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dbr:Epistemic_theory_of_miracles dbo:wikiPageWikiLink dbr:Nonlinear_system .
@prefix rdf: .
@prefix owl: .
dbr:Nonlinear_system rdf:type owl:Thing .
@prefix rdfs: .
dbr:Nonlinear_system rdfs:label "Nichtlineares System"@de ,
"Drgania nieliniowe"@pl ,
"\uBE44\uC120\uD615\uACC4"@ko ,
"Sistema no lineal"@es ,
"\u975E\u7DDA\u5F62\u30B7\u30B9\u30C6\u30E0\u8AD6"@ja ,
"Sistema ez lineal"@eu ,
"\u041D\u0435\u043B\u0456\u043D\u0456\u0439\u043D\u0430 \u0441\u0438\u0441\u0442\u0435\u043C\u0430"@uk ,
"Sistema no lineal"@ca ,
"Sistema din\u00E2mico n\u00E3o linear"@pt ,
"Sistem nonlinier"@in ,
"Icke-linj\u00E4r"@sv ,
"Neline\u00E1rn\u00ED syst\u00E9m"@cs ,
"Nonlinear system"@en ,
"\u041D\u0435\u043B\u0438\u043D\u0435\u0439\u043D\u0430\u044F \u0434\u0438\u043D\u0430\u043C\u0438\u043A\u0430"@ru ,
"\u0646\u0638\u0627\u0645 \u0644\u0627\u062E\u0637\u064A"@ar ,
"\u975E\u7DDA\u6027\u7CFB\u7D71"@zh ,
"Sistema non lineare"@it ,
"Niet-lineair systeem"@nl ,
"Syst\u00E8me non lin\u00E9aire"@fr ;
rdfs:comment "\u041D\u0435\u043B\u0456\u043D\u0456\u0439\u043D\u0430 \u0441\u0438\u0441\u0442\u0435\u043C\u0430 \u2014 \u0434\u0438\u043D\u0430\u043C\u0456\u0447\u043D\u0430 \u0441\u0438\u0441\u0442\u0435\u043C\u0430, \u0432 \u044F\u043A\u0456\u0439 \u043F\u0440\u043E\u0442\u0456\u043A\u0430\u044E\u0442\u044C \u043F\u0440\u043E\u0446\u0435\u0441\u0438, \u043E\u043F\u0438\u0441\u0443\u0432\u0430\u043D\u0456 \u043D\u0435\u043B\u0456\u043D\u0456\u0439\u043D\u0438\u043C\u0438 \u0434\u0438\u0444\u0435\u0440\u0435\u043D\u0446\u0456\u0430\u043B\u044C\u043D\u0438\u043C\u0438 \u0440\u0456\u0432\u043D\u044F\u043D\u043D\u044F\u043C\u0438. \u041D\u0435\u043B\u0456\u043D\u0456\u0439\u043D\u0430 \u0434\u0438\u043D\u0430\u043C\u0456\u043A\u0430 \u2014 \u0440\u043E\u0437\u0434\u0456\u043B \u0441\u0443\u0447\u0430\u0441\u043D\u043E\u0457 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u043A\u0438, \u044F\u043A\u0430 \u0437\u0430\u0439\u043C\u0430\u0454\u0442\u044C\u0441\u044F \u0434\u043E\u0441\u043B\u0456\u0434\u0436\u0435\u043D\u043D\u044F\u043C \u043D\u0435\u043B\u0456\u043D\u0456\u0439\u043D\u0438\u0445 \u0434\u0438\u043D\u0430\u043C\u0456\u0447\u043D\u0438\u0445 \u0441\u0438\u0441\u0442\u0435\u043C. \u041F\u0456\u0434 \u0434\u0438\u043D\u0430\u043C\u0456\u0447\u043D\u043E\u044E \u0441\u0438\u0441\u0442\u0435\u043C\u043E\u044E \u0440\u043E\u0437\u0443\u043C\u0456\u044E\u0442\u044C \u0441\u0438\u0441\u0442\u0435\u043C\u0443 \u0431\u0443\u0434\u044C-\u044F\u043A\u043E\u0457 \u043F\u0440\u0438\u0440\u043E\u0434\u0438 (\u0444\u0456\u0437\u0438\u0447\u043D\u0443, \u0445\u0456\u043C\u0456\u0447\u043D\u0443, \u0431\u0456\u043E\u043B\u043E\u0433\u0456\u0447\u043D\u0443, \u0441\u043E\u0446\u0456\u0430\u043B\u044C\u043D\u0443, \u0435\u043A\u043E\u043D\u043E\u043C\u0456\u0447\u043D\u0443 \u0456 \u0442. \u0434.), \u0441\u0442\u0430\u043D \u044F\u043A\u043E\u0457 \u0437\u043C\u0456\u043D\u044E\u0454\u0442\u044C\u0441\u044F (\u0434\u0438\u0441\u043A\u0440\u0435\u0442\u043D\u043E \u0430\u0431\u043E \u043D\u0435\u043F\u0435\u0440\u0435\u0440\u0432\u043D\u043E) \u0432 \u0447\u0430\u0441\u0456. \u041D\u0435\u043B\u0456\u043D\u0456\u0439\u043D\u0430 \u0434\u0438\u043D\u0430\u043C\u0456\u043A\u0430 \u0432\u0438\u043A\u043E\u0440\u0438\u0441\u0442\u043E\u0432\u0443\u0454 \u043F\u0440\u0438 \u0432\u0438\u0432\u0447\u0435\u043D\u043D\u0456 \u0441\u0438\u0441\u0442\u0435\u043C \u043D\u0435\u043B\u0456\u043D\u0456\u0439\u043D\u0456 \u043C\u043E\u0434\u0435\u043B\u0456 \u2014 \u0447\u0430\u0441\u0442\u0456\u0448\u0435 \u0432\u0441\u044C\u043E\u0433\u043E \u0434\u0438\u0444\u0435\u0440\u0435\u043D\u0446\u0456\u0430\u043B\u044C\u043D\u0456 \u0440\u0456\u0432\u043D\u044F\u043D\u043D\u044F \u0456 \u0434\u0438\u0441\u043A\u0440\u0435\u0442\u043D\u0456 \u0432\u0456\u0434\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u043D\u044F."@uk ,
"Drgania nieliniowe \u2013 drgania wykonywane przez uk\u0142ady, w kt\u00F3rych istniej\u0105 si\u0142y nieproporcjonalne do wychylenia z po\u0142o\u017Cenia r\u00F3wnowagi."@pl ,
"En icke-linj\u00E4r funktion eller kurva \u00E4r inom matematik en s\u00E5dan som inte kan dras med linjal i ett vanligt xy-diagram (koordinatsystem), d\u00E4rav namnet. Vissa l\u00E4ror kr\u00E4ver \u00E4ven att den linj\u00E4ra \"kurvan\" skall g\u00E5 genom origo (y = kx) f\u00F6r att f\u00F6rtj\u00E4na namnet linj\u00E4r. Andra n\u00F6jer sig med r\u00E4ta linjens ekvation (y = kx + m). Begreppet icke-linj\u00E4r anv\u00E4nds ofta f\u00F6r elektroniska komponenter som inte uppvisar en str\u00F6m-sp\u00E4nnings karakteristik enligt r\u00E4ta linjens ekvation, till exempel halvledarkomponenter som dioder och transistorer."@sv ,
"Neline\u00E1rn\u00ED syst\u00E9m je v matematice a v\u011Bd\u011B takov\u00FD syst\u00E9m, ve kter\u00E9m zm\u011Bna v\u00FDstupu nen\u00ED proporcion\u00E1ln\u00ED ke zm\u011Bn\u011B na vstupu. O neline\u00E1rn\u00ED syst\u00E9my se zaj\u00EDmaj\u00ED in\u017Een\u00FD\u0159i, biologov\u00E9, fyzici, matematici a dal\u0161\u00ED v\u011Bdci, proto\u017Ee mnoho syst\u00E9m\u016F je z podstaty neline\u00E1rn\u00EDch. Neline\u00E1rn\u00ED dynamick\u00E9 syst\u00E9my popisuj\u00EDc\u00ED zm\u011Bny prom\u011Bnn\u00FDch v \u010Dase se mohou zd\u00E1t chaotick\u00E9, nep\u0159edv\u00EDdateln\u00E9 nebo kontraintuitivn\u00ED, co\u017E je v kontrastu s mnohem jednodu\u0161\u0161\u00EDmi line\u00E1rn\u00EDmi syst\u00E9my."@cs ,
"Niet-lineaire systemen hebben met elkaar gemeenschappelijk dat ze een bepaald kenmerk missen, namelijk lineariteit. Niet-lineaire systemen hebben dus een niet-rechte karakteristiek, bijvoorbeeld: \n* kromme karakteristiek \n* \n* hysterese \n* dode zone Een apart geval is het verschijnsel looptijd, waarbij er een vaste hoeveelheid tijd verstrijkt tussen oorzaak en gevolg."@nl ,
"Um sistema din\u00E2mico n\u00E3o linear \u00E9 um sistema determinista, cujo comportamento futuro \u00E9 previs\u00EDvel segundo a Teoria do Caos, se as condi\u00E7\u00F5es iniciais do sistema forem perfeitamente conhecidas. A alta sensibilidade \u00E0s condi\u00E7\u00F5es inciais, por\u00E9m, d\u00E1 ao sistema n\u00E3o linear a caracter\u00EDstica de instabilidade, o que faz com que seja incorretamente confundido com um sistema aleat\u00F3rio. Enquanto o comportamento futuro do sistema n\u00E3o linear pode ser determinado se as condi\u00E7\u00F5es iniciais forem perfeitamente conhecidas, o mesmo n\u00E3o ocorre com um sistema aleat\u00F3rio. Embora um sistema n\u00E3o linear evolua no tempo com um comportamento inst\u00E1vel e aperi\u00F3dico, tal comportamento \u00E9 determin\u00EDstico, pois seu estado futuro pode ser conhecido, desde que conhecido o seu estado atual. O estado futuro pode, por\u00E9m, ser radica"@pt ,
"\u041D\u0435\u043B\u0438\u043D\u0435\u0439\u043D\u0430\u044F \u0434\u0438\u043D\u0430\u043C\u0438\u043A\u0430 \u2014 \u043C\u0435\u0436\u0434\u0438\u0441\u0446\u0438\u043F\u043B\u0438\u043D\u0430\u0440\u043D\u0430\u044F \u043D\u0430\u0443\u043A\u0430, \u0432 \u043A\u043E\u0442\u043E\u0440\u043E\u0439 \u0438\u0437\u0443\u0447\u0430\u044E\u0442\u0441\u044F \u0441\u0432\u043E\u0439\u0441\u0442\u0432\u0430 \u043D\u0435\u043B\u0438\u043D\u0435\u0439\u043D\u044B\u0445 \u0434\u0438\u043D\u0430\u043C\u0438\u0447\u0435\u0441\u043A\u0438\u0445 \u0441\u0438\u0441\u0442\u0435\u043C. \u041D\u0435\u043B\u0438\u043D\u0435\u0439\u043D\u0430\u044F \u0434\u0438\u043D\u0430\u043C\u0438\u043A\u0430 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u0435\u0442 \u0434\u043B\u044F \u043E\u043F\u0438\u0441\u0430\u043D\u0438\u044F \u0441\u0438\u0441\u0442\u0435\u043C \u043D\u0435\u043B\u0438\u043D\u0435\u0439\u043D\u044B\u0435 \u043C\u043E\u0434\u0435\u043B\u0438, \u043E\u0431\u044B\u0447\u043D\u043E \u043E\u043F\u0438\u0441\u044B\u0432\u0430\u0435\u043C\u044B\u0435 \u0434\u0438\u0444\u0444\u0435\u0440\u0435\u043D\u0446\u0438\u0430\u043B\u044C\u043D\u044B\u043C\u0438 \u0443\u0440\u0430\u0432\u043D\u0435\u043D\u0438\u044F\u043C\u0438 \u0438 \u0434\u0438\u0441\u043A\u0440\u0435\u0442\u043D\u044B\u043C\u0438 \u043E\u0442\u043E\u0431\u0440\u0430\u0436\u0435\u043D\u0438\u044F\u043C\u0438. \u041D\u0435\u043B\u0438\u043D\u0435\u0439\u043D\u0430\u044F \u0434\u0438\u043D\u0430\u043C\u0438\u043A\u0430 \u0432\u043A\u043B\u044E\u0447\u0430\u0435\u0442 \u0432 \u0441\u0435\u0431\u044F \u0442\u0435\u043E\u0440\u0438\u044E \u0443\u0441\u0442\u043E\u0439\u0447\u0438\u0432\u043E\u0441\u0442\u0438, \u0442\u0435\u043E\u0440\u0438\u044E \u0434\u0438\u043D\u0430\u043C\u0438\u0447\u0435\u0441\u043A\u043E\u0433\u043E \u0445\u0430\u043E\u0441\u0430, \u044D\u0440\u0433\u043E\u0434\u0438\u0447\u0435\u0441\u043A\u0443\u044E \u0442\u0435\u043E\u0440\u0438\u044E, \u0442\u0435\u043E\u0440\u0438\u044E \u0438\u043D\u0442\u0435\u0433\u0440\u0438\u0440\u0443\u0435\u043C\u044B\u0445 \u0441\u0438\u0441\u0442\u0435\u043C. \u041F\u0440\u0438\u043D\u044F\u0442\u043E \u043D\u0435\u043B\u0438\u043D\u0435\u0439\u043D\u043E\u0439 \u043D\u0430\u0437\u044B\u0432\u0430\u0442\u044C \u0442\u0435\u043E\u0440\u0438\u044E, \u0432 \u043A\u043E\u0442\u043E\u0440\u043E\u0439 \u0438\u0441\u043F\u043E\u043B\u044C\u0437\u0443\u044E\u0442 \u043D\u0435\u043B\u0438\u043D\u0435\u0439\u043D\u044B\u0435 \u043C\u0430\u0442\u0435\u043C\u0430\u0442\u0438\u0447\u0435\u0441\u043A\u0438\u0435 \u043C\u043E\u0434\u0435\u043B\u0438."@ru ,
"En matem\u00E0tiques i ci\u00E8ncia, un sistema no lineal \u00E9s un sistema en qu\u00E8 el canvi de la sortida no \u00E9s proporcional al canvi de l'entrada. Els problemes no lineals s\u00F3n interessants en els camps de l'enginyeria, la biologia, la f\u00EDsica, les matem\u00E0tiques, i molts altres camps de la ci\u00E8ncia ja que la majoria de sistemes tenen una naturalesa inherentment no lineal. Els sistemes din\u00E0mics no lineals, que descriuen l'evoluci\u00F3 de variables en el temps, poden semblar ca\u00F2tics, impracticables, o contraintuitius, en comparaci\u00F3 amb els sistemes lineals, que s\u00F3n m\u00E9s simples."@ca ,
"Dalam matematika, sistem nonlinier adalah sistem yang tidak yakni sistem yang tidak memenuhi . Sedikit lebih teknis, sistem nonlinier adalah sembarang soal dimana peubah yang disolusi tidak dapat ditulis sebagai jumlah linier komponen-komponen tak gayut. Sistem , yang linier terpisah dari keberadaan fungsi , adalah nonlinier menurut definisi yang tegas, tetapi sistem demikian biasanya dipelajari disamping sistem linier, karena mereka dapat ditransformasi menuju sistem linier sepanjang solusi khusus diketahui. \n* l \n* \n* s"@in ,
"Nichtlineare Systeme (NL-Systeme) sind Systeme der Systemtheorie, deren Ausgangssignal nicht immer proportional zum Eingangssignal (Systemreiz) ist. Sie k\u00F6nnen wesentlich komplexer sein als lineare Systeme."@de ,
"( MOT\uC758 \uC74C\uBC18\uC5D0 \uB300\uD574\uC11C\uB294 \uBE44\uC120\uD615 (\uC74C\uBC18) \uBB38\uC11C\uB97C \uCC38\uACE0\uD558\uC2ED\uC2DC\uC624.) \uACC4, \uBCC0\uD658 \uB4F1\uC774 \uBE44\uC120\uD615(\u975E\u7DDA\u5F62)\uC774\uB77C\uB294 \uAC83\uC740 \uADF8 \uAD6C\uC131\uC694\uC18C\uC758 \uD569\uC774\uB098 \uACF1 \uB4F1 \uC120\uD615 \uACB0\uD569\uC73C\uB85C \uC124\uBA85\uD560 \uC218 \uC5C6\uB2E4\uB294 \uAC83\uC744 \uB73B\uD55C\uB2E4."@ko ,
"Matematikan, sistema ez linealak deskribatzaileen jokabideen batura gisa adierazten ez diren sistemak adierazten dituzte. Formalkiago, sistema fisiko, matematiko edo beste sistema bat ez lineala da bere portaera erregulatzen duten higidura- bilakaera edo portaera-ekuazioak ez linealak direnean. Bereziki, sistema ez linealen portaera ez dago gainjartze-printzipioaren menpe, sistema lineal batean den bezala."@eu ,
"In matematica un sistema non lineare (talvolta nonlineare) \u00E8 un sistema di equazioni in cui almeno una di esse \u00E8 non lineare, cio\u00E8 non esprimibile come combinazione lineare delle incognite presenti e di una costante. Ad esempio potrebbe contenere equazioni algebriche con almeno un termine di grado diverso da uno, o pi\u00F9 in generale dei termini non polinomiali. In pratica, ogni sistema di equazioni che non sia lineare \u00E8 detto non lineare."@it ,
"In mathematics and science, a nonlinear system is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems are of interest to engineers, biologists, physicists, mathematicians, and many other scientists because most systems are inherently nonlinear in nature. Nonlinear dynamical systems, describing changes in variables over time, may appear chaotic, unpredictable, or counterintuitive, contrasting with much simpler linear systems. Some authors use the term nonlinear science for the study of nonlinear systems. This term is disputed by others:"@en ,
"\u975E\u7DDA\u5F62\u30B7\u30B9\u30C6\u30E0\u8AD6\uFF08\u3072\u305B\u3093\u3051\u3044\u30B7\u30B9\u30C6\u30E0\u308D\u3093\u3001\u82F1\u8A9E: nonlinear system theory\uFF09\u3068\u306F\u3001\u7DDA\u5F62\u30B7\u30B9\u30C6\u30E0\u3067\u306A\u3044\u30B7\u30B9\u30C6\u30E0\u3001\u7279\u306B\u975E\u7DDA\u5F62\u306E\u5E38\u5FAE\u5206\u65B9\u7A0B\u5F0F\u3067\u8868\u3055\u308C\u305F\u7CFB\u3092\u5BFE\u8C61\u3068\u3057\u305F\u5236\u5FA1\u7406\u8AD6\u3067\u3042\u308A\u3001\u305D\u306E\u5BFE\u8C61\u306F\u5B9F\u306B\u591A\u5C90\u306B\u6E21\u308B\u3002 \u305D\u306E\u4E2D\u3067\u3082\u3001\u72B6\u614B\u65B9\u7A0B\u5F0F\u304C\u7121\u9650\u56DE\u5FAE\u5206\u53EF\u80FD\u3067\u3042\u308B\u3082\u306E\u306B\u3064\u3044\u3066\u96C6\u4E2D\u7684\u306B\u7814\u7A76\u3055\u308C\u3001\u7DDA\u5F62\u30B7\u30B9\u30C6\u30E0\u8AD6\u306E\u6982\u5FF5\u306E\u62E1\u5F35\u3092\u521D\u3081\u3001\u5FAE\u5206\u5E7E\u4F55\u5B66\u306E\u6982\u5FF5\u3092\u5FDC\u7528\u3057\u3066\u591A\u304F\u306E\u6210\u679C\u304C\u51FA\u59CB\u3081\u3066\u3044\u308B\u3002\u305D\u306E\u6D41\u308C\u306F\u5927\u304D\u304F\u5206\u3051\u3066 \n* \u7DDA\u5F62\u8FD1\u4F3C\u306E\u6709\u52B9\u9818\u57DF\u3092\u5E83\u3052\u308B\u3082\u306E \n* \u672C\u8CEA\u7684\u306B\u7DDA\u5F62\u8FD1\u4F3C\u3067\u306F\u5236\u5FA1\u3067\u304D\u306A\u3044\u3082\u306E \u306E2\u3064\u304C\u3042\u308B\u3002\u524D\u8005\u306B\u3064\u3044\u3066\u306F\u3001\u7DDA\u5F62\u30B7\u30B9\u30C6\u30E0\u306B\u5909\u63DB\u3059\u308B\u7DDA\u5F62\u5316\u304C\u4EE3\u8868\u7684\u3067\u3042\u308A\u3001\u5F8C\u8005\u306B\u3064\u3044\u3066\u306F\u53CC\u7DDA\u5F62\u30B7\u30B9\u30C6\u30E0\u3084\u975E\u30DB\u30ED\u30CE\u30DF\u30C3\u30AF\u30B7\u30B9\u30C6\u30E0\u3092\u5BFE\u8C61\u3068\u3057\u305F\u7814\u7A76\u304C\u6319\u3052\u3089\u308C\u308B\u3002"@ja ,
"\u5728\u7269\u7406\u79D1\u5B78\u4E2D\uFF0C\u5982\u679C\u63CF\u8FF0\u67D0\u500B\u7CFB\u7D71\u7684\u65B9\u7A0B\u5176\u8F38\u5165\uFF08\u81EA\u8B8A\u6578\uFF09\u8207\u8F38\u51FA\uFF08\u61C9\u8B8A\u6578\uFF09\u4E0D\u6210\u6B63\u6BD4\uFF0C\u5247\u7A31\u70BA\u975E\u7DDA\u6027\u7CFB\u7D71\u3002\u7531\u65BC\u81EA\u7136\u754C\u4E2D\u5927\u90E8\u5206\u7684\u7CFB\u7D71\u672C\u8CEA\u4E0A\u90FD\u662F\u975E\u7DDA\u6027\u7684\uFF0C\u56E0\u6B64\u8A31\u591A\u5DE5\u7A0B\u5E2B\u3001\u7269\u7406\u5B78\u5BB6\u3001\u6578\u5B78\u5BB6\u548C\u5176\u4ED6\u79D1\u5B78\u5BB6\u5C0D\u65BC\u975E\u7DDA\u6027\u554F\u984C\u7684\u7814\u7A76\u90FD\u6975\u611F\u8208\u8DA3\u3002\u975E\u7DDA\u6027\u7CFB\u7D71\u548C\u7DDA\u6027\u7CFB\u7D71\u6700\u5927\u7684\u5DEE\u5225\u5728\u65BC\uFF0C\u975E\u7DDA\u6027\u7CFB\u7D71\u53EF\u80FD\u6703\u5C0E\u81F4\u6DF7\u6C8C\u3001\u4E0D\u53EF\u9810\u6E2C\uFF0C\u6216\u662F\u4E0D\u76F4\u89C0\u7684\u7D50\u679C\u3002 \u4E00\u822C\u4F86\u8AAA\uFF0C\u975E\u7DDA\u6027\u7CFB\u7D71\u7684\u884C\u70BA\u53EF\u4EE5\u7528\u4E00\u7D44\u975E\u7DDA\u6027\u806F\u7ACB\u65B9\u7A0B\u4F86\u63CF\u8FF0\u3002\u975E\u7DDA\u6027\u65B9\u7A0B\u88E1\u542B\u6709\u7531\u672A\u77E5\u6578\u69CB\u6210\u7684\u975E\u7DDA\u6027\u51FD\u6578\uFF1B\u63DB\u53E5\u8A71\u8AAA\uFF0C\u4E00\u500B\u975E\u7DDA\u6027\u65B9\u7A0B\u4E26\u4E0D\u80FD\u5BEB\u6210\u5176\u672A\u77E5\u6578\u7684\u7DDA\u6027\u7D44\u5408\u3002\u975E\u7DDA\u6027\u5FAE\u5206\u65B9\u7A0B\uFF0C\u5247\u662F\u6307\u65B9\u7A0B\u88E1\u542B\u6709\u672A\u77E5\u51FD\u6578\u53CA\u5176\u5C0E\u51FD\u6578\u7684\u4E58\u51AA\u4E0D\u7B49\u65BC\u4E00\u7684\u9805\u3002\u5728\u5224\u5B9A\u4E00\u500B\u65B9\u7A0B\u662F\u7DDA\u6027\u6216\u975E\u7DDA\u6027\u6642\uFF0C\u53EA\u9700\u8003\u616E\u672A\u77E5\u6578\uFF08\u6216\u672A\u77E5\u51FD\u6578\uFF09\u7684\u90E8\u5206\uFF0C\u4E0D\u9700\u8981\u6AA2\u67E5\u65B9\u7A0B\u4E2D\u662F\u5426\u6709\u5DF2\u77E5\u7684\u975E\u7DDA\u6027\u9805\u3002\u4F8B\u5982\u5728\u5FAE\u5206\u65B9\u7A0B\u4E2D\uFF0C\u82E5\u6240\u6709\u7684\u672A\u77E5\u51FD\u6578\u3001\u672A\u77E5\u5C0E\u51FD\u6578\u7686\u70BA\u4E00\u6B21\uFF0C\u5373\u4F7F\u51FA\u73FE\u7531\u67D0\u500B\u5DF2\u77E5\u8B8A\u6578\u6240\u69CB\u6210\u7684\u975E\u7DDA\u6027\u51FD\u6578\uFF0C\u4ECD\u7A31\u5B83\u662F\u7DDA\u6027\u5FAE\u5206\u65B9\u7A0B\u3002 \u7531\u65BC\u975E\u7DDA\u6027\u65B9\u7A0B\u975E\u5E38\u96E3\u89E3\uFF0C\u56E0\u6B64\u5E38\u5E38\u9700\u8981\u4EE5\u7DDA\u6027\u65B9\u7A0B\u4F86\u8FD1\u4F3C\u4E00\u500B\u975E\u7DDA\u6027\u7CFB\u7D71\uFF08\u7DDA\u6027\u8FD1\u4F3C\uFF09\u3002\u9019\u7A2E\u8FD1\u4F3C\u5C0D\u67D0\u7BC4\u570D\u5167\u7684\u8F38\u5165\u503C\uFF08\u81EA\u8B8A\u6578\uFF09\u662F\u5F88\u6E96\u78BA\u7684\uFF0C\u4F46\u7DDA\u6027\u8FD1\u4F3C\u4E4B\u5F8C\u53CD\u800C\u6703\u7121\u6CD5\u89E3\u91CB\u8A31\u591A\u6709\u8DA3\u7684\u73FE\u8C61\uFF0C\u4F8B\u5982\u5B64\u6CE2\u3001\u6DF7\u6C8C\u548C\u5947\u9EDE\u3002\u9019\u4E9B\u5947\u7279\u7684\u73FE\u8C61\uFF0C\u4E5F\u5E38\u5E38\u8B93\u975E\u7DDA\u6027\u7CFB\u7D71\u7684\u884C\u70BA\u770B\u8D77\u4F86\u9055\u53CD\u76F4\u89BA\u3001\u4E0D\u53EF\u9810\u6E2C\uFF0C\u6216\u751A\u81F3\u6DF7\u6C8C\u3002\u96D6\u7136\u300C\u6DF7\u6C8C\u7684\u884C\u70BA\u300D\u548C\u300C\u96A8\u6A5F\u7684\u884C\u70BA\u300D\u611F\u89BA\u5F88\u76F8\u4F3C\uFF0C\u4F46\u5169\u8005\u7D55\u5C0D\u4E0D\u80FD\u6DF7\u70BA\u4E00\u8AC7\uFF1B\u4E5F\u5C31\u662F\u8AAA\uFF0C\u4E00\u500B\u6DF7\u6C8C\u7CFB\u7D71\u7684\u884C\u70BA\u7D55\u5C0D\u4E0D\u662F\u96A8\u6A5F\u7684\u3002 \u2014\u2014\u65AF\u5854\u5C3C\u65AF\u62C9\u592B\uFF0E\u70CF\u62C9\u59C6"@zh ,
"En matem\u00E1ticas, los sistemas no lineales representan sistemas cuyo comportamiento no es expresable como la suma de los comportamientos de sus descriptores. M\u00E1s formalmente, un sistema f\u00EDsico, matem\u00E1tico o de otro tipo es no lineal cuando las ecuaciones de movimiento, evoluci\u00F3n o comportamiento que regulan su comportamiento son no lineales. En particular, el comportamiento de sistemas no lineales no est\u00E1 sujeto al principio de superposici\u00F3n, como lo es un sistema lineal."@es ,
"\u0641\u064A \u0645\u062C\u0627\u0644 \u0627\u0644\u0631\u064A\u0627\u0636\u064A\u0627\u062A\u060C \u064A\u0639\u062F \u0645\u0635\u0637\u0644\u062D \u0627\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u0644\u0627\u062E\u0637\u064A \u0645\u0635\u0637\u0644\u062D\u064B\u0627 \u0644\u0627 \u064A\u0633\u062A\u0648\u0641\u064A \u0634\u0631\u0648\u0637 \u0645\u0628\u062F\u0623 \u0627\u0644\u062A\u0631\u0627\u0643\u0628\u060C \u0623\u0648 \u0645\u0635\u0637\u0644\u062D\u064B\u0627 \u064A\u0643\u0648\u0646 \u0646\u0627\u062A\u062C\u0647 \u063A\u064A\u0631 \u0645\u062A\u0646\u0627\u0633\u0628 \u0645\u0628\u0627\u0634\u0631\u0629 \u0645\u0639 \u0645\u062F\u062E\u0644\u0627\u062A\u0647\u060C \u0628\u064A\u0646\u0645\u0627 \u064A\u062D\u0642\u0642 \u0627\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u062E\u0637\u064A \u062A\u0644\u0643 \u0627\u0644\u0634\u0631\u0648\u0637. \u0648\u0628\u0645\u0639\u0646\u0649 \u0622\u062E\u0631\u060C \u0641\u0625\u0646 \u0627\u0644\u0646\u0638\u0627\u0645 \u0627\u0644\u0644\u0627\u062E\u0637\u064A \u0647\u0648 \u0623\u064A\u0629 \u0645\u0634\u0643\u0644\u0629 \u064A\u0643\u0648\u0646 \u0641\u064A\u0647\u0627 \u0627\u0644\u0645\u062A\u063A\u064A\u0631 (\u0627\u0644\u0645\u062A\u063A\u064A\u0631\u0627\u062A) \u0627\u0644\u0645\u0641\u062A\u0631\u0636 \u062D\u0644\u0647\u0627 \u0644\u0627 \u064A\u0645\u0643\u0646 \u0643\u062A\u0627\u0628\u062A\u0647\u0627 \u0643\u0640\u062A\u0631\u0643\u064A\u0628\u0629 \u062E\u0637\u064A\u0629 \u0644\u0645\u0643\u0648\u0646\u0627\u062A \u0645\u0633\u062A\u0642\u0644\u0629. \u0648\u064A\u0639\u062F \u0627\u0644\u0646\u0638\u0627\u0645 \u063A\u064A\u0631 \u0627\u0644\u0645\u062A\u062C\u0627\u0646\u0633\u060C \u0627\u0644\u0630\u064A \u064A\u0643\u0648\u0646 \u062E\u0637\u064A\u064B\u0627 \u0628\u063A\u0636 \u0627\u0644\u0646\u0638\u0631 \u0639\u0646 \u0648\u062C\u0648\u062F \u0648\u0638\u064A\u0641\u0629 \u0627\u0644\u0645\u062A\u063A\u064A\u0631\u0627\u062A \u0627\u0644\u0645\u0633\u062A\u0642\u0644\u0629\u060C \u0647\u0648 \u0646\u0638\u0627\u0645 \u0644\u0627\u062E\u0637\u064A \u0648\u0641\u0642\u064B\u0627 \u0644\u062A\u0639\u0631\u064A\u0641 \u062F\u0642\u064A\u0642\u060C \u0648\u0644\u0643\u0646 \u0647\u0630\u0647 \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u062A\u062A\u0645 \u062F\u0631\u0627\u0633\u062A\u0647\u0627 \u0639\u0627\u062F\u0629\u064B \u0625\u0644\u0649 \u062C\u0627\u0646\u0628 \u0627\u0644\u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u062E\u0637\u064A\u0629\u061B \u0648\u0630\u0644\u0643 \u0628\u0633\u0628\u0628 \u0625\u0645\u0643\u0627\u0646\u064A\u0629 \u062A\u062D\u0648\u064A\u0644\u0647\u0627 \u0625\u0644\u0649 \u0623\u0646\u0638\u0645\u0629 \u062E\u0637\u064A\u0629 \u0645\u0646 \u0645\u062A\u063A\u064A\u0631\u0627\u062A \u0645\u062A\u0639\u062F\u062F\u0629."@ar ;
rdfs:seeAlso dbr:List_of_nonlinear_partial_differential_equations ;
foaf:depiction ,
.
@prefix dcterms: .
@prefix dbc: .
dbr:Nonlinear_system dcterms:subject dbc:Dynamical_systems ,
dbc:Concepts_in_physics ,
dbc:Nonlinear_systems ;
dbo:abstract "Um sistema din\u00E2mico n\u00E3o linear \u00E9 um sistema determinista, cujo comportamento futuro \u00E9 previs\u00EDvel segundo a Teoria do Caos, se as condi\u00E7\u00F5es iniciais do sistema forem perfeitamente conhecidas. A alta sensibilidade \u00E0s condi\u00E7\u00F5es inciais, por\u00E9m, d\u00E1 ao sistema n\u00E3o linear a caracter\u00EDstica de instabilidade, o que faz com que seja incorretamente confundido com um sistema aleat\u00F3rio. Enquanto o comportamento futuro do sistema n\u00E3o linear pode ser determinado se as condi\u00E7\u00F5es iniciais forem perfeitamente conhecidas, o mesmo n\u00E3o ocorre com um sistema aleat\u00F3rio. Embora um sistema n\u00E3o linear evolua no tempo com um comportamento inst\u00E1vel e aperi\u00F3dico, tal comportamento \u00E9 determin\u00EDstico, pois seu estado futuro pode ser conhecido, desde que conhecido o seu estado atual. O estado futuro pode, por\u00E9m, ser radicalmente modificado a partir de pequenas mudan\u00E7as no estado atual. A dificuldade de se conhecer o estado presente com exatid\u00E3o leva \u00E0 necessidade de modelar o sistema n\u00E3o linear como aleat\u00F3rio, em algumas situa\u00E7\u00F5es, quando os detalhes do comportamento n\u00E3o s\u00E3o de interesse, embora ele seja, na realidade, determin\u00EDstico."@pt ,
"In matematica un sistema non lineare (talvolta nonlineare) \u00E8 un sistema di equazioni in cui almeno una di esse \u00E8 non lineare, cio\u00E8 non esprimibile come combinazione lineare delle incognite presenti e di una costante. Ad esempio potrebbe contenere equazioni algebriche con almeno un termine di grado diverso da uno, o pi\u00F9 in generale dei termini non polinomiali. In pratica, ogni sistema di equazioni che non sia lineare \u00E8 detto non lineare."@it ,
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"En icke-linj\u00E4r funktion eller kurva \u00E4r inom matematik en s\u00E5dan som inte kan dras med linjal i ett vanligt xy-diagram (koordinatsystem), d\u00E4rav namnet. Vissa l\u00E4ror kr\u00E4ver \u00E4ven att den linj\u00E4ra \"kurvan\" skall g\u00E5 genom origo (y = kx) f\u00F6r att f\u00F6rtj\u00E4na namnet linj\u00E4r. Andra n\u00F6jer sig med r\u00E4ta linjens ekvation (y = kx + m). Begreppet icke-linj\u00E4r anv\u00E4nds ofta f\u00F6r elektroniska komponenter som inte uppvisar en str\u00F6m-sp\u00E4nnings karakteristik enligt r\u00E4ta linjens ekvation, till exempel halvledarkomponenter som dioder och transistorer."@sv ,
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\u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043A\u0430\u044F \u0432\u0438\u0431\u0440\u0430\u0446\u0438\u044F \u0432\u043E\u0437\u043C\u043E\u0436\u043D\u0430 \u0434\u0430\u0436\u0435 \u043F\u0440\u0438 \u043D\u0430\u043B\u0438\u0447\u0438\u0438 \u0434\u0435\u043C\u043F\u0444\u0438\u0440\u043E\u0432\u0430\u043D\u0438\u044F, \u043F\u0440\u0438\u0447\u0435\u043C \u043F\u0430\u0440\u0430\u043C\u0435\u0442\u0440\u0438\u0447\u0435\u0441\u043A\u0438\u0439 \u0440\u0435\u0437\u043E\u043D\u0430\u043D\u0441 \u043E\u0441\u0443\u0449\u0435\u0441\u0442\u0432\u043B\u044F\u0435\u0442\u0441\u044F \u043D\u0435 \u043F\u0440\u0438 \u0434\u0438\u0441\u043A\u0440\u0435\u0442\u043D\u044B\u0445 \u0437\u043D\u0430\u0447\u0435\u043D\u0438\u044F\u0445 \u0447\u0430\u0441\u0442\u043E\u0442 (\u043D\u0430\u043F\u0440\u0438\u043C\u0435\u0440 \u0440\u0435\u0437\u043E\u043D\u0430\u043D\u0441\u043D\u044B\u0445 \u0447\u0430\u0441\u0442\u043E\u0442 \u043F\u0440\u0438 \u0432\u044B\u043D\u0443\u0436\u0434\u0435\u043D\u043D\u044B\u0445 \u043A\u043E\u043B\u0435\u0431\u0430\u043D\u0438\u044F\u0445), \u0430 \u0432 \u043D\u0435\u043A\u043E\u0442\u043E\u0440\u044B\u0445 \u0434\u0438\u0430\u043F\u0430\u0437\u043E\u043D\u0430\u0445 \u0447\u0430\u0441\u0442\u043E\u0442."@ru ,
"Niet-lineaire systemen hebben met elkaar gemeenschappelijk dat ze een bepaald kenmerk missen, namelijk lineariteit. Niet-lineaire systemen hebben dus een niet-rechte karakteristiek, bijvoorbeeld: \n* kromme karakteristiek \n* \n* hysterese \n* dode zone Een apart geval is het verschijnsel looptijd, waarbij er een vaste hoeveelheid tijd verstrijkt tussen oorzaak en gevolg. Niet-lineariteiten worden doorgaans veroorzaakt door heel alledaagse verschijnselen zoals wrijving (dode zone) en speling (hysterese). In feite zijn alle fysische systemen in allerlei opzichten niet-lineair: een cilinder waar je water in laat lopen raakt uiteindelijk vol (verzadiging), een gewone emmer is daarnaast altijd iets taps en vertoont dus een kromme karakteristiek enzovoorts. Sommige soorten niet-lineariteiten (met name de kromme karakteristiek en verzadiging) kunnen binnen een beperkt gebied wel worden opgevat als lineair: de wiskundige benadering met een rechte lijn rond een gekozen heet lineariseren. Wiskundig komt dit erop neer dat van de functie die het gedrag beschrijft, een reeksontwikkeling wordt gemaakt. Bij voldoende kleine signalen kunnen de hogere-ordetermen worden verwaarloosd, zodat een lineair verband overblijft."@nl ,
"\u975E\u7DDA\u5F62\u30B7\u30B9\u30C6\u30E0\u8AD6\uFF08\u3072\u305B\u3093\u3051\u3044\u30B7\u30B9\u30C6\u30E0\u308D\u3093\u3001\u82F1\u8A9E: nonlinear system theory\uFF09\u3068\u306F\u3001\u7DDA\u5F62\u30B7\u30B9\u30C6\u30E0\u3067\u306A\u3044\u30B7\u30B9\u30C6\u30E0\u3001\u7279\u306B\u975E\u7DDA\u5F62\u306E\u5E38\u5FAE\u5206\u65B9\u7A0B\u5F0F\u3067\u8868\u3055\u308C\u305F\u7CFB\u3092\u5BFE\u8C61\u3068\u3057\u305F\u5236\u5FA1\u7406\u8AD6\u3067\u3042\u308A\u3001\u305D\u306E\u5BFE\u8C61\u306F\u5B9F\u306B\u591A\u5C90\u306B\u6E21\u308B\u3002 \u305D\u306E\u4E2D\u3067\u3082\u3001\u72B6\u614B\u65B9\u7A0B\u5F0F\u304C\u7121\u9650\u56DE\u5FAE\u5206\u53EF\u80FD\u3067\u3042\u308B\u3082\u306E\u306B\u3064\u3044\u3066\u96C6\u4E2D\u7684\u306B\u7814\u7A76\u3055\u308C\u3001\u7DDA\u5F62\u30B7\u30B9\u30C6\u30E0\u8AD6\u306E\u6982\u5FF5\u306E\u62E1\u5F35\u3092\u521D\u3081\u3001\u5FAE\u5206\u5E7E\u4F55\u5B66\u306E\u6982\u5FF5\u3092\u5FDC\u7528\u3057\u3066\u591A\u304F\u306E\u6210\u679C\u304C\u51FA\u59CB\u3081\u3066\u3044\u308B\u3002\u305D\u306E\u6D41\u308C\u306F\u5927\u304D\u304F\u5206\u3051\u3066 \n* \u7DDA\u5F62\u8FD1\u4F3C\u306E\u6709\u52B9\u9818\u57DF\u3092\u5E83\u3052\u308B\u3082\u306E \n* \u672C\u8CEA\u7684\u306B\u7DDA\u5F62\u8FD1\u4F3C\u3067\u306F\u5236\u5FA1\u3067\u304D\u306A\u3044\u3082\u306E \u306E2\u3064\u304C\u3042\u308B\u3002\u524D\u8005\u306B\u3064\u3044\u3066\u306F\u3001\u7DDA\u5F62\u30B7\u30B9\u30C6\u30E0\u306B\u5909\u63DB\u3059\u308B\u7DDA\u5F62\u5316\u304C\u4EE3\u8868\u7684\u3067\u3042\u308A\u3001\u5F8C\u8005\u306B\u3064\u3044\u3066\u306F\u53CC\u7DDA\u5F62\u30B7\u30B9\u30C6\u30E0\u3084\u975E\u30DB\u30ED\u30CE\u30DF\u30C3\u30AF\u30B7\u30B9\u30C6\u30E0\u3092\u5BFE\u8C61\u3068\u3057\u305F\u7814\u7A76\u304C\u6319\u3052\u3089\u308C\u308B\u3002"@ja ,
"En matem\u00E1ticas, los sistemas no lineales representan sistemas cuyo comportamiento no es expresable como la suma de los comportamientos de sus descriptores. M\u00E1s formalmente, un sistema f\u00EDsico, matem\u00E1tico o de otro tipo es no lineal cuando las ecuaciones de movimiento, evoluci\u00F3n o comportamiento que regulan su comportamiento son no lineales. En particular, el comportamiento de sistemas no lineales no est\u00E1 sujeto al principio de superposici\u00F3n, como lo es un sistema lineal. En diversas ramas de las ciencias la no linealidad es la responsable de comportamientos complejos y, frecuentemente, impredictibles o ca\u00F3ticos. La no linealidad frecuentemente aparece ligada a la autointeracci\u00F3n, el efecto sobre el propio sistema del estado anterior del sistema. En f\u00EDsica, biolog\u00EDa o econom\u00EDa la no linealidad de diversos subsistemas es una fuente de problemas complejos, en las \u00FAltimas d\u00E9cadas la aparici\u00F3n de los ordenadores digitales y la simulaci\u00F3n num\u00E9rica ha disparado el inter\u00E9s cient\u00EDfico por los sistemas no lineales, ya que por primera vez muchos sistemas han podido ser investigados de manera m\u00E1s o menos sistem\u00E1tica."@es ,
"Drgania nieliniowe \u2013 drgania wykonywane przez uk\u0142ady, w kt\u00F3rych istniej\u0105 si\u0142y nieproporcjonalne do wychylenia z po\u0142o\u017Cenia r\u00F3wnowagi."@pl ,
"En matem\u00E0tiques i ci\u00E8ncia, un sistema no lineal \u00E9s un sistema en qu\u00E8 el canvi de la sortida no \u00E9s proporcional al canvi de l'entrada. Els problemes no lineals s\u00F3n interessants en els camps de l'enginyeria, la biologia, la f\u00EDsica, les matem\u00E0tiques, i molts altres camps de la ci\u00E8ncia ja que la majoria de sistemes tenen una naturalesa inherentment no lineal. Els sistemes din\u00E0mics no lineals, que descriuen l'evoluci\u00F3 de variables en el temps, poden semblar ca\u00F2tics, impracticables, o contraintuitius, en comparaci\u00F3 amb els sistemes lineals, que s\u00F3n m\u00E9s simples. T\u00EDpicament, el comportament dels sistemes no lineals \u00E9s descrit matem\u00E0ticament com un sistema d'equacions no lineals, que \u00E9s el conjunt d'equacions simult\u00E0nies en qu\u00E8 les inc\u00F2gnites (o les funcions desconegudes en el cas d'equacions diferencials) apareixen com a polinomis de grau superior o com a arguments d'una funci\u00F3 no polin\u00F2mica de grau u. En altres paraules, en un sistema d'equacions no lineals, l'equaci\u00F3 (o equacions) que s'han de resoldre no es poden escriure com una combinaci\u00F3 lineal de les variables o funcions desconegudes que hi apareixen. Es pot definir un sistema com a no lineal independentment de si en les seves equacions hi apareixen o no funcions lineals. En particular, una equaci\u00F3 diferencial \u00E9s lineal si es lineal en termes de la funci\u00F3 desconeguda i de les seves derivades, fins i tot encara que hi apareguin termes no lineals de les altres variables. Com que les equacions din\u00E0miques no lineals s\u00F3n dif\u00EDcils de resoldre, els sistemes no lineals s\u00F3n tractats sovint mitjan\u00E7ant equacions lineals (linealitzaci\u00F3). Aix\u00F2 funciona b\u00E9 fins a una certa precisi\u00F3 i per un cert domini de les entrades, per\u00F2 alguns fen\u00F2mens interessants com els solitons, el caos, i singularitats queden amagades en el proc\u00E9s de linealitzaci\u00F3. Per tant, alguns aspectes del comportament din\u00E0mic de sistemes no lineals poden semblar contraintuitius, umprevisibles o fins i tot ca\u00F2tics. Tot i que aquest comportament ca\u00F2tic pugui recordar el comportament aleatori, de fet no \u00E9s aleatori. Per exemple, alguns aspectes del temps poden semblar ca\u00F2tics, quan canvis simples d'una part del sistema produeixen efectes complexes en el conjunt. Aquesta no linealitat \u00E9s una de les raons per qu\u00E8 les previsions a llarg termini s\u00F3n impossibles de fer amb la tecnologia actual. Alguns autors utilitzen el terme ci\u00E8ncia no lineal per referir-se a l'estudi dels sistemes no lineals. Aquest terme, tanmateix, \u00E9s discutit per altres autors"@ca ,
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"In mathematics and science, a nonlinear system is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems are of interest to engineers, biologists, physicists, mathematicians, and many other scientists because most systems are inherently nonlinear in nature. Nonlinear dynamical systems, describing changes in variables over time, may appear chaotic, unpredictable, or counterintuitive, contrasting with much simpler linear systems. Typically, the behavior of a nonlinear system is described in mathematics by a nonlinear system of equations, which is a set of simultaneous equations in which the unknowns (or the unknown functions in the case of differential equations) appear as variables of a polynomial of degree higher than one or in the argument of a function which is not a polynomial of degree one.In other words, in a nonlinear system of equations, the equation(s) to be solved cannot be written as a linear combination of the unknown variables or functions that appear in them. Systems can be defined as nonlinear, regardless of whether known linear functions appear in the equations. In particular, a differential equation is linear if it is linear in terms of the unknown function and its derivatives, even if nonlinear in terms of the other variables appearing in it. As nonlinear dynamical equations are difficult to solve, nonlinear systems are commonly approximated by linear equations (linearization). This works well up to some accuracy and some range for the input values, but some interesting phenomena such as solitons, chaos, and singularities are hidden by linearization. It follows that some aspects of the dynamic behavior of a nonlinear system can appear to be counterintuitive, unpredictable or even chaotic. Although such chaotic behavior may resemble random behavior, it is in fact not random. For example, some aspects of the weather are seen to be chaotic, where simple changes in one part of the system produce complex effects throughout. This nonlinearity is one of the reasons why accurate long-term forecasts are impossible with current technology. Some authors use the term nonlinear science for the study of nonlinear systems. This term is disputed by others: Using a term like nonlinear science is like referring to the bulk of zoology as the study of non-elephant animals. \u2014\u2009Stanis\u0142aw Ulam"@en ,
"( MOT\uC758 \uC74C\uBC18\uC5D0 \uB300\uD574\uC11C\uB294 \uBE44\uC120\uD615 (\uC74C\uBC18) \uBB38\uC11C\uB97C \uCC38\uACE0\uD558\uC2ED\uC2DC\uC624.) \uACC4, \uBCC0\uD658 \uB4F1\uC774 \uBE44\uC120\uD615(\u975E\u7DDA\u5F62)\uC774\uB77C\uB294 \uAC83\uC740 \uADF8 \uAD6C\uC131\uC694\uC18C\uC758 \uD569\uC774\uB098 \uACF1 \uB4F1 \uC120\uD615 \uACB0\uD569\uC73C\uB85C \uC124\uBA85\uD560 \uC218 \uC5C6\uB2E4\uB294 \uAC83\uC744 \uB73B\uD55C\uB2E4."@ko ,
"Dalam matematika, sistem nonlinier adalah sistem yang tidak yakni sistem yang tidak memenuhi . Sedikit lebih teknis, sistem nonlinier adalah sembarang soal dimana peubah yang disolusi tidak dapat ditulis sebagai jumlah linier komponen-komponen tak gayut. Sistem , yang linier terpisah dari keberadaan fungsi , adalah nonlinier menurut definisi yang tegas, tetapi sistem demikian biasanya dipelajari disamping sistem linier, karena mereka dapat ditransformasi menuju sistem linier sepanjang solusi khusus diketahui. Pada umumnya, soal nonlinier adalah rumit (jika mungkin) untuk disolusi dan sangat sedikit yang dipahami dibanding soal linier. Bahkan jika tak dapat disolusi secara eksak, hasil dari soal linier dapat diramalkan, sementara hasil soal nonlinier adalah tak terpisahkan tak dapat diramalkan. Soal nonlinier menjadi minat fisikawan dan matematikawan karena pada umumnya sistem fisis di alam adalah tak dapat dipisahkan dari sifat nonlinier. Contoh-contoh fisis sistem linier adalah tidak sangat umum. Persamaan nonlinier rumit untuk disolusi dan memunculkan fenomena menarik semisal chaos. Cuaca adalah contoh sistem nonlinier yang terkenal, dimana perubahan sederhana dalam satu bagian sistem menghasilkan akibat yang kompleks secara keseluruhan. sistem ini banyak di gunakan dalam mata kuliah teknik khususnya pada teknik fisika dan teknik elektro \n* l \n* \n* s"@in ,
"Neline\u00E1rn\u00ED syst\u00E9m je v matematice a v\u011Bd\u011B takov\u00FD syst\u00E9m, ve kter\u00E9m zm\u011Bna v\u00FDstupu nen\u00ED proporcion\u00E1ln\u00ED ke zm\u011Bn\u011B na vstupu. O neline\u00E1rn\u00ED syst\u00E9my se zaj\u00EDmaj\u00ED in\u017Een\u00FD\u0159i, biologov\u00E9, fyzici, matematici a dal\u0161\u00ED v\u011Bdci, proto\u017Ee mnoho syst\u00E9m\u016F je z podstaty neline\u00E1rn\u00EDch. Neline\u00E1rn\u00ED dynamick\u00E9 syst\u00E9my popisuj\u00EDc\u00ED zm\u011Bny prom\u011Bnn\u00FDch v \u010Dase se mohou zd\u00E1t chaotick\u00E9, nep\u0159edv\u00EDdateln\u00E9 nebo kontraintuitivn\u00ED, co\u017E je v kontrastu s mnohem jednodu\u0161\u0161\u00EDmi line\u00E1rn\u00EDmi syst\u00E9my."@cs ,
"Matematikan, sistema ez linealak deskribatzaileen jokabideen batura gisa adierazten ez diren sistemak adierazten dituzte. Formalkiago, sistema fisiko, matematiko edo beste sistema bat ez lineala da bere portaera erregulatzen duten higidura- bilakaera edo portaera-ekuazioak ez linealak direnean. Bereziki, sistema ez linealen portaera ez dago gainjartze-printzipioaren menpe, sistema lineal batean den bezala. Zientziaren hainbat adarretan, ez linealtasuna jokabide konplexu eta, askotan, ezusteko edo kaotikoen erantzule da. Ez linealtasuna maiz agertzen da autointerakzioarekin lotuta, sisteman bertan sistemaren aurreko egoerak duen eragina. Fisikan, biologian edo ekonomian, hainbat azpisistemaren ez linealtasuna arazo konplexuen iturria da. Azken hamarkadetan, konputagailu digitalak eta zenbakizko simulazioa agertzeak interes zientifikoa piztu du sistema ez linealetan, lehen aldiz sistema asko, gutxi edo gehiago, modu sistematikoan ikertu baitira."@eu ,
"Nichtlineare Systeme (NL-Systeme) sind Systeme der Systemtheorie, deren Ausgangssignal nicht immer proportional zum Eingangssignal (Systemreiz) ist. Sie k\u00F6nnen wesentlich komplexer sein als lineare Systeme."@de ;
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