{"id":3760,"date":"2014-12-03T17:12:21","date_gmt":"2014-12-03T13:12:21","guid":{"rendered":"http:\/\/www.imm.az\/exp\/?p=3760"},"modified":"2014-12-24T10:13:35","modified_gmt":"2014-12-24T06:13:35","slug":"guclu-son%c9%99n-dalga-t%c9%99nlikl%c9%99ri-il%c9%99-yaranmis-dinamik-sisteml%c9%99rin-sonlu-olculu-asimptotik-davranisi-movzusunda-umuminstitut-seminari-kecirilib","status":"publish","type":"post","link":"https:\/\/www.imm.az\/exp\/2014\/12\/03\/guclu-son%c9%99n-dalga-t%c9%99nlikl%c9%99ri-il%c9%99-yaranmis-dinamik-sisteml%c9%99rin-sonlu-olculu-asimptotik-davranisi-movzusunda-umuminstitut-seminari-kecirilib\/","title":{"rendered":"\u201cG\u00fccl\u00fc s\u00f6n\u0259n dal\u011fa t\u0259nlikl\u0259ri il\u0259 yaranm\u0131\u015f dinamik sisteml\u0259rin sonlu \u00f6l\u00e7\u00fcl\u00fc asimptotik davran\u0131\u015f\u0131\u201d m\u00f6vzusunda \u00dcmuminstitut seminar\u0131 ke\u00e7irilib"},"content":{"rendered":"<p style=\"text-align: justify;\">Dekabr\u0131n 3-d\u0259 AMEA Riyaziyyat v\u0259 Mexanika \u0130nstitutunun \u00dcmuminstitut seminar\u0131nda T\u00fcrkiy\u0259 C\u00fcmhuriyy\u0259ti, Ko\u00e7 Universitetinin Riyaziyyat b\u00f6l\u00fcm\u00fcn\u00fcn professoru V\u0259rqa K\u0259l\u0259nt\u0259rov\u00a0\u201cG\u00fccl\u00fc s\u00f6n\u0259n dal\u011fa t\u0259nlikl\u0259ri il\u0259 yaranm\u0131\u015f dinamik sisteml\u0259rin sonlu \u00f6l\u00e7\u00fcl\u00fc asimptotik davran\u0131\u015f\u0131\u201d \u00a0m\u00f6vzusunda m\u0259ruz\u0259 edib.<\/p>\n<p style=\"text-align: justify;\">M\u0259ruz\u0259d\u0259<\/p>\n<p style=\"text-align: center;\"><em>u<sub>tt\u00a0<\/sub>+ f(u)u<sub>t\u00a0<\/sub>&#8211; b<\/em><em>\u0394<\/em><em>u<sub>t<\/sub><\/em><em>\u00a0<\/em><em>&#8211;\u00a0<\/em><em>\u0394<\/em><em>u + g(u) = h, \u00a0 \u00a0 \u00a0x\u00a0<\/em>\u2208\u03a9, \u00a0 \u00a0\u00a0<em>t &gt; 0<\/em><strong><em>\u00a0<\/em><\/strong><strong><em>\u00a0<\/em><\/strong><strong><em>\u00a0<\/em><\/strong><em>(1)<\/em><\/p>\n<p style=\"text-align: justify;\">\u015f\u0259klind\u0259 olan qeyri-x\u0259tti g\u00fccl\u00fc s\u00f6nm\u00fc\u015f dal\u011fa t\u0259nliyi \u00fc\u00e7\u00fcn ba\u015flan\u011f\u0131c s\u0259rh\u0259d m\u0259s\u0259l\u0259l\u0259ri vasit\u0259si il\u0259 yarad\u0131lm\u0131\u015f dinamik sisteml\u0259rin sonlu \u00f6l\u00e7\u00fcl\u00fc asimptotik davran\u0131\u015f\u0131 (zamana g\u00f6r\u0259) m\u0259s\u0259l\u0259sin\u0259 bax\u0131l\u0131r.<\/p>\n<p style=\"text-align: justify;\">Burada\u00a0\u03a9\u2282 R<sup>3<\/sup>\u00a0hamar s\u0259rh\u0259d\u0259 malik m\u0259hdud sah\u0259,\u00a0<em>b\u00a0<\/em>&gt; 0\u00a0verilmi\u015f parametr,\u00a0<em>h, f (\u2022), g\u00a0(\u2022)\u00a0<\/em>verilmi\u015f funksiyalard\u0131r.<\/p>\n<p style=\"text-align: justify;\">G\u00f6st\u0259rilib ki, qeyri-x\u0259tti\u00a0<em>f(u)<\/em>\u00a0v\u0259\u00a0<em>g(u)\u00a0<\/em>h\u0259dl\u0259ri \u00fcz\u0259rind\u0259 standart hamarl\u0131q v\u0259 dissipativlik m\u0259hdudiyy\u0259tl\u0259rind\u0259 (1) t\u0259nliyi \u00fc\u00e7\u00fcn Dirixle s\u0259rh\u0259d \u015f\u0259rti alt\u0131nda ba\u015flan\u011f\u0131c s\u0259rh\u0259d m\u0259s\u0259l\u0259si kifay\u0259t q\u0259d\u0259r m\u00fcnt\u0259z\u0259m h\u0259ll\u0259r sinfind\u0259 b\u00fct\u00f6vl\u00fckd\u0259 d\u00fczg\u00fcn qoyulmu\u015fdur.<\/p>\n<p style=\"text-align: justify;\">G\u00f6st\u0259rilib ki, (1) t\u0259nliyi \u00fc\u00e7\u00fcn ba\u015flan\u011f\u0131c s\u0259rh\u0259d m\u0259s\u0259l\u0259si il\u0259 yarad\u0131lm\u0131\u015f yar\u0131qrup uy\u011fun faza f\u0259zas\u0131nda qlobal attraktora malikdir.\u00a0<em>f(u)<\/em>\u00a0= 0\u00a0olduqda (1) t\u0259nliyi \u00fc\u00e7\u00fcn ba\u015flan\u011f\u0131c s\u0259rh\u0259d m\u0259s\u0259l\u0259sinin h\u0259ll\u0259rinin asimptotik davran\u0131\u015f\u0131 (zamana g\u00f6r\u0259) sonlu sayda Furye formalar\u0131 il\u0259 m\u00fc\u0259yy\u0259n edilir.<\/p>\n<p style=\"text-align: justify;\">Bu n\u0259tic\u0259l\u0259r ixtiyari polinomial art\u0131ma malik\u00a0\u00a0<em>f(u)<\/em>\u00a0v\u0259\u00a0<em>g(u)\u00a0<\/em>qeyri-x\u0259tlilikl\u0259ri \u00fc\u00e7\u00fcn v\u0259 bax\u0131lan m\u0259s\u0259l\u0259nin qlobal Lyapunov funksiyas\u0131na malik olmas\u0131 \u015f\u0259rti olmadan al\u0131nm\u0131\u015fd\u0131r.<\/p>\n<div class='entry-gallery'><div id=\"carousel-1\" class=\"single-carousel carousel slide carousel-3760\" data-ride=\"carousel\"><ol class='carousel-indicators'><li data-target=\"#carousel-1\" data-slide-to=\"0\" class=\"active\"><\/li><li data-target=\"#carousel-1\" data-slide-to=\"1\" class=\"\"><\/li><li data-target=\"#carousel-1\" data-slide-to=\"2\" class=\"\"><\/li><li data-target=\"#carousel-1\" data-slide-to=\"3\" class=\"\"><\/li><li data-target=\"#carousel-1\" data-slide-to=\"4\" class=\"\"><\/li><\/ol><div class='carousel-inner'><div class=\"carousel-item item active\"><a 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M\u0259ruz\u0259d\u0259 utt\u00a0+ f(u)ut\u00a0&#8211; b\u0394ut\u00a0&#8211;\u00a0\u0394u + g(u) = h, \u00a0 \u00a0 \u00a0x\u00a0\u2208\u03a9, \u00a0 \u00a0\u00a0t &gt; 0\u00a0\u00a0\u00a0(1) \u015f\u0259klind\u0259 olan qeyri-x\u0259tti g\u00fccl\u00fc s\u00f6nm\u00fc\u015f dal\u011fa t\u0259nliyi \u00fc\u00e7\u00fcn [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[75,77],"tags":[],"_links":{"self":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/3760"}],"collection":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/comments?post=3760"}],"version-history":[{"count":2,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/3760\/revisions"}],"predecessor-version":[{"id":4012,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/3760\/revisions\/4012"}],"wp:attachment":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/media?parent=3760"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/categories?post=3760"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/tags?post=3760"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}