{"id":26518,"date":"2024-02-26T03:13:32","date_gmt":"2024-02-26T04:13:32","guid":{"rendered":"https:\/\/express24.ir\/d\/product\/%d9%85%d9%82%d8%a7%d9%84%d9%87-%db%8c%da%a9-%d8%b7%d8%b1%d8%ad-%d8%ac%d9%81%d8%aa-%d8%a7%d8%b1%d8%a8%d8%a7%d8%a8-%d8%a8%d8%b1%d8%af%d9%87-%d8%a8%d8%b1%d8%a7%db%8c-%d9%87%d9%85%da%af%d8%a7%d9%85-%d8%b3\/"},"modified":"2024-02-26T03:13:32","modified_gmt":"2024-02-26T04:13:32","slug":"%d9%85%d9%82%d8%a7%d9%84%d9%87-%db%8c%da%a9-%d8%b7%d8%b1%d8%ad-%d8%ac%d9%81%d8%aa-%d8%a7%d8%b1%d8%a8%d8%a7%d8%a8-%d8%a8%d8%b1%d8%af%d9%87-%d8%a8%d8%b1%d8%a7%db%8c-%d9%87%d9%85%da%af%d8%a7%d9%85-%d8%b3","status":"publish","type":"product","link":"https:\/\/express24.ir\/d\/product\/%d9%85%d9%82%d8%a7%d9%84%d9%87-%db%8c%da%a9-%d8%b7%d8%b1%d8%ad-%d8%ac%d9%81%d8%aa-%d8%a7%d8%b1%d8%a8%d8%a7%d8%a8-%d8%a8%d8%b1%d8%af%d9%87-%d8%a8%d8%b1%d8%a7%db%8c-%d9%87%d9%85%da%af%d8%a7%d9%85-%d8%b3\/","title":{"rendered":"\u0645\u0642\u0627\u0644\u0647 \u06cc\u06a9 \u0637\u0631\u062d \u062c\u0641\u062a \u0627\u0631\u0628\u0627\u0628-\u0628\u0631\u062f\u0647 \u0628\u0631\u0627\u06cc \u0647\u0645\u06af\u0627\u0645 \u0633\u0627\u0632\u06cc \u0648 \u062a\u062e\u0645\u06cc\u0646 \u067e\u0627\u0631\u0627\u0645\u062a\u0631 \u062f\u0631 \u0645\u0639\u0627\u062f\u0644\u0647 \u062a\u0639\u0645\u06cc\u0645 \u06cc\u0627\u0641\u062a\u0647 \u06a9\u0648\u0631\u0627\u0645\u0648\u062a\u0648-\u0633\u06cc\u0648\u0627\u0634\u06cc\u0646\u0633\u06a9\u06cc"},"content":{"rendered":"<table class=\"table table-striped table-hover\">\n<tbody>\n<tr>\n<td>\u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc <\/td>\n<td>A master-slave coupling scheme for synchronization and parameter estimation in the generalized Kuramoto-Sivashinsky equation<\/td>\n<\/tr>\n<tr>\n<td>\u0639\u0646\u0648\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc <\/td>\n<td>\u0645\u0642\u0627\u0644\u0647 \u06cc\u06a9 \u0637\u0631\u062d \u062c\u0641\u062a \u0627\u0631\u0628\u0627\u0628-\u0628\u0631\u062f\u0647 \u0628\u0631\u0627\u06cc \u0647\u0645\u06af\u0627\u0645 \u0633\u0627\u0632\u06cc \u0648 \u062a\u062e\u0645\u06cc\u0646 \u067e\u0627\u0631\u0627\u0645\u062a\u0631 \u062f\u0631 \u0645\u0639\u0627\u062f\u0644\u0647 \u062a\u0639\u0645\u06cc\u0645 \u06cc\u0627\u0641\u062a\u0647 \u06a9\u0648\u0631\u0627\u0645\u0648\u062a\u0648-\u0633\u06cc\u0648\u0627\u0634\u06cc\u0646\u0633\u06a9\u06cc<\/td>\n<\/tr>\n<tr>\n<td>\u0646\u0648\u06cc\u0633\u0646\u062f\u06af\u0627\u0646 <\/td>\n<td>Joaquin Miguez, Harold Molina-Bulla, In\u00e9s P. Mari\u00f1o<\/td>\n<\/tr>\n<tr>\n<td>\u0632\u0628\u0627\u0646 \u0645\u0642\u0627\u0644\u0647 <\/td>\n<td>\u0627\u0646\u06af\u0644\u06cc\u0633\u06cc<\/td>\n<\/tr>\n<tr>\n<td>\u0641\u0631\u0645\u062a \u0645\u0642\u0627\u0644\u0647: <\/td>\n<td>PDF<\/td>\n<\/tr>\n<tr>\n<td>\u062a\u0639\u062f\u0627\u062f \u0635\u0641\u062d\u0627\u062a<\/td>\n<td>10<\/td>\n<\/tr>\n<tr>\n<td>\u062f\u0633\u062a\u0647 \u0628\u0646\u062f\u06cc \u0645\u0648\u0636\u0648\u0639\u0627\u062a  <\/td>\n<td>Mathematical Physics,Dynamical Systems,\u0641\u06cc\u0632\u06cc\u06a9 \u0631\u06cc\u0627\u0636\u06cc , \u0633\u06cc\u0633\u062a\u0645 \u0647\u0627\u06cc \u062f\u06cc\u0646\u0627\u0645\u06cc\u06a9\u06cc ,<\/td>\n<\/tr>\n<tr>\n<td>\u062a\u0648\u0636\u06cc\u062d\u0627\u062a    <\/td>\n<td>Submitted 23 November, 2023; originally announced November 2023. , MSC Class: 35A24; 35R30; 34H10; 34D06<\/td>\n<\/tr>\n<tr>\n<td>\u062a\u0648\u0636\u06cc\u062d\u0627\u062a \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc    <\/td>\n<td>\u0627\u0631\u0633\u0627\u0644 \u0634\u062f\u0647 23 \u0646\u0648\u0627\u0645\u0628\u0631 2023 \u061b\u062f\u0631 \u0627\u0628\u062a\u062f\u0627 \u0646\u0648\u0627\u0645\u0628\u0631 2023 \u0627\u0639\u0644\u0627\u0645 \u0634\u062f \u060c \u06a9\u0644\u0627\u0633 MSC: 35A24 \u061b35R30 \u061b34H10 \u061b34d06<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>\u0686\u06a9\u06cc\u062f\u0647<\/h2>\n<p style=\"direction:ltr;\">The problem of estimating the constant parameters of the Kuramoto-Sivashinsky (KS) equation has received considerable attention from researchers in physics, applied mathematics and statistics. This is motivated by the various physical applications of the equation and, also, because it often serves as a test model for the study of space-time pattern formation. Remarkably, most existing inference techniques rely on statistical or machine learning tools, which are computationally very costly yet do not exploit the dynamical features of the system. In this paper we introduce a simple, online parameter estimation method that relies on the synchronization properties of the KS equation. In particular, we describe a master-slave setup where the slave model is driven by observations from the master system. The slave dynamics are designed to synchronize with the master when both models have the same parameters. We provide a simple analysis that supports the proposed approach and also present and discuss the results of an extensive numerical assessment of the methodology. The numerical study shows that the proposed method is computationally fast and also robust to initialization errors, observational noise and variations in the spatial resolution of the numerical scheme.<\/p>\n<h2>\u0686\u06a9\u06cc\u062f\u0647 \u0628\u0647 \u0641\u0627\u0631\u0633\u06cc (\u062a\u0631\u062c\u0645\u0647 \u0645\u0627\u0634\u06cc\u0646\u06cc)<\/h2>\n<p>\u0645\u0634\u06a9\u0644 \u062a\u062e\u0645\u06cc\u0646 \u067e\u0627\u0631\u0627\u0645\u062a\u0631\u0647\u0627\u06cc \u062b\u0627\u0628\u062a \u0645\u0639\u0627\u062f\u0644\u0647 Kuramoto-Sivashinsky (KS) \u0645\u0648\u0631\u062f \u062a\u0648\u062c\u0647 \u0645\u062d\u0642\u0642\u0627\u0646 \u062f\u0631 \u0641\u06cc\u0632\u06cc\u06a9 \u060c \u0631\u06cc\u0627\u0636\u06cc\u0627\u062a \u06a9\u0627\u0631\u0628\u0631\u062f\u06cc \u0648 \u0622\u0645\u0627\u0631 \u0642\u0631\u0627\u0631 \u06af\u0631\u0641\u062a\u0647 \u0627\u0633\u062a.\u0627\u06cc\u0646 \u0627\u0645\u0631 \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 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\u06cc\u0627\u062f\u06af\u06cc\u0631\u06cc \u0645\u0627\u0634\u06cc\u0646 \u0645\u062a\u06a9\u06cc \u0647\u0633\u062a\u0646\u062f \u060c \u06a9\u0647 \u0627\u0632 \u0646\u0638\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0628\u0633\u06cc\u0627\u0631 \u067e\u0631\u0647\u0632\u06cc\u0646\u0647 \u0647\u0633\u062a\u0646\u062f \u0627\u0645\u0627 \u0627\u0632 \u0648\u06cc\u0698\u06af\u06cc \u0647\u0627\u06cc \u062f\u06cc\u0646\u0627\u0645\u06cc\u06a9\u06cc \u0633\u06cc\u0633\u062a\u0645 \u0633\u0648\u0621 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0646\u0645\u06cc \u06a9\u0646\u0646\u062f.\u062f\u0631 \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u0645\u0627 \u06cc\u06a9 \u0631\u0648\u0634 \u062a\u062e\u0645\u06cc\u0646 \u067e\u0627\u0631\u0627\u0645\u062a\u0631 \u0622\u0646\u0644\u0627\u06cc\u0646 \u0633\u0627\u062f\u0647 \u0631\u0627 \u0645\u0639\u0631\u0641\u06cc \u0645\u06cc \u06a9\u0646\u06cc\u0645 \u06a9\u0647 \u0628\u0647 \u062e\u0635\u0648\u0635\u06cc\u0627\u062a \u0647\u0645\u06af\u0627\u0645 \u0633\u0627\u0632\u06cc \u0645\u0639\u0627\u062f\u0644\u0647 KS \u0645\u062a\u06a9\u06cc \u0627\u0633\u062a.\u0628\u0647 \u0637\u0648\u0631 \u062e\u0627\u0635 \u060c \u0645\u0627 \u06cc\u06a9 \u0645\u062c\u0645\u0648\u0639\u0647 \u06a9\u0627\u0631\u0634\u0646\u0627\u0633\u06cc \u0627\u0631\u0634\u062f \u0628\u0631\u062f\u0647 \u0631\u0627 \u062a\u0648\u0635\u06cc\u0641 \u0645\u06cc \u06a9\u0646\u06cc\u0645 \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u0645\u062f\u0644 \u0628\u0631\u062f\u0647 \u062a\u0648\u0633\u0637 \u0645\u0634\u0627\u0647\u062f\u0627\u062a \u0633\u06cc\u0633\u062a\u0645 \u0627\u0635\u0644\u06cc \u0647\u062f\u0627\u06cc\u062a \u0645\u06cc \u0634\u0648\u062f.Dynamics Slave \u0628\u0631\u0627\u06cc \u0647\u0645\u06af\u0627\u0645 \u0633\u0627\u0632\u06cc \u0628\u0627 \u0627\u0633\u062a\u0627\u062f \u0637\u0631\u0627\u062d\u06cc \u0634\u062f\u0647 \u0627\u0633\u062a \u06a9\u0647 \u0647\u0631 \u062f\u0648 \u0645\u062f\u0644 \u067e\u0627\u0631\u0627\u0645\u062a\u0631\u0647\u0627\u06cc \u06cc\u06a9\u0633\u0627\u0646\u06cc \u062f\u0627\u0631\u0646\u062f.\u0645\u0627 \u06cc\u06a9 \u062a\u062c\u0632\u06cc\u0647 \u0648 \u062a\u062d\u0644\u06cc\u0644 \u0633\u0627\u062f\u0647 \u0627\u0631\u0627\u0626\u0647 \u0645\u06cc \u062f\u0647\u06cc\u0645 \u06a9\u0647 \u0627\u0632 \u0631\u0648\u06cc\u06a9\u0631\u062f \u067e\u06cc\u0634\u0646\u0647\u0627\u062f\u06cc \u067e\u0634\u062a\u06cc\u0628\u0627\u0646\u06cc \u0645\u06cc \u06a9\u0646\u062f \u0648 \u0647\u0645\u0686\u0646\u06cc\u0646 \u0646\u062a\u0627\u06cc\u062c \u0627\u0631\u0632\u06cc\u0627\u0628\u06cc \u0639\u062f\u062f\u06cc \u06af\u0633\u062a\u0631\u062f\u0647 \u0627\u06cc \u0627\u0632 \u0631\u0648\u0634 \u0631\u0627 \u0627\u0631\u0627\u0626\u0647 \u0648 \u0628\u062d\u062b \u0645\u06cc \u06a9\u0646\u062f.\u0645\u0637\u0627\u0644\u0639\u0647 \u0639\u062f\u062f\u06cc \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f \u06a9\u0647 \u0631\u0648\u0634 \u067e\u06cc\u0634\u0646\u0647\u0627\u062f\u06cc \u0627\u0632 \u0646\u0638\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0633\u0631\u06cc\u0639 \u0648 \u0647\u0645\u0686\u0646\u06cc\u0646 \u0628\u0631\u0627\u06cc \u062e\u0637\u0627\u0647\u0627\u06cc \u0627\u0648\u0644\u06cc\u0647 \u0633\u0627\u0632\u06cc \u060c \u0646\u0648\u06cc\u0632 \u0645\u0634\u0627\u0647\u062f\u0647 \u0627\u06cc \u0648 \u062a\u063a\u06cc\u06cc\u0631\u0627\u062a \u062f\u0631 \u0648\u0636\u0648\u062d \u0645\u06a9\u0627\u0646\u06cc \u0637\u0631\u062d \u0639\u062f\u062f\u06cc \u0642\u0648\u06cc \u0627\u0633\u062a.<\/p>\n<table class=\"table table-bordered table-primary\">\r\n<tr>\r\n\t<td>\r\n\t\u062a\u0648\u062c\u0647 \u06a9\u0646\u06cc\u062f \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u0628\u0647 \u0632\u0628\u0627\u0646 \u0627\u0646\u06af\u0644\u06cc\u0633\u06cc \u0627\u0633\u062a.\r\n\t<\/td>\r\n<\/tr>\r\n\t\r\n<tr>\r\n\t<td>\r\n     \u0628\u0631\u0627\u06cc \u0633\u0641\u0627\u0631\u0634 \u062a\u0631\u062c\u0645\u0647 \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0628\u0647 \u06cc\u06a9\u06cc \u0627\u0632 \u0631\u0648\u0634 \u0647\u0627\u06cc \u062a\u0645\u0627\u0633\u060c \u067e\u06cc\u0627\u0645\u06a9\u060c \u062a\u0644\u06af\u0631\u0627\u0645 \u0648 \u06cc\u0627 \u0648\u0627\u062a\u0633 \u0627\u067e \u0628\u0627 \u0634\u0645\u0627\u0631\u0647 \u0632\u06cc\u0631 \u062a\u0645\u0627\u0633 \u0628\u06af\u06cc\u0631\u06cc\u062f:\r\n\t<br \/><br \/>\r\n\t09395106248\r\n\t\t\r\n\t\t\r\n\t<br \/><br \/>\r\n\t\t\u062a\u0648\u062c\u0647 \u06a9\u0646\u06cc\u062f \u06a9\u0647 \u0634\u0631\u0627\u06cc\u0637 \u062a\u0631\u062c\u0645\u0647 \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u0627\u0633\u062a:\r\n\t\t<br \/>\r\n\t\t<ul>\r\n\t\t<li>\r\n\t\t\u0642\u06cc\u0645\u062a \u0647\u0631 \u0635\u0641\u062d\u0647 \u062a\u0631\u062c\u0645\u0647 \u062f\u0631 \u062d\u0627\u0644 \u062d\u0627\u0636\u0631 40 \u0647\u0632\u0627\u0631 \u062a\u0648\u0645\u0627\u0646 \u0645\u06cc \u0628\u0627\u0634\u062f. \r\n\t\t<\/li>\r\n\t\t<li>\r\n\t\t\u062a\u062d\u0648\u06cc\u0644 \u0645\u0642\u0627\u0644\u0647 \u062a\u0631\u062c\u0645\u0647 \u0634\u062f\u0647 \u0628\u0647 \u0635\u0648\u0631\u062a \u0641\u0627\u06cc\u0644 \u0648\u0631\u062f \u0645\u06cc \u0628\u0627\u0634\u062f.\r\n\t\t<\/li>\r\n\t\t<li>\r\n\t\t\u0632\u0645\u0627\u0646 \u062a\u062d\u0648\u06cc\u0644 \u062a\u0631\u062c\u0645\u0647 \u0645\u0642\u0627\u0644\u0647 \u062f\u0631 \u0635\u0648\u0631\u062a \u062f\u0627\u0634\u062a\u0646 \u062a\u0639\u062f\u0627\u062f \u0635\u0641\u062d\u0627\u062a \u0639\u0627\u062f\u06cc \u0628\u06cc\u0646 3 \u062a\u0627 5 \u0631\u0648\u0632 \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f.\r\n\t\t<\/li>\r\n\t\t\r\n\t\t<li>\r\n\t\t\u06a9\u06cc\u0641\u06cc\u062a \u062a\u0631\u062c\u0645\u0647 \u0628\u0633\u06cc\u0627\u0631 \u0628\u0627\u0644\u0627 \u0645\u06cc \u0628\u0627\u0634\u062f. 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