \u0641\u0631\u0648\u0642 \u0643\u0628\u064a\u0631\u0629 \u0641\u064a \u0627\u0644\u062d\u0627\u0644\u0629 \u0627\u0644\u0645\u0633\u062a\u0642\u0628\u0644\u064a\u0629. \u0648\u0644\u0627 \u062a\u0639\u0646\u064a \u00ab\u0627\u0644\u0641\u0648\u0636\u0649\u00bb \u0647\u0646\u0627 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a\u0629 \u0623\u0648 \u063a\u064a\u0627\u0628 \u0627\u0644\u0642\u0648\u0627\u0646\u064a\u0646\u061b \u0641\u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0641\u0648\u0636\u0648\u064a\u0629 \u062a\u062e\u0636\u0639 \u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0648\u0642\u0648\u0627\u0639\u062f \u062d\u062a\u0645\u064a\u0629 \u0645\u062d\u062f\u062f\u0629\u060c \u0644\u0643\u0646 \u0645\u0633\u0627\u0631\u0627\u062a\u0647\u0627 \u0642\u062f \u062a\u0635\u0628\u062d \u063a\u064a\u0631 \u0642\u0627\u0628\u0644\u0629 \u0644\u0644\u062a\u0646\u0628\u0624 \u0639\u0645\u0644\u064a\u064b\u0627 \u0639\u0644\u0649 \u0627\u0644\u0645\u062f\u0649 \u0627\u0644\u0637\u0648\u064a\u0644 \u0628\u0633\u0628\u0628 \u062a\u0636\u062e\u064a\u0645 \u0627\u0644\u0623\u062e\u0637\u0627\u0621 \u0627\u0644\u0623\u0648\u0644\u064a\u0629. \u0648\u0642\u062f \u0623\u0635\u0628\u062d \u0647\u0630\u0627 \u0627\u0644\u0645\u0641\u0647\u0648\u0645 \u0645\u0646 \u0627\u0644\u0631\u0643\u0627\u0626\u0632 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0641\u064a \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u063a\u064a\u0631 \u0627\u0644\u062e\u0637\u064a\u0629\u060c \u0648\u0627\u0631\u062a\u0628\u0637 \u062a\u0627\u0631\u064a\u062e\u064a\u064b\u0627 \u0628\u0623\u0639\u0645\u0627\u0644 \u0647\u0646\u0631\u064a \u0628\u0648\u0627\u0646\u0643\u0627\u0631\u064a\u0647 \u062b\u0645 \u062a\u0637\u0648\u0631 \u0628\u0635\u0648\u0631\u0629 \u062d\u0627\u0633\u0645\u0629 \u0645\u0639 \u0625\u062f\u0648\u0627\u0631\u062f \u0644\u0648\u0631\u0646\u0632 \u0641\u064a \u0627\u0644\u0642\u0631\u0646 \u0627\u0644\u0639\u0634\u0631\u064a\u0646. <sup class=\"ref\"><a href=\"https:\/\/journals.ametsoc.org\/view\/journals\/atsc\/20\/2\/1520-0469_1963_020_0130_dnf_2_0_co_2.xml\" title=\"1|Deterministic Nonperiodic Flow|Edward N. Lorenz|1963\" target=\"_blank\" rel=\"noopener\">[1]<\/a><\/sup><\/p>\n<div class=\"infobox\">\n<table>\n<tbody>\n<tr class=\"ib-sec\">\n<td colspan=\"2\">\u0627\u0644\u0645\u0639\u0644\u0648\u0645\u0627\u062a \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629<\/td>\n<\/tr>\n<tr class=\"ib-row\">\n<td class=\"ib-label\">\u0627\u0644\u0627\u0633\u0645<\/td>\n<td class=\"ib-val\">\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0641\u0648\u0636\u0649<\/td>\n<\/tr>\n<tr class=\"ib-row\">\n<td class=\"ib-label\">\u0627\u0644\u0627\u0633\u0645 \u0628\u0627\u0644\u0625\u0646\u062c\u0644\u064a\u0632\u064a\u0629<\/td>\n<td class=\"ib-val\">Chaos Theory<\/td>\n<\/tr>\n<tr class=\"ib-row\">\n<td class=\"ib-label\">\u0627\u0644\u0645\u062c\u0627\u0644<\/td>\n<td class=\"ib-val\">\u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a\u0629 \u0648\u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u063a\u064a\u0631 \u0627\u0644\u062e\u0637\u064a\u0629<\/td>\n<\/tr>\n<tr class=\"ib-row\">\n<td class=\"ib-label\">\u0627\u0644\u0645\u0648\u0636\u0648\u0639 \u0627\u0644\u0645\u0631\u0643\u0632\u064a<\/td>\n<td class=\"ib-val\">\u0627\u0644\u0633\u0644\u0648\u0643 \u0627\u0644\u0645\u0639\u0642\u062f \u0641\u064a \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u062d\u062a\u0645\u064a\u0629 \u063a\u064a\u0631 \u0627\u0644\u062e\u0637\u064a\u0629<\/td>\n<\/tr>\n<tr class=\"ib-row\">\n<td class=\"ib-label\">\u0627\u0644\u062e\u0627\u0635\u064a\u0629 \u0627\u0644\u0623\u0634\u0647\u0631<\/td>\n<td class=\"ib-val\">\u0627\u0644\u062d\u0633\u0627\u0633\u064a\u0629 \u0644\u0644\u0634\u0631\u0648\u0637 \u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629<\/td>\n<\/tr>\n<tr class=\"ib-row\">\n<td class=\"ib-label\">\u0627\u0644\u0645\u0641\u0627\u0647\u064a\u0645 \u0627\u0644\u0645\u0631\u062a\u0628\u0637\u0629<\/td>\n<td class=\"ib-val\">\u0627\u0644\u062c\u0627\u0630\u0628\u0627\u062a\u060c \u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0637\u0648\u0631\u064a\u060c \u0627\u0644\u0623\u0633\u0633 \u0627\u0644\u0644\u064a\u0627\u0628\u0648\u0646\u0648\u0641\u064a\u0629\u060c \u0627\u0644\u0628\u064f\u0646\u0649 \u0627\u0644\u0643\u0633\u064a\u0631\u064a\u0629<\/td>\n<\/tr>\n<tr class=\"ib-row\">\n<td class=\"ib-label\">\u0627\u0644\u0634\u062e\u0635\u064a\u0629 \u0627\u0644\u062a\u0627\u0631\u064a\u062e\u064a\u0629 \u0627\u0644\u0628\u0627\u0631\u0632\u0629<\/td>\n<td class=\"ib-val\">\u0647\u0646\u0631\u064a \u0628\u0648\u0627\u0646\u0643\u0627\u0631\u064a\u0647<\/td>\n<\/tr>\n<tr class=\"ib-row\">\n<td class=\"ib-label\">\u0627\u0644\u062a\u062d\u0648\u0644 \u0627\u0644\u062d\u062f\u064a\u062b<\/td>\n<td class=\"ib-val\">\u0625\u062f\u0648\u0627\u0631\u062f \u0644\u0648\u0631\u0646\u0632 \u0648\u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0627\u0644\u062c\u0648\u064a\u0629<\/td>\n<\/tr>\n<tr class=\"ib-row\">\n<td class=\"ib-label\">\u0627\u0644\u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0634\u0647\u064a\u0631<\/td>\n<td class=\"ib-val\">\u0646\u0638\u0627\u0645 \u0644\u0648\u0631\u0646\u0632<\/td>\n<\/tr>\n<tr class=\"ib-row\">\n<td class=\"ib-label\">\u0627\u0644\u0635\u0641\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629<\/td>\n<td class=\"ib-val\">\u062d\u062a\u0645\u064a\u060c \u063a\u064a\u0631 \u062e\u0637\u064a\u060c \u0648\u0642\u062f \u064a\u0643\u0648\u0646 \u063a\u064a\u0631 \u062f\u0648\u0631\u064a \u0648\u0642\u0627\u0628\u0644\u064b\u0627 \u0644\u0644\u062a\u0646\u0628\u0624 \u0642\u0635\u064a\u0631 \u0627\u0644\u0623\u0645\u062f \u0641\u0642\u0637<\/td>\n<\/tr>\n<tr class=\"ib-sec\">\n<td colspan=\"2\">\u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a<\/td>\n<\/tr>\n<tr class=\"ib-row\">\n<td class=\"ib-label\">\u0627\u0644\u0639\u0644\u0648\u0645 \u0627\u0644\u0637\u0628\u064a\u0639\u064a\u0629<\/td>\n<td class=\"ib-val\">\u0627\u0644\u063a\u0644\u0627\u0641 \u0627\u0644\u062c\u0648\u064a\u060c \u0627\u0644\u0645\u0648\u0627\u0626\u0639\u060c \u0627\u0644\u0628\u0644\u0627\u0632\u0645\u0627\u060c \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0621<\/td>\n<\/tr>\n<tr class=\"ib-row\">\n<td class=\"ib-label\">\u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a<\/td>\n<td class=\"ib-val\">\u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a\u0629\u060c \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062a\u0641\u0627\u0636\u0644\u064a\u0629\u060c \u0627\u0644\u0637\u0648\u0628\u0648\u0644\u0648\u062c\u064a\u0627<\/td>\n<\/tr>\n<tr class=\"ib-row\">\n<td class=\"ib-label\">\u0627\u0644\u0647\u0646\u062f\u0633\u0629<\/td>\n<td class=\"ib-val\">\u0627\u0644\u062a\u062d\u0643\u0645\u060c \u0627\u0644\u0627\u0647\u062a\u0632\u0627\u0632\u0627\u062a\u060c \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u063a\u064a\u0631 \u0627\u0644\u062e\u0637\u064a\u0629<\/td>\n<\/tr>\n<tr class=\"ib-row\">\n<td class=\"ib-label\">\u0627\u0644\u0645\u0639\u0644\u0648\u0645\u0627\u062a<\/td>\n<td class=\"ib-val\">\u0627\u0644\u062a\u0634\u0641\u064a\u0631 \u0648\u0646\u0645\u0630\u062c\u0629 \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0645\u0639\u0642\u062f\u0629<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div class=\"ib-foot\">COSMALORE \u00b7 \u0627\u0644\u0645\u0648\u0633\u0648\u0639\u0629 \u0627\u0644\u0639\u0631\u0628\u064a\u0629<\/div>\n<\/div>\n<h2>\u0627\u0644\u0645\u0639\u0646\u0649 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0644\u0644\u0641\u0648\u0636\u0649<\/h2>\n<p>\u0641\u064a \u0623\u0628\u0633\u0637 \u0635\u0648\u0631\u0629\u060c \u064a\u0645\u0643\u0646 \u062a\u0635\u0648\u0631 \u0627\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a \u0639\u0644\u0649 \u0623\u0646\u0647 \u0642\u0627\u0639\u062f\u0629 \u062a\u062d\u062f\u062f \u0643\u064a\u0641 \u062a\u062a\u063a\u064a\u0631 \u062d\u0627\u0644\u0629 \u0627\u0644\u0646\u0638\u0627\u0645 \u0645\u0639 \u0627\u0644\u0632\u0645\u0646. \u0641\u0625\u0630\u0627 \u0643\u0627\u0646\u062a \u062d\u0627\u0644\u0629 \u0627\u0644\u0646\u0638\u0627\u0645 \u0639\u0646\u062f \u0627\u0644\u0632\u0645\u0646 <em>t<\/em> \u0647\u064a <em>x(t)<\/em>\u060c \u0641\u0625\u0646 \u0642\u0627\u0646\u0648\u0646 \u0627\u0644\u062a\u0637\u0648\u0631 \u064a\u062d\u062f\u062f \u0627\u0644\u062d\u0627\u0644\u0629 \u0627\u0644\u0645\u0633\u062a\u0642\u0628\u0644\u064a\u0629. \u0648\u0642\u062f \u064a\u0643\u0648\u0646 \u0647\u0630\u0627 \u0627\u0644\u0642\u0627\u0646\u0648\u0646 \u0645\u0639\u0627\u062f\u0644\u0629 \u062a\u0641\u0627\u0636\u0644\u064a\u0629 \u0645\u062b\u0644 <em>dx\/dt = f(x)<\/em>\u060c \u0623\u0648 \u062e\u0631\u064a\u0637\u0629 \u0645\u062a\u0642\u0637\u0639\u0629 \u0645\u062b\u0644 <em>x<sub>n+1<\/sub> = F(x<sub>n<\/sub>)<\/em>.<\/p>\n<p>\u0641\u064a \u0627\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u062e\u0637\u064a \u064a\u0645\u0643\u0646 \u063a\u0627\u0644\u0628\u064b\u0627 \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u062a\u0637\u0648\u0631 \u0628\u0633\u0647\u0648\u0644\u0629 \u0646\u0633\u0628\u064a\u0629\u060c \u0644\u0623\u0646 \u062a\u0623\u062b\u064a\u0631 \u0627\u0644\u062a\u063a\u064a\u0631\u0627\u062a \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629 \u064a\u0628\u0642\u0649 \u0645\u062a\u0646\u0627\u0633\u0628\u064b\u0627 \u0645\u0639 \u0628\u0639\u0636\u0647\u0627. \u0623\u0645\u0627 \u0627\u0644\u0646\u0638\u0627\u0645 \u063a\u064a\u0631 \u0627\u0644\u062e\u0637\u064a \u0641\u0642\u062f \u062a\u062a\u0641\u0627\u0639\u0644 \u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0628\u0637\u0631\u0642 \u062a\u062c\u0639\u0644 \u0627\u0644\u0641\u0631\u0648\u0642 \u0627\u0644\u0635\u063a\u064a\u0631\u0629 \u062a\u062a\u0636\u062e\u0645 \u0628\u0635\u0648\u0631\u0629 \u0645\u062a\u0633\u0627\u0631\u0639\u0629\u060c \u0648\u062a\u0646\u062a\u062c \u0628\u0646\u064a\u0629 \u0632\u0645\u0646\u064a\u0629 \u0645\u0639\u0642\u062f\u0629 \u0644\u0627 \u062a\u0634\u0628\u0647 \u0627\u0644\u062a\u0630\u0628\u0630\u0628 \u0627\u0644\u062f\u0648\u0631\u064a \u0627\u0644\u0628\u0633\u064a\u0637.<\/p>\n<p>\u0648\u0644\u0647\u0630\u0627 \u0641\u0625\u0646 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0641\u0648\u0636\u0649 \u0644\u0627 \u062a\u0628\u062d\u062b \u0639\u0646 \u00ab\u0627\u0644\u0641\u0648\u0636\u0649\u00bb \u0628\u0645\u0639\u0646\u0649 \u063a\u064a\u0627\u0628 \u0627\u0644\u0646\u0638\u0627\u0645\u060c \u0628\u0644 \u062a\u0628\u062d\u062b \u0639\u0646 \u0627\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u0639\u0645\u064a\u0642 \u0627\u0644\u0643\u0627\u0645\u0646 \u0648\u0631\u0627\u0621 \u0627\u0644\u0633\u0644\u0648\u0643 \u0627\u0644\u0630\u064a \u064a\u0628\u062f\u0648 \u063a\u064a\u0631 \u0645\u0646\u062a\u0638\u0645. \u0648\u064a\u0645\u0643\u0646 \u0644\u0646\u0638\u0627\u0645 \u0628\u0633\u064a\u0637 \u062c\u062f\u064b\u0627 \u0645\u0646 \u062d\u064a\u062b \u0639\u062f\u062f \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0648\u0627\u0644\u0645\u062a\u063a\u064a\u0631\u0627\u062a \u0623\u0646 \u064a\u0646\u062a\u062c \u0633\u0644\u0648\u0643\u064b\u0627 \u0628\u0627\u0644\u063a \u0627\u0644\u062a\u0639\u0642\u064a\u062f.<\/p>\n<h2>\u0627\u0644\u062d\u062a\u0645\u064a\u0629 \u0644\u0627 \u062a\u0639\u0646\u064a \u0642\u0627\u0628\u0644\u064a\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u0627\u0644\u0645\u0637\u0644\u0642\u0629<\/h2>\n<p>\u0645\u0646 \u0623\u0643\u062b\u0631 \u0627\u0644\u0623\u0641\u0643\u0627\u0631 \u0623\u0647\u0645\u064a\u0629 \u0641\u064a \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0641\u0648\u0636\u0649 \u0627\u0644\u062a\u0645\u064a\u064a\u0632 \u0628\u064a\u0646 \u0627\u0644\u062d\u062a\u0645\u064a\u0629 \u0648\u0642\u0627\u0628\u0644\u064a\u0629 \u0627\u0644\u062a\u0646\u0628\u0624. \u0627\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u062d\u062a\u0645\u064a \u0647\u0648 \u0627\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u0630\u064a \u062a\u062d\u062f\u062f \u0642\u0648\u0627\u0646\u064a\u0646\u0647 \u0627\u0644\u062d\u0627\u0644\u0629 \u0627\u0644\u0645\u0633\u062a\u0642\u0628\u0644\u064a\u0629 \u0628\u0635\u0648\u0631\u0629 \u0643\u0627\u0645\u0644\u0629 \u0625\u0630\u0627 \u0639\u064f\u0631\u0641\u062a \u0627\u0644\u062d\u0627\u0644\u0629 \u0627\u0644\u062d\u0627\u0644\u064a\u0629 \u0628\u062f\u0642\u0629 \u0643\u0627\u0641\u064a\u0629. \u0644\u0643\u0646 \u0625\u0630\u0627 \u0643\u0627\u0646 \u0627\u0644\u0646\u0638\u0627\u0645 \u062d\u0633\u0627\u0633\u064b\u0627 \u0644\u0644\u0634\u0631\u0648\u0637 \u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629\u060c \u0641\u0625\u0646 \u062e\u0637\u0623 \u0635\u063a\u064a\u0631\u064b\u0627 \u0641\u064a \u0642\u064a\u0627\u0633 \u0627\u0644\u062d\u0627\u0644\u0629 \u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629 \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u062a\u0636\u062e\u0645 \u0645\u0639 \u0627\u0644\u0632\u0645\u0646\u060c \u0641\u064a\u0635\u0628\u062d \u0627\u0644\u062a\u0646\u0628\u0624 \u0628\u0639\u064a\u062f \u0627\u0644\u0645\u062f\u0649 \u063a\u064a\u0631 \u0639\u0645\u0644\u064a \u062d\u062a\u0649 \u0644\u0648 \u0643\u0627\u0646\u062a \u0627\u0644\u0642\u0648\u0627\u0646\u064a\u0646 \u0646\u0641\u0633\u0647\u0627 \u0645\u0639\u0631\u0648\u0641\u0629 \u062a\u0645\u0627\u0645\u064b\u0627.<\/p>\n<p>\u0648\u0642\u062f \u0623\u0638\u0647\u0631 \u0625\u062f\u0648\u0627\u0631\u062f \u0644\u0648\u0631\u0646\u0632 \u0641\u064a \u0628\u062d\u062b\u0647 \u0627\u0644\u0645\u0646\u0634\u0648\u0631 \u0633\u0646\u0629 1963 \u0623\u0646 \u0623\u0646\u0638\u0645\u0629 \u0645\u062d\u062f\u062f\u0629 \u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062a\u0641\u0627\u0636\u0644\u064a\u0629 \u063a\u064a\u0631 \u0627\u0644\u062e\u0637\u064a\u0629 \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0645\u062a\u0644\u0643 \u062d\u0644\u0648\u0644\u064b\u0627 \u0645\u062d\u062f\u0648\u062f\u0629 \u0648\u063a\u064a\u0631 \u062f\u0648\u0631\u064a\u0629\u060c \u0648\u0623\u0646 \u062d\u0644\u0648\u0644\u064b\u0627 \u062a\u0628\u062f\u0623 \u0645\u0646 \u062d\u0627\u0644\u0627\u062a \u0623\u0648\u0644\u064a\u0629 \u0645\u062a\u0642\u0627\u0631\u0628\u0629 \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u062a\u0628\u0627\u0639\u062f \u0628\u0635\u0648\u0631\u0629 \u0643\u0628\u064a\u0631\u0629. \u0648\u0631\u0628\u0637 \u0644\u0648\u0631\u0646\u0632 \u0647\u0630\u0647 \u0627\u0644\u0646\u062a\u064a\u062c\u0629 \u0645\u0628\u0627\u0634\u0631\u0629 \u0628\u0645\u0634\u0643\u0644\u0629 \u0625\u0645\u0643\u0627\u0646\u064a\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u0627\u0644\u062c\u0648\u064a \u0628\u0639\u064a\u062f \u0627\u0644\u0645\u062f\u0649. <sup class=\"ref\"><a href=\"https:\/\/journals.ametsoc.org\/view\/journals\/atsc\/20\/2\/1520-0469_1963_020_0130_dnf_2_0_co_2.xml\" title=\"2|Deterministic Nonperiodic Flow|Edward N. Lorenz|1963\" target=\"_blank\" rel=\"noopener\">[2]<\/a><\/sup><\/p>\n<h2>\u0647\u0646\u0631\u064a \u0628\u0648\u0627\u0646\u0643\u0627\u0631\u064a\u0647 \u0648\u0628\u062f\u0627\u064a\u0627\u062a \u0627\u0644\u062a\u0641\u0643\u064a\u0631 \u0627\u0644\u0641\u0648\u0636\u0648\u064a<\/h2>\n<p>\u062a\u0639\u0648\u062f \u062c\u0630\u0648\u0631 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0641\u0648\u0636\u0649 \u0627\u0644\u062d\u062f\u064a\u062b\u0629 \u0625\u0644\u0649 \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a\u0629 \u0648\u0627\u0644\u0645\u064a\u0643\u0627\u0646\u064a\u0643\u0627 \u0627\u0644\u0633\u0645\u0627\u0648\u064a\u0629 \u0641\u064a \u0627\u0644\u0642\u0631\u0646 \u0627\u0644\u062a\u0627\u0633\u0639 \u0639\u0634\u0631. \u0648\u0643\u0627\u0646 \u0647\u0646\u0631\u064a \u0628\u0648\u0627\u0646\u0643\u0627\u0631\u064a\u0647 \u0645\u0646 \u0623\u0647\u0645 \u0627\u0644\u0639\u0644\u0645\u0627\u0621 \u0627\u0644\u0630\u064a\u0646 \u0623\u062f\u0631\u0643\u0648\u0627 \u0623\u0646 \u062f\u0631\u0627\u0633\u0629 \u062d\u0631\u0643\u0629 \u0639\u062f\u0629 \u0623\u062c\u0633\u0627\u0645 \u062a\u062d\u062a \u062a\u0623\u062b\u064a\u0631 \u0627\u0644\u062c\u0627\u0630\u0628\u064a\u0629 \u0644\u0627 \u064a\u0645\u0643\u0646 \u0627\u062e\u062a\u0632\u0627\u0644\u0647\u0627 \u062f\u0627\u0626\u0645\u064b\u0627 \u0625\u0644\u0649 \u062d\u0644\u0648\u0644 \u0628\u0633\u064a\u0637\u0629 \u0648\u062f\u0648\u0631\u064a\u0629.<\/p>\n<p>\u0641\u064a \u062f\u0631\u0627\u0633\u062a\u0647 \u0644\u0645\u0633\u0623\u0644\u0629 \u0627\u0644\u0623\u062c\u0633\u0627\u0645 \u0627\u0644\u062b\u0644\u0627\u062b\u0629\u060c \u0627\u0643\u062a\u0634\u0641 \u0628\u0648\u0627\u0646\u0643\u0627\u0631\u064a\u0647 \u0628\u0646\u0649 \u0647\u0646\u062f\u0633\u064a\u0629 \u0648\u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a\u0629 \u0645\u0639\u0642\u062f\u0629 \u0641\u064a \u0641\u0636\u0627\u0621 \u0627\u0644\u0637\u0648\u0631\u060c \u0648\u0623\u0638\u0647\u0631 \u0623\u0646 \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0627\u0633\u062a\u0642\u0631\u0627\u0631 \u0641\u064a \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0633\u0645\u0627\u0648\u064a\u0629 \u0623\u0643\u062b\u0631 \u062a\u0639\u0642\u064a\u062f\u064b\u0627 \u0645\u0645\u0627 \u0643\u0627\u0646 \u064a\u064f\u0639\u062a\u0642\u062f. \u0643\u0645\u0627 \u0627\u0631\u062a\u0628\u0637\u062a \u0623\u0639\u0645\u0627\u0644\u0647 \u0628\u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u0639\u0648\u062f\u0629 \u0623\u0648 \u0627\u0644\u062a\u0643\u0631\u0627\u0631\u060c \u0648\u0628\u0646\u0634\u0648\u0621 \u0623\u062f\u0648\u0627\u062a \u0623\u0635\u0628\u062d\u062a \u0644\u0627\u062d\u0642\u064b\u0627 \u0645\u0631\u0643\u0632\u064a\u0629 \u0641\u064a \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a\u0629. <sup class=\"ref\"><a href=\"https:\/\/mathshistory.st-andrews.ac.uk\/SH\/poincare_sh.pdf\" title=\"3|Henri Poincar\u00e9: Research in topology and dynamical systems|University of St Andrews, MacTutor History of Mathematics|2026\" target=\"_blank\" rel=\"noopener\">[3]<\/a><\/sup><\/p>\n<h2>\u0645\u0646 \u0627\u0644\u0645\u064a\u0643\u0627\u0646\u064a\u0643\u0627 \u0627\u0644\u0633\u0645\u0627\u0648\u064a\u0629 \u0625\u0644\u0649 \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a\u0629<\/h2>\n<p>\u0643\u0627\u0646 \u0627\u0644\u0633\u0624\u0627\u0644 \u0627\u0644\u0643\u0644\u0627\u0633\u064a\u0643\u064a \u0641\u064a \u0627\u0644\u0645\u064a\u0643\u0627\u0646\u064a\u0643\u0627 \u0647\u0648 \u0645\u0639\u0631\u0641\u0629 \u0627\u0644\u062d\u0631\u0643\u0629 \u0627\u0644\u0645\u0633\u062a\u0642\u0628\u0644\u064a\u0629 \u0644\u0644\u0623\u062c\u0633\u0627\u0645 \u0639\u0646\u062f\u0645\u0627 \u062a\u0643\u0648\u0646 \u0627\u0644\u0642\u0648\u0627\u0646\u064a\u0646 \u0627\u0644\u0641\u064a\u0632\u064a\u0627\u0626\u064a\u0629 \u0645\u0639\u0631\u0648\u0641\u0629. \u0644\u0643\u0646 \u0648\u062c\u0648\u062f \u0627\u0644\u062a\u0641\u0627\u0639\u0644\u0627\u062a \u063a\u064a\u0631 \u0627\u0644\u062e\u0637\u064a\u0629 \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u062c\u0639\u0644 \u0627\u0644\u062d\u0644\u0648\u0644 \u0634\u062f\u064a\u062f\u0629 \u0627\u0644\u062d\u0633\u0627\u0633\u064a\u0629 \u0644\u0644\u0638\u0631\u0648\u0641 \u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629.<\/p>\n<p>\u0648\u0647\u0643\u0630\u0627 \u062a\u062d\u0648\u0644\u062a \u0627\u0644\u0645\u0633\u0623\u0644\u0629 \u062a\u062f\u0631\u064a\u062c\u064a\u064b\u0627 \u0645\u0646 \u0627\u0644\u0628\u062d\u062b \u0639\u0646 \u00ab\u0635\u064a\u063a\u0629 \u0645\u063a\u0644\u0642\u0629\u00bb \u0644\u0645\u0633\u0627\u0631 \u0627\u0644\u062c\u0633\u0645 \u0625\u0644\u0649 \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0628\u0646\u064a\u0629 \u0627\u0644\u0646\u0648\u0639\u064a\u0629 \u0644\u0644\u0645\u0633\u0627\u0631\u0627\u062a: \u0647\u0644 \u062a\u062a\u0643\u0631\u0631\u061f \u0647\u0644 \u062a\u0642\u062a\u0631\u0628 \u0645\u0646 \u062d\u0627\u0644\u0629 \u0645\u0633\u062a\u0642\u0631\u0629\u061f \u0647\u0644 \u062a\u062a\u0630\u0628\u0630\u0628\u061f \u0647\u0644 \u062a\u0628\u0642\u0649 \u0645\u062d\u0635\u0648\u0631\u0629\u061f \u0648\u0647\u0644 \u062a\u062a\u0628\u0627\u0639\u062f \u0627\u0644\u0645\u0633\u0627\u0631\u0627\u062a \u0627\u0644\u0645\u062a\u062c\u0627\u0648\u0631\u0629\u061f \u0647\u0630\u0647 \u0627\u0644\u0623\u0633\u0626\u0644\u0629 \u0623\u0635\u0628\u062d\u062a \u0623\u0633\u0627\u0633\u064b\u0627 \u0644\u0644\u0645\u0646\u0638\u0648\u0631 \u0627\u0644\u062d\u062f\u064a\u062b \u0641\u064a \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a\u0629.<\/p>\n<h2>\u0625\u062f\u0648\u0627\u0631\u062f \u0644\u0648\u0631\u0646\u0632 \u0648\u0627\u0644\u062a\u062d\u0648\u0644 \u0627\u0644\u062d\u0627\u0633\u0645<\/h2>\n<p>\u0641\u064a \u0633\u0646\u0629 1963 \u0646\u0634\u0631 \u0639\u0627\u0644\u0645 \u0627\u0644\u0623\u0631\u0635\u0627\u062f \u0648\u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0625\u062f\u0648\u0627\u0631\u062f \u0644\u0648\u0631\u0646\u0632 \u0628\u062d\u062b\u0647 \u0627\u0644\u0634\u0647\u064a\u0631 \u00abDeterministic Nonperiodic Flow\u00bb \u0641\u064a <em>Journal of the Atmospheric Sciences<\/em>\u060c \u0627\u0644\u0645\u062c\u0644\u062f 20\u060c \u0627\u0644\u0635\u0641\u062d\u0627\u062a 130\u2013141. \u062f\u0631\u0633 \u0644\u0648\u0631\u0646\u0632 \u0646\u0638\u0627\u0645\u064b\u0627 \u0645\u0628\u0633\u0637\u064b\u0627 \u0644\u0644\u062d\u0645\u0644 \u0627\u0644\u062c\u0648\u064a \u064a\u062a\u0643\u0648\u0646 \u0645\u0646 \u062b\u0644\u0627\u062b \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u062a\u0641\u0627\u0636\u0644\u064a\u0629 \u063a\u064a\u0631 \u062e\u0637\u064a\u0629\u060c \u0648\u0628\u064a\u0651\u0646 \u0623\u0646 \u0627\u0644\u0646\u0638\u0627\u0645 \u064a\u0645\u0643\u0646 \u0623\u0646 \u064a\u0646\u062a\u062c \u062d\u0644\u0648\u0644\u064b\u0627 \u063a\u064a\u0631 \u062f\u0648\u0631\u064a\u0629 \u0634\u062f\u064a\u062f\u0629 \u0627\u0644\u062d\u0633\u0627\u0633\u064a\u0629 \u0644\u0644\u062a\u063a\u064a\u0631\u0627\u062a \u0627\u0644\u0635\u063a\u064a\u0631\u0629 \u0641\u064a \u0627\u0644\u062d\u0627\u0644\u0629 \u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629. <sup class=\"ref\"><a href=\"https:\/\/journals.ametsoc.org\/view\/journals\/atsc\/20\/2\/1520-0469_1963_020_0130_dnf_2_0_co_2.xml\" title=\"4|Deterministic Nonperiodic Flow, Journal of the Atmospheric Sciences, Vol. 20, pp. 130\u2013141|Edward N. Lorenz|1963\" target=\"_blank\" rel=\"noopener\">[4]<\/a><\/sup><\/p>\n<p>\u0643\u0627\u0646 \u0644\u0647\u0630\u0627 \u0627\u0644\u0639\u0645\u0644 \u062a\u0623\u062b\u064a\u0631 \u0628\u0627\u0644\u063a \u0641\u064a \u062a\u0637\u0648\u0631 \u0639\u0644\u0645 \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a\u0629\u061b \u0644\u0623\u0646\u0647 \u0623\u0648\u0636\u062d \u0628\u0635\u0648\u0631\u0629 \u0639\u0645\u0644\u064a\u0629 \u0623\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062d\u062a\u0645\u064a\u0629 \u0627\u0644\u0628\u0633\u064a\u0637\u0629 \u0646\u0633\u0628\u064a\u064b\u0627 \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0646\u062a\u062c \u0633\u0644\u0648\u0643\u064b\u0627 \u063a\u064a\u0631 \u062f\u0648\u0631\u064a \u0648\u063a\u064a\u0631 \u0642\u0627\u0628\u0644 \u0644\u0644\u062a\u0646\u0628\u0624 \u0628\u0639\u064a\u062f \u0627\u0644\u0645\u062f\u0649.<\/p>\n<h2>\u0646\u0638\u0627\u0645 \u0644\u0648\u0631\u0646\u0632<\/h2>\n<p>\u064a\u062a\u0643\u0648\u0646 \u0646\u0638\u0627\u0645 \u0644\u0648\u0631\u0646\u0632 \u0627\u0644\u0634\u0647\u064a\u0631 \u0645\u0646 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a:<\/p>\n<p><em>dx\/dt = \u03c3(y \u2212 x)<\/em><\/p>\n<p><em>dy\/dt = x(\u03c1 \u2212 z) \u2212 y<\/em><\/p>\n<p><em>dz\/dt = xy \u2212 \u03b2z<\/em><\/p>\n<p>\u062d\u064a\u062b <em>\u03c3<\/em> \u0648<em>\u03c1<\/em> \u0648<em>\u03b2<\/em> \u0645\u0639\u0627\u0645\u0644\u0627\u062a \u062a\u062d\u062f\u062f \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0646\u0638\u0627\u0645.<\/p>\n<p>\u0641\u064a \u0627\u0644\u0642\u064a\u0645 \u0627\u0644\u0643\u0644\u0627\u0633\u064a\u0643\u064a\u0629 \u0627\u0644\u062a\u064a \u062f\u0631\u0633\u0647\u0627 \u0644\u0648\u0631\u0646\u0632\u060c <em>\u03c3 = 10<\/em> \u0648<em>\u03c1 = 28<\/em> \u0648<em>\u03b2 = 8\/3<\/em>. \u0648\u0639\u0646\u062f \u062f\u0631\u0627\u0633\u0629 \u0647\u0630\u0647 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0639\u062f\u062f\u064a\u064b\u0627 \u062a\u0638\u0647\u0631 \u062d\u0631\u0643\u0629 \u0645\u0639\u0642\u062f\u0629 \u0641\u064a \u0641\u0636\u0627\u0621 \u0627\u0644\u0637\u0648\u0631\u060c \u0648\u0647\u064a \u0645\u0646 \u0623\u0634\u0647\u0631 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0639\u0644\u0649 \u0627\u0644\u0633\u0644\u0648\u0643 \u0627\u0644\u0641\u0648\u0636\u0648\u064a. <sup class=\"ref\"><a href=\"https:\/\/journals.ametsoc.org\/view\/journals\/atsc\/20\/2\/1520-0469_1963_020_0130_dnf_2_0_co_2.xml\" title=\"5|Lorenz equations and parameter values|Edward N. Lorenz|1963\" target=\"_blank\" rel=\"noopener\">[5]<\/a><\/sup><\/p>\n<h2>\u062c\u0627\u0630\u0628 \u0644\u0648\u0631\u0646\u0632<\/h2>\n<p>\u0639\u0646\u062f \u062a\u0645\u062b\u064a\u0644 \u0645\u0633\u0627\u0631 \u0646\u0638\u0627\u0645 \u0644\u0648\u0631\u0646\u0632 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 \u062b\u0644\u0627\u062b\u064a \u0627\u0644\u0623\u0628\u0639\u0627\u062f\u060c \u064a\u0638\u0647\u0631 \u0634\u0643\u0644 \u0647\u0646\u062f\u0633\u064a \u0645\u0645\u064a\u0632 \u0623\u0635\u0628\u062d \u064a\u0639\u0631\u0641 \u0628\u0627\u0633\u0645 \u00ab\u062c\u0627\u0630\u0628 \u0644\u0648\u0631\u0646\u0632\u00bb. \u0648\u064a\u062a\u0645\u064a\u0632 \u0647\u0630\u0627 \u0627\u0644\u062c\u0627\u0630\u0628 \u0628\u0628\u0646\u064a\u0629 \u0645\u0639\u0642\u062f\u0629 \u062a\u062c\u0639\u0644 \u0627\u0644\u0645\u0633\u0627\u0631\u0627\u062a \u0645\u062d\u0635\u0648\u0631\u0629 \u0636\u0645\u0646 \u0645\u0646\u0637\u0642\u0629 \u0645\u0639\u064a\u0646\u0629 \u0645\u0646 \u0641\u0636\u0627\u0621 \u0627\u0644\u0637\u0648\u0631\u060c \u0645\u0639 \u0627\u0633\u062a\u0645\u0631\u0627\u0631 \u0627\u0644\u062d\u0631\u0643\u0629 \u062f\u0648\u0646 \u0627\u0633\u062a\u0642\u0631\u0627\u0631 \u0641\u064a \u0646\u0642\u0637\u0629 \u0648\u0627\u062d\u062f\u0629 \u0623\u0648 \u062a\u0643\u0631\u0627\u0631 \u062f\u0648\u0631\u064a \u0628\u0633\u064a\u0637.<\/p>\n<p>\u0648\u062a\u0643\u0645\u0646 \u0623\u0647\u0645\u064a\u0629 \u0627\u0644\u062c\u0627\u0630\u0628 \u0641\u064a \u0623\u0646\u0647 \u064a\u0642\u062f\u0645 \u062a\u0645\u062b\u064a\u0644\u064b\u0627 \u0647\u0646\u062f\u0633\u064a\u064b\u0627 \u0644\u0644\u0633\u0644\u0648\u0643 \u0627\u0644\u0641\u0648\u0636\u0648\u064a: \u0627\u0644\u0646\u0638\u0627\u0645 \u0644\u0627 \u064a\u062a\u062d\u0631\u0643 \u0628\u0635\u0648\u0631\u0629 \u0639\u0634\u0648\u0627\u0626\u064a\u0629 \u0641\u064a \u062c\u0645\u064a\u0639 \u0627\u0644\u0627\u062a\u062c\u0627\u0647\u0627\u062a\u060c \u0628\u0644 \u064a\u0628\u0642\u0649 \u062f\u0627\u062e\u0644 \u0628\u0646\u064a\u0629 \u0645\u062d\u062f\u062f\u0629 \u0630\u0627\u062a \u062a\u0646\u0638\u064a\u0645 \u062f\u0627\u062e\u0644\u064a \u062f\u0642\u064a\u0642.<\/p>\n<h2>\u0623\u062b\u0631 \u0627\u0644\u0641\u0631\u0627\u0634\u0629<\/h2>\n<p>\u0627\u0631\u062a\u0628\u0637 \u0627\u0633\u0645 \u0644\u0648\u0631\u0646\u0632 \u0623\u064a\u0636\u064b\u0627 \u0628\u0627\u0644\u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u0634\u0647\u064a\u0631 \u0627\u0644\u0645\u0639\u0631\u0648\u0641 \u0628\u0627\u0633\u0645 \u00ab\u0623\u062b\u0631 \u0627\u0644\u0641\u0631\u0627\u0634\u0629\u00bb. \u0648\u0627\u0644\u0641\u0643\u0631\u0629 \u0627\u0644\u0639\u0644\u0645\u064a\u0629 \u0627\u0644\u0623\u0633\u0627\u0633\u064a\u0629 \u0644\u064a\u0633\u062a \u0623\u0646 \u0641\u0631\u0627\u0634\u0629 \u0628\u0639\u064a\u0646\u0647\u0627 \u062a\u062a\u0633\u0628\u0628 \u0645\u0628\u0627\u0634\u0631\u0629 \u0641\u064a \u0625\u0639\u0635\u0627\u0631\u060c \u0628\u0644 \u0623\u0646 \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u062c\u0648\u064a\u0629 \u0627\u0644\u062d\u0633\u0627\u0633\u0629 \u0644\u0644\u0634\u0631\u0648\u0637 \u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629 \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u062a\u063a\u064a\u0631 \u062a\u0646\u0628\u0624\u0627\u062a\u0647\u0627 \u0627\u0644\u0645\u0633\u062a\u0642\u0628\u0644\u064a\u0629 \u0628\u062f\u0631\u062c\u0629 \u0643\u0628\u064a\u0631\u0629 \u0639\u0646\u062f\u0645\u0627 \u062a\u062e\u062a\u0644\u0641 \u0627\u0644\u062d\u0627\u0644\u0629 \u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629 \u0627\u062e\u062a\u0644\u0627\u0641\u064b\u0627 \u0635\u063a\u064a\u0631\u064b\u0627 \u062c\u062f\u064b\u0627.<\/p>\n<p>\u0648\u0642\u062f \u0643\u0627\u0646 \u0644\u0648\u0631\u0646\u0632 \u0645\u0646 \u0623\u0648\u0627\u0626\u0644 \u0627\u0644\u0639\u0644\u0645\u0627\u0621 \u0627\u0644\u0630\u064a\u0646 \u0623\u0648\u0636\u062d\u0648\u0627 \u0623\u0646 \u0645\u062d\u062f\u0648\u062f\u064a\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u0627\u0644\u062c\u0648\u064a \u0644\u0627 \u062a\u0631\u062a\u0628\u0637 \u0641\u0642\u0637 \u0628\u0636\u0639\u0641 \u0627\u0644\u0646\u0645\u0627\u0630\u062c \u0623\u0648 \u0646\u0642\u0635 \u0627\u0644\u062d\u0648\u0627\u0633\u064a\u0628\u060c \u0628\u0644 \u062a\u0631\u062a\u0628\u0637 \u0623\u064a\u0636\u064b\u0627 \u0628\u0627\u0644\u0628\u0646\u064a\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0644\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u062c\u0648\u064a \u0646\u0641\u0633\u0647. <sup class=\"ref\"><a href=\"https:\/\/journals.ametsoc.org\/view\/journals\/atsc\/20\/2\/1520-0469_1963_020_0130_dnf_2_0_co_2.xml\" title=\"6|Atmospheric predictability and sensitivity to initial conditions|Edward N. Lorenz|1963\" target=\"_blank\" rel=\"noopener\">[6]<\/a><\/sup><\/p>\n<h2>\u0627\u0644\u062d\u0633\u0627\u0633\u064a\u0629 \u0644\u0644\u0634\u0631\u0648\u0637 \u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629<\/h2>\n<p>\u0627\u0644\u062d\u0633\u0627\u0633\u064a\u0629 \u0644\u0644\u0634\u0631\u0648\u0637 \u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629 \u0647\u064a \u0625\u062d\u062f\u0649 \u0623\u0647\u0645 \u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0633\u0644\u0648\u0643 \u0627\u0644\u0641\u0648\u0636\u0648\u064a. \u0641\u0625\u0630\u0627 \u0628\u062f\u0623 \u0645\u0633\u0627\u0631\u0627\u0646 \u0645\u0646 \u0646\u0642\u0637\u062a\u064a\u0646 \u0645\u062a\u0642\u0627\u0631\u0628\u062a\u064a\u0646 \u062c\u062f\u064b\u0627 \u0641\u064a \u0641\u0636\u0627\u0621 \u0627\u0644\u0637\u0648\u0631\u060c \u0641\u0642\u062f \u064a\u0628\u0642\u064a\u0627\u0646 \u0645\u062a\u0642\u0627\u0631\u0628\u064a\u0646 \u0641\u064a \u0627\u0644\u0628\u062f\u0627\u064a\u0629\u060c \u062b\u0645 \u062a\u0632\u062f\u0627\u062f \u0627\u0644\u0645\u0633\u0627\u0641\u0629 \u0628\u064a\u0646\u0647\u0645\u0627 \u0628\u0645\u0631\u0648\u0631 \u0627\u0644\u0632\u0645\u0646.<\/p>\n<p>\u064a\u0645\u0643\u0646 \u062a\u0645\u062b\u064a\u0644 \u0627\u0644\u0641\u0643\u0631\u0629 \u0628\u0635\u0648\u0631\u0629 \u062a\u0642\u0631\u064a\u0628\u064a\u0629 \u0628\u0627\u0644\u0639\u0644\u0627\u0642\u0629:<\/p>\n<p><em>\u03b4(t) \u2248 \u03b4<sub>0<\/sub>e<sup>\u03bbt<\/sup><\/em><\/p>\n<p>\u062d\u064a\u062b <em>\u03b4<sub>0<\/sub><\/em> \u0647\u0648 \u0627\u0644\u0641\u0631\u0642 \u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a \u0648<em>\u03bb<\/em> \u0645\u0639\u062f\u0644 \u0646\u0645\u0648\u0647 \u0627\u0644\u062a\u0642\u0631\u064a\u0628\u064a. \u0639\u0646\u062f\u0645\u0627 \u064a\u0643\u0648\u0646 \u0645\u0639\u062f\u0644 \u0627\u0644\u0646\u0645\u0648 \u0627\u0644\u0623\u0633\u064a \u0645\u0648\u062c\u0628\u064b\u0627 \u0641\u064a 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\u0627\u0644\u0645\u062a\u0642\u0637\u0639\u0629<\/h2>\n<p>\u0644\u0627 \u062a\u0642\u062a\u0635\u0631 \u0627\u0644\u0641\u0648\u0636\u0649 \u0639\u0644\u0649 \u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062a\u0641\u0627\u0636\u0644\u064a\u0629 \u0627\u0644\u0645\u0633\u062a\u0645\u0631\u0629. \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0638\u0647\u0631 \u0623\u064a\u0636\u064b\u0627 \u0641\u064a \u0623\u0646\u0638\u0645\u0629 \u0645\u062a\u0642\u0637\u0639\u0629\u060c \u062d\u064a\u062b \u062a\u062a\u063a\u064a\u0631 \u0627\u0644\u062d\u0627\u0644\u0629 \u0648\u0641\u0642 \u0642\u0627\u0639\u062f\u0629 \u062a\u0643\u0631\u0627\u0631\u064a\u0629:<\/p>\n<p><em>x<sub>n+1<\/sub> = f(x<sub>n<\/sub>)<\/em><\/p>\n<p>\u0648\u0645\u0646 \u0623\u0634\u0647\u0631 \u0627\u0644\u0623\u0645\u062b\u0644\u0629 \u0627\u0644\u062e\u0631\u064a\u0637\u0629 \u0627\u0644\u0644\u0648\u062c\u0633\u062a\u064a\u0629:<\/p>\n<p><em>x<sub>n+1<\/sub> = r x<sub>n<\/sub>(1 \u2212 x<sub>n<\/sub>)<\/em><\/p>\n<p>\u0648\u0639\u0646\u062f \u0642\u064a\u0645 \u0645\u0639\u064a\u0646\u0629 \u0644\u0644\u0645\u0639\u0627\u0645\u0644 <em>r<\/em> \u064a\u0645\u0643\u0646 \u0644\u0644\u0646\u0638\u0627\u0645 \u0623\u0646 \u064a\u0646\u062a\u0642\u0644 \u0645\u0646 \u0646\u0642\u0627\u0637 \u062b\u0627\u0628\u062a\u0629 \u0625\u0644\u0649 \u062f\u0648\u0631\u0627\u062a \u062b\u0645 \u0625\u0644\u0649 \u0633\u0644\u0648\u0643 \u0623\u0643\u062b\u0631 \u062a\u0639\u0642\u064a\u062f\u064b\u0627 \u0648\u0641\u0648\u0636\u0648\u064a\u0629. \u0648\u062a\u0639\u062f \u0627\u0644\u062e\u0631\u064a\u0637\u0629 \u0627\u0644\u0644\u0648\u062c\u0633\u062a\u064a\u0629 \u0646\u0645\u0648\u0630\u062c\u064b\u0627 \u0645\u0647\u0645\u064b\u0627 \u0644\u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0627\u0646\u062a\u0642\u0627\u0644 \u0625\u0644\u0649 \u0627\u0644\u0641\u0648\u0636\u0649 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\u0623\u0643\u0627\u062f\u064a\u0645\u064a\u0629 \u0641\u064a \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a\u0629 \u0647\u0630\u0647 \u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0628\u0648\u0635\u0641\u0647\u0627 \u0623\u062d\u062f \u0627\u0644\u062a\u0639\u0631\u064a\u0641\u0627\u062a \u0627\u0644\u0634\u0627\u0626\u0639\u0629 \u0644\u0644\u0641\u0648\u0636\u0649. <sup class=\"ref\"><a href=\"https:\/\/www.ams.org\/bookstore\/pspdf\/amstext-44-prev.pdf\" title=\"7|Real Numbers and Dynamical Systems: definition of chaotic dynamical systems|American Mathematical Society|2026\" target=\"_blank\" rel=\"noopener\">[7]<\/a><\/sup><\/p>\n<h2>\u0627\u0644\u062a\u0639\u062f\u064a \u0627\u0644\u0637\u0648\u0628\u0648\u0644\u0648\u062c\u064a<\/h2>\n<p>\u0627\u0644\u062a\u0639\u062f\u064a \u0627\u0644\u0637\u0648\u0628\u0648\u0644\u0648\u062c\u064a \u064a\u0639\u0646\u064a\u060c \u0628\u0635\u0648\u0631\u0629 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\u062a\u0633\u0627\u0639\u062f \u0639\u0644\u0649 \u0627\u0644\u062a\u0645\u064a\u064a\u0632 \u0628\u064a\u0646 \u0646\u0638\u0627\u0645 \u064a\u0645\u062a\u0644\u0643 \u062d\u0631\u0643\u0629 \u062f\u0648\u0631\u064a\u0629 \u0628\u0633\u064a\u0637\u0629 \u0648\u0646\u0638\u0627\u0645 \u064a\u0645\u062a\u0644\u0643 \u0642\u062f\u0631\u0629 \u0623\u0643\u0628\u0631 \u0639\u0644\u0649 \u0627\u0633\u062a\u0643\u0634\u0627\u0641 \u0641\u0636\u0627\u0626\u0647 \u0627\u0644\u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a.<\/p>\n<h2>\u0627\u0644\u0646\u0642\u0627\u0637 \u0627\u0644\u062f\u0648\u0631\u064a\u0629<\/h2>\n<p>\u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u062f\u0648\u0631\u064a\u0629 \u0647\u064a \u0646\u0642\u0637\u0629 \u062a\u0639\u0648\u062f \u0625\u0644\u0649 \u0645\u0648\u0636\u0639\u0647\u0627 \u0628\u0639\u062f \u0639\u062f\u062f \u0645\u062d\u062f\u062f \u0645\u0646 \u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0646\u0638\u0627\u0645. \u0641\u0625\u0630\u0627 \u0643\u0627\u0646:<\/p>\n<p><em>F<sup>n<\/sup>(x) = x<\/em><\/p>\n<p>\u0641\u0625\u0646 <em>x<\/em> \u0646\u0642\u0637\u0629 \u062f\u0648\u0631\u064a\u0629 \u0630\u0627\u062a \u0641\u062a\u0631\u0629 \u062a\u0642\u0633\u0645 <em>n<\/em> \u0623\u0648 \u062a\u0633\u0627\u0648\u064a\u0647 \u0648\u0641\u0642 \u0627\u0644\u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u062f\u0642\u064a\u0642 \u0644\u0644\u0641\u062a\u0631\u0629.<\/p>\n<p>\u0648\u0645\u0646 \u0627\u0644\u0645\u0641\u0627\u0631\u0642\u0627\u062a \u0627\u0644\u0645\u0647\u0645\u0629 \u0641\u064a \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0641\u0648\u0636\u0648\u064a\u0629 \u0623\u0646 \u0648\u062c\u0648\u062f \u0646\u0642\u0627\u0637 \u0648\u0645\u062f\u0627\u0631\u0627\u062a \u062f\u0648\u0631\u064a\u0629 \u0644\u0627 \u064a\u062a\u0646\u0627\u0642\u0636 \u0645\u0639 \u0627\u0644\u0641\u0648\u0636\u0649\u061b \u0641\u0642\u062f \u062a\u0648\u062c\u062f \u0645\u062f\u0627\u0631\u0627\u062a \u062f\u0648\u0631\u064a\u0629 \u0643\u062b\u064a\u0631\u0629 \u062f\u0627\u062e\u0644 \u0646\u0638\u0627\u0645 \u0641\u0648\u0636\u0648\u064a\u060c \u0628\u064a\u0646\u0645\u0627 \u064a\u0643\u0648\u0646 \u0627\u0644\u0645\u062f\u0627\u0631 \u0627\u0644\u0646\u0645\u0648\u0630\u062c\u064a \u063a\u064a\u0631 \u062f\u0648\u0631\u064a.<\/p>\n<h2>\u0627\u0644\u0641\u0648\u0636\u0649 \u0644\u064a\u0633\u062a \u0639\u0634\u0648\u0627\u0626\u064a\u0629<\/h2>\n<p>\u0645\u0646 \u0623\u0643\u062b\u0631 \u0627\u0644\u0623\u062e\u0637\u0627\u0621 \u0634\u064a\u0648\u0639\u064b\u0627 \u0645\u0633\u0627\u0648\u0627\u0629 \u0627\u0644\u0641\u0648\u0636\u0649 \u0628\u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a\u0629. \u0641\u064a \u0627\u0644\u0639\u0645\u0644\u064a\u0629 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a\u0629 \u062a\u0648\u062c\u062f \u0639\u0646\u0627\u0635\u0631 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u0629 \u0641\u064a \u0627\u0644\u0642\u0627\u0646\u0648\u0646 \u0627\u0644\u0630\u064a \u064a\u0648\u0644\u062f \u0627\u0644\u0633\u0644\u0648\u0643\u060c \u0623\u0645\u0627 \u0641\u064a \u0627\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u0641\u0648\u0636\u0648\u064a \u0627\u0644\u062d\u062a\u0645\u064a \u0641\u0625\u0646 \u0627\u0644\u0642\u0627\u0646\u0648\u0646 \u0646\u0641\u0633\u0647 \u0642\u062f \u064a\u0643\u0648\u0646 \u0645\u062d\u062f\u062f\u064b\u0627 \u0628\u0627\u0644\u0643\u0627\u0645\u0644.<\/p>\n<p>\u0625\u0630\u0627 \u0639\u064f\u0631\u0641\u062a \u0627\u0644\u062d\u0627\u0644\u0629 \u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629 \u0627\u0644\u0645\u062b\u0627\u0644\u064a\u0629 \u0648\u0627\u0644\u0642\u0627\u0646\u0648\u0646 \u0627\u0644\u0631\u064a\u0627\u0636\u064a \u0628\u062f\u0642\u0629 \u0644\u0627 \u0646\u0647\u0627\u0626\u064a\u0629\u060c \u0641\u0625\u0646 \u0627\u0644\u0645\u0633\u062a\u0642\u0628\u0644 \u064a\u0643\u0648\u0646 \u0645\u062d\u062f\u062f\u064b\u0627. \u0644\u0643\u0646 \u0627\u0644\u0642\u064a\u0627\u0633\u0627\u062a \u0627\u0644\u0648\u0627\u0642\u0639\u064a\u0629 \u0645\u062d\u062f\u0648\u062f\u0629 \u0627\u0644\u062f\u0642\u0629\u060c \u0648\u0645\u0639 \u0627\u0644\u062d\u0633\u0627\u0633\u064a\u0629 \u0644\u0644\u0634\u0631\u0648\u0637 \u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629 \u064a\u0635\u0628\u062d \u0627\u0644\u062e\u0637\u0623 \u0627\u0644\u0635\u063a\u064a\u0631 \u0643\u0627\u0641\u064a\u064b\u0627 \u0644\u062a\u0642\u064a\u064a\u062f \u0627\u0644\u062a\u0646\u0628\u0624 \u0639\u0644\u0649 \u0627\u0644\u0645\u062f\u0649 \u0627\u0644\u0637\u0648\u064a\u0644.<\/p>\n<h2>\u062d\u062f\u0648\u062f \u0627\u0644\u062a\u0646\u0628\u0624<\/h2>\n<p>\u0644\u0627 \u062a\u0639\u0646\u064a \u0627\u0644\u0641\u0648\u0636\u0649 \u0623\u0646 \u0627\u0644\u062a\u0646\u0628\u0624 \u0645\u0633\u062a\u062d\u064a\u0644 \u062f\u0627\u0626\u0645\u064b\u0627. \u0641\u0641\u064a \u0643\u062b\u064a\u0631 \u0645\u0646 \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0641\u0648\u0636\u0648\u064a\u0629 \u064a\u0645\u0643\u0646 \u0625\u062c\u0631\u0627\u0621 \u062a\u0646\u0628\u0624\u0627\u062a \u062c\u064a\u062f\u0629 \u0639\u0644\u0649 \u0627\u0644\u0645\u062f\u0649 \u0627\u0644\u0642\u0635\u064a\u0631\u060c \u0644\u0643\u0646 \u0623\u0641\u0642 \u0627\u0644\u062a\u0646\u0628\u0624 \u064a\u0642\u0644 \u0645\u0639 \u0627\u0632\u062f\u064a\u0627\u062f \u0639\u062f\u0645 \u0627\u0644\u064a\u0642\u064a\u0646 \u0641\u064a \u0627\u0644\u062d\u0627\u0644\u0629 \u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629.<\/p>\n<p>\u0648\u0642\u062f \u062c\u0639\u0644 \u0647\u0630\u0627 \u0627\u0644\u0623\u0645\u0631 \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0641\u0648\u0636\u0649 \u0630\u0627\u062a \u0623\u0647\u0645\u064a\u0629 \u062e\u0627\u0635\u0629 \u0641\u064a \u0627\u0644\u0623\u0631\u0635\u0627\u062f \u0627\u0644\u062c\u0648\u064a\u0629\u060c \u062d\u064a\u062b \u062a\u0624\u062b\u0631 \u0627\u0644\u0623\u062e\u0637\u0627\u0621 \u0641\u064a \u0642\u064a\u0627\u0633 \u0627\u0644\u062d\u0627\u0644\u0629 \u0627\u0644\u062c\u0648\u064a\u0629 \u0627\u0644\u062d\u0627\u0644\u064a\u0629 \u0639\u0644\u0649 \u0627\u0644\u062a\u0648\u0642\u0639\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0642\u0628\u0644\u064a\u0629. \u0648\u0642\u062f \u0631\u0628\u0637 \u0644\u0648\u0631\u0646\u0632 \u0647\u0630\u0647 \u0627\u0644\u062d\u0633\u0627\u0633\u064a\u0629 \u0645\u0628\u0627\u0634\u0631\u0629 \u0628\u0645\u0634\u0643\u0644\u0629 \u0642\u0627\u0628\u0644\u064a\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u0628\u0627\u0644\u0637\u0642\u0633 \u0628\u0639\u064a\u062f \u0627\u0644\u0645\u062f\u0649. <sup class=\"ref\"><a href=\"https:\/\/journals.ametsoc.org\/view\/journals\/atsc\/20\/2\/1520-0469_1963_020_0130_dnf_2_0_co_2.xml\" title=\"8|Predictability of atmospheric flow|Edward N. Lorenz|1963\" target=\"_blank\" rel=\"noopener\">[8]<\/a><\/sup><\/p>\n<h2>\u0627\u0644\u0641\u0648\u0636\u0649 \u0641\u064a \u0627\u0644\u0623\u0631\u0635\u0627\u062f \u0627\u0644\u062c\u0648\u064a\u0629<\/h2>\n<p>\u064a\u0639\u062f \u0627\u0644\u063a\u0644\u0627\u0641 \u0627\u0644\u062c\u0648\u064a \u0645\u0646 \u0623\u0634\u0647\u0631 \u0627\u0644\u0645\u062c\u0627\u0644\u0627\u062a \u0627\u0644\u062a\u064a \u0633\u0627\u0639\u062f\u062a \u0639\u0644\u0649 \u062a\u0637\u0648\u064a\u0631 \u0641\u0647\u0645 \u0627\u0644\u0641\u0648\u0636\u0649. \u0641\u0627\u0644\u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0627\u0644\u062a\u064a \u062a\u0635\u0641 \u062d\u0631\u0643\u0629 \u0627\u0644\u063a\u0644\u0627\u0641 \u0627\u0644\u062c\u0648\u064a \u0648\u0627\u0644\u062d\u0631\u0627\u0631\u0629 \u0648\u0627\u0644\u0631\u0637\u0648\u0628\u0629 \u0648\u0627\u0644\u0636\u063a\u0637 \u0648\u0627\u0644\u0631\u064a\u0627\u062d \u063a\u064a\u0631 \u062e\u0637\u064a\u0629\u060c \u0648\u062a\u0648\u062c\u062f \u0641\u064a\u0647\u0627 \u062a\u0641\u0627\u0639\u0644\u0627\u062a \u0628\u064a\u0646 \u0645\u0642\u0627\u064a\u064a\u0633 \u0645\u0643\u0627\u0646\u064a\u0629 \u0648\u0632\u0645\u0646\u064a\u0629 \u0645\u062e\u062a\u0644\u0641\u0629.<\/p>\n<p>\u0648\u0644\u0647\u0630\u0627 \u0644\u0627 \u064a\u0643\u0641\u064a \u062a\u062d\u0633\u064a\u0646 \u0646\u0645\u0648\u0630\u062c \u0627\u0644\u0637\u0642\u0633 \u0625\u0644\u0649 \u0645\u0627 \u0644\u0627 \u0646\u0647\u0627\u064a\u0629 \u0644\u0644\u062d\u0635\u0648\u0644 \u0639\u0644\u0649 \u062a\u0646\u0628\u0624\u0627\u062a \u062f\u0642\u064a\u0642\u0629 \u0625\u0644\u0649 \u0627\u0644\u0623\u0628\u062f\u061b \u0641\u0647\u0646\u0627\u0643 \u062d\u062f \u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a \u0644\u0644\u062a\u0646\u0628\u0624 \u064a\u0631\u062a\u0628\u0637 \u0628\u0627\u0644\u062d\u0633\u0627\u0633\u064a\u0629 \u0644\u0644\u0634\u0631\u0648\u0637 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\u0628\u064a\u0646 \u0627\u0644\u0641\u0648\u0636\u0649 \u0648\u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a\u0629<\/h2>\n<p>\u064a\u0645\u0643\u0646 \u062a\u0644\u062e\u064a\u0635 \u0627\u0644\u0641\u0631\u0642 \u0627\u0644\u0623\u0633\u0627\u0633\u064a \u0641\u064a \u0623\u0646 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a\u0629 \u062a\u062a\u0636\u0645\u0646 \u0639\u0646\u0635\u0631\u064b\u0627 \u0627\u062d\u062a\u0645\u0627\u0644\u064a\u064b\u0627 \u0641\u064a \u0642\u0627\u0646\u0648\u0646 \u062a\u0648\u0644\u064a\u062f \u0627\u0644\u0646\u062a\u0627\u0626\u062c\u060c \u0628\u064a\u0646\u0645\u0627 \u064a\u0645\u0643\u0646 \u0644\u0644\u0641\u0648\u0636\u0649 \u0623\u0646 \u062a\u0646\u062a\u062c \u0639\u0646 \u0642\u0627\u0646\u0648\u0646 \u062d\u062a\u0645\u064a \u062a\u0645\u0627\u0645\u064b\u0627. \u0648\u0645\u0639 \u0630\u0644\u0643 \u0642\u062f \u062a\u062a\u0634\u0627\u0628\u0647 \u0627\u0644\u0646\u062a\u0627\u0626\u062c 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\u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u0641\u0648\u0636\u0648\u064a\u0629 \u0644\u064a\u0633 \u0641\u0642\u0637 \u0628\u0627\u0644\u0631\u0633\u0645 \u0648\u0627\u0644\u0645\u062d\u0627\u0643\u0627\u0629\u060c \u0628\u0644 \u0623\u064a\u0636\u064b\u0627 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0628\u0631\u0627\u0647\u064a\u0646 \u062f\u0642\u064a\u0642\u0629 \u062d\u0648\u0644 \u0648\u062c\u0648\u062f \u0627\u0644\u062c\u0627\u0630\u0628\u0627\u062a\u060c \u0648\u0627\u0644\u0627\u0633\u062a\u0642\u0631\u0627\u0631\u060c \u0648\u0627\u0644\u062a\u0634\u0639\u0628\u0627\u062a\u060c \u0648\u0627\u0644\u0645\u062f\u0627\u0631\u0627\u062a \u0627\u0644\u062f\u0648\u0631\u064a\u0629\u060c \u0648\u0627\u0644\u0628\u0646\u0649 \u0627\u0644\u0637\u0648\u0628\u0648\u0644\u0648\u062c\u064a\u0629.<\/p>\n<h2>\u0627\u0644\u062e\u0644\u0627\u0635\u0629<\/h2>\n<p>\u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0641\u0648\u0636\u0649 \u062a\u062f\u0631\u0633 \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u062d\u062a\u0645\u064a\u0629 \u063a\u064a\u0631 \u0627\u0644\u062e\u0637\u064a\u0629 \u0627\u0644\u062a\u064a \u064a\u0645\u0643\u0646 \u0623\u0646 \u062a\u0646\u062a\u062c \u0633\u0644\u0648\u0643\u064b\u0627 \u0634\u062f\u064a\u062f \u0627\u0644\u062a\u0639\u0642\u064a\u062f \u0648\u063a\u064a\u0631 \u062f\u0648\u0631\u064a \u0648\u062d\u0633\u0627\u0633\u064b\u0627 \u0644\u0644\u0634\u0631\u0648\u0637 \u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629. \u0648\u0642\u062f \u0628\u062f\u0623\u062a \u062c\u0630\u0648\u0631\u0647\u0627 \u0627\u0644\u062d\u062f\u064a\u062b\u0629 \u0645\u0639 \u062f\u0631\u0627\u0633\u0629 \u0628\u0648\u0627\u0646\u0643\u0627\u0631\u064a\u0647 \u0644\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a\u0629 \u0648\u0627\u0644\u0645\u064a\u0643\u0627\u0646\u064a\u0643\u0627 \u0627\u0644\u0633\u0645\u0627\u0648\u064a\u0629\u060c \u062b\u0645 \u0627\u0643\u062a\u0633\u0628\u062a \u0635\u0648\u0631\u062a\u0647\u0627 \u0627\u0644\u0645\u0639\u0627\u0635\u0631\u0629 \u0628\u0635\u0648\u0631\u0629 \u0628\u0627\u0631\u0632\u0629 \u0645\u0646 \u062e\u0644\u0627\u0644 \u0623\u0639\u0645\u0627\u0644 \u0625\u062f\u0648\u0627\u0631\u062f \u0644\u0648\u0631\u0646\u0632 \u0641\u064a \u0627\u0644\u0633\u062a\u064a\u0646\u064a\u0627\u062a\u060c \u0648\u062e\u0627\u0635\u0629 \u0628\u062d\u062b\u0647 \u0627\u0644\u0645\u0646\u0634\u0648\u0631 \u0633\u0646\u0629 1963 \u062d\u0648\u0644 \u0627\u0644\u062a\u062f\u0641\u0642 \u0627\u0644\u062d\u062a\u0645\u064a \u063a\u064a\u0631 \u0627\u0644\u062f\u0648\u0631\u064a. <sup class=\"ref\"><a href=\"https:\/\/journals.ametsoc.org\/view\/journals\/atsc\/20\/2\/1520-0469_1963_020_0130_dnf_2_0_co_2.xml\" title=\"10|Deterministic Nonperiodic Flow|Edward N. Lorenz|1963\" target=\"_blank\" rel=\"noopener\">[10]<\/a><\/sup><\/p>\n<p>\u0648\u062a\u062a\u0645\u062b\u0644 \u0623\u0647\u0645\u064a\u062a\u0647\u0627 \u0641\u064a \u0623\u0646\u0647\u0627 \u062a\u0643\u0634\u0641 \u0623\u0646 \u0627\u0644\u062d\u062a\u0645\u064a\u0629 \u0644\u0627 \u062a\u0633\u0627\u0648\u064a \u0642\u0627\u0628\u0644\u064a\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u0627\u0644\u0645\u0637\u0644\u0642\u0629\u060c \u0648\u0623\u0646 \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u062a\u064a \u062a\u062d\u0643\u0645\u0647\u0627 \u0645\u0639\u0627\u062f\u0644\u0627\u062a \u0628\u0633\u064a\u0637\u0629 \u0642\u062f \u062a\u0646\u062a\u062c \u0633\u0644\u0648\u0643\u064b\u0627 \u0628\u0627\u0644\u063a \u0627\u0644\u062a\u0639\u0642\u064a\u062f. \u0648\u0645\u0646 \u062e\u0644\u0627\u0644 \u0645\u0641\u0627\u0647\u064a\u0645 \u0645\u062b\u0644 \u0627\u0644\u062d\u0633\u0627\u0633\u064a\u0629 \u0644\u0644\u0634\u0631\u0648\u0637 \u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629\u060c \u0648\u0627\u0644\u0623\u0633\u0633 \u0627\u0644\u0644\u064a\u0627\u0628\u0648\u0646\u0648\u0641\u064a\u0629\u060c \u0648\u0627\u0644\u062c\u0627\u0630\u0628\u0627\u062a \u0627\u0644\u0641\u0648\u0636\u0648\u064a\u0629\u060c \u0648\u0627\u0644\u062a\u0634\u0639\u0628\u0627\u062a\u060c \u0648\u0627\u0644\u0641\u0636\u0627\u0621 \u0627\u0644\u0637\u0648\u0631\u064a\u060c \u0623\u0635\u0628\u062d \u0628\u0627\u0644\u0625\u0645\u0643\u0627\u0646 \u062f\u0631\u0627\u0633\u0629 \u0647\u0630\u0627 \u0627\u0644\u062a\u0639\u0642\u064a\u062f \u0628\u0635\u0648\u0631\u0629 \u0631\u064a\u0627\u0636\u064a\u0629 \u062f\u0642\u064a\u0642\u0629. \u0648\u0644\u0630\u0644\u0643 \u062a\u0639\u062f \u0646\u0638\u0631\u064a\u0629 \u0627\u0644\u0641\u0648\u0636\u0649 \u0648\u0627\u062d\u062f\u0629 \u0645\u0646 \u0623\u0647\u0645 \u0627\u0644\u062b\u0648\u0631\u0627\u062a \u0627\u0644\u0641\u0643\u0631\u064a\u0629 \u0641\u064a \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0648\u0627\u0644\u0639\u0644\u0648\u0645 \u0627\u0644\u062d\u062f\u064a\u062b\u0629\u060c \u0644\u0623\u0646\u0647\u0627 \u0646\u0642\u0644\u062a \u0645\u0641\u0647\u0648\u0645 \u0627\u0644\u0646\u0638\u0627\u0645 \u0645\u0646 \u0643\u0648\u0646\u0647 \u0645\u0631\u0627\u062f\u0641\u064b\u0627 \u0644\u0644\u062a\u0646\u0628\u0624 \u0627\u0644\u0628\u0633\u064a\u0637 \u0625\u0644\u0649 \u0645\u0641\u0647\u0648\u0645 \u0623\u0639\u0645\u0642 \u064a\u062c\u0645\u0639 \u0628\u064a\u0646 \u0627\u0644\u0642\u0627\u0646\u0648\u0646 \u0648\u0627\u0644\u062d\u0633\u0627\u0633\u064a\u0629 \u0648\u0627\u0644\u062a\u0639\u0642\u064a\u062f.<\/p>\n<h2>\u0645\u0631\u0627\u062c\u0639 \u0623\u0643\u0627\u062f\u064a\u0645\u064a\u0629 \u0645\u062e\u062a\u0627\u0631\u0629<\/h2>\n<p>Lorenz, Edward N., \u00abDeterministic Nonperiodic Flow\u00bb\u060c <em>Journal of the Atmospheric Sciences<\/em>\u060c \u0627\u0644\u0645\u062c\u0644\u062f 20\u060c \u0627\u0644\u0639\u062f\u062f 2\u060c \u0627\u0644\u0635\u0641\u062d\u0627\u062a 130\u2013141\u060c \u0633\u0646\u0629 1963. \u0648\u0647\u0648 \u0627\u0644\u0628\u062d\u062b \u0627\u0644\u062a\u0627\u0631\u064a\u062e\u064a \u0627\u0644\u0630\u064a \u0642\u062f\u0645 \u0646\u0645\u0648\u0630\u062c\u064b\u0627 \u0645\u0628\u0633\u0637\u064b\u0627 \u0644\u0644\u0633\u0644\u0648\u0643 \u063a\u064a\u0631 \u0627\u0644\u062f\u0648\u0631\u064a \u0627\u0644\u062d\u0633\u0627\u0633 \u0644\u0644\u0634\u0631\u0648\u0637 \u0627\u0644\u0627\u0628\u062a\u062f\u0627\u0626\u064a\u0629 \u0648\u0631\u0628\u0637 \u0630\u0644\u0643 \u0628\u0642\u0627\u0628\u0644\u064a\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u0627\u0644\u062c\u0648\u064a. <sup class=\"ref\"><a href=\"https:\/\/journals.ametsoc.org\/view\/journals\/atsc\/20\/2\/1520-0469_1963_020_0130_dnf_2_0_co_2.xml\" title=\"11|Deterministic Nonperiodic Flow|Edward N. Lorenz|1963\" target=\"_blank\" rel=\"noopener\">[11]<\/a><\/sup><\/p>\n<p>Poincar\u00e9, Henri\u060c \u0623\u0639\u0645\u0627\u0644\u0647 \u0641\u064a \u0627\u0644\u0645\u064a\u0643\u0627\u0646\u064a\u0643\u0627 \u0627\u0644\u0633\u0645\u0627\u0648\u064a\u0629 \u0648\u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a\u0629\u060c \u0627\u0644\u062a\u064a \u0623\u0633\u0647\u0645\u062a \u0641\u064a \u062a\u0623\u0633\u064a\u0633 \u062f\u0631\u0627\u0633\u0629 \u0627\u0644\u0628\u0646\u064a\u0629 \u0627\u0644\u0646\u0648\u0639\u064a\u0629 \u0644\u0644\u062d\u0631\u0643\u0629 \u0648\u0627\u0644\u0627\u0633\u062a\u0642\u0631\u0627\u0631 \u0648\u0627\u0644\u062a\u0643\u0631\u0627\u0631. <sup class=\"ref\"><a href=\"https:\/\/mathshistory.st-andrews.ac.uk\/DSB\/Poincare.pdf\" title=\"12|Henri Poincar\u00e9 and celestial mechanics|Dictionary of Scientific Biography|2026\" target=\"_blank\" rel=\"noopener\">[12]<\/a><\/sup><\/p>\n<p>Devaney, Robert L.\u060c \u0627\u0644\u0623\u0639\u0645\u0627\u0644 \u0627\u0644\u0645\u0631\u062c\u0639\u064a\u0629 \u0641\u064a \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u062f\u064a\u0646\u0627\u0645\u064a\u0643\u064a\u0629 \u0648\u0627\u0644\u0641\u0648\u0636\u0649\u060c \u0627\u0644\u062a\u064a \u0631\u0633\u062e\u062a \u062a\u0639\u0631\u064a\u0641\u0627\u062a \u0637\u0648\u0628\u0648\u0644\u0648\u062c\u064a\u0629 \u0645\u0647\u0645\u0629 \u0644\u0644\u0633\u0644\u0648\u0643 \u0627\u0644\u0641\u0648\u0636\u0648\u064a. <sup class=\"ref\"><a href=\"https:\/\/www.ams.org\/bookstore\/pspdf\/amstext-44-prev.pdf\" title=\"13|Real Numbers and Dynamical Systems|Robert L. Devaney and related mathematical treatment|2026\" target=\"_blank\" rel=\"noopener\">[13]<\/a><\/sup><\/p>\n<p>\u0627\u0644\u0645\u0631\u0627\u062c\u0639 \u0627\u0644\u062d\u062f\u064a\u062b\u0629 \u0641\u064a \u0639\u0644\u0645 \u0627\u0644\u0623\u0631\u0635\u0627\u062f \u0627\u0644\u062c\u0648\u064a\u0629 \u0648\u062f\u064a\u0646\u0627\u0645\u064a\u0627\u062a \u0627\u0644\u063a\u0644\u0627\u0641 \u0627\u0644\u062c\u0648\u064a \u062a\u0648\u0627\u0635\u0644 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0639\u0645\u0644 \u0644\u0648\u0631\u0646\u0632 \u0628\u0648\u0635\u0641\u0647 \u0623\u0633\u0627\u0633\u064b\u0627 \u062a\u0627\u0631\u064a\u062e\u064a\u064b\u0627 \u0644\u062f\u0631\u0627\u0633\u0629 \u0642\u0627\u0628\u0644\u064a\u0629 \u0627\u0644\u062a\u0646\u0628\u0624 \u0628\u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u062c\u0648\u064a\u0629 \u0627\u0644\u0641\u0648\u0636\u0648\u064a\u0629. <sup class=\"ref\"><a href=\"https:\/\/journals.ametsoc.org\/view\/journals\/atsc\/76\/4\/jas-d-18-0269.1.xml\" title=\"14|What Is the Predictability Limit of Midlatitude Weather?|Journal of the Atmospheric Sciences|2019\" target=\"_blank\" rel=\"noopener\">[14]<\/a><\/sup><\/p>\n<\/article>\n","protected":false},"excerpt":{"rendered":"<p>\u062f\u064a\u0646\u0627\u0645\u064a\u0627\u062a \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0634\u062f\u064a\u062f\u0629 \u0627\u0644\u062d\u0633\u0627\u0633\u064a\u0629<\/p>\n","protected":false},"author":1,"featured_media":4549,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[23],"tags":[],"class_list":["post-4550","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-basic-sciences"],"_links":{"self":[{"href":"https:\/\/cosmalore.com\/ar\/wp-json\/wp\/v2\/posts\/4550","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/cosmalore.com\/ar\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/cosmalore.com\/ar\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/cosmalore.com\/ar\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/cosmalore.com\/ar\/wp-json\/wp\/v2\/comments?post=4550"}],"version-history":[{"count":2,"href":"https:\/\/cosmalore.com\/ar\/wp-json\/wp\/v2\/posts\/4550\/revisions"}],"predecessor-version":[{"id":4609,"href":"https:\/\/cosmalore.com\/ar\/wp-json\/wp\/v2\/posts\/4550\/revisions\/4609"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/cosmalore.com\/ar\/wp-json\/wp\/v2\/media\/4549"}],"wp:attachment":[{"href":"https:\/\/cosmalore.com\/ar\/wp-json\/wp\/v2\/media?parent=4550"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/cosmalore.com\/ar\/wp-json\/wp\/v2\/categories?post=4550"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/cosmalore.com\/ar\/wp-json\/wp\/v2\/tags?post=4550"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}