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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Peixoto's theorem ： ウィキペディア英語版 Peixoto's theorem In the theory of dynamical systems, Peixoto theorem, proved by Maurício Peixoto, states that among all smooth flows on surfaces, i.e. compact two-dimensional manifolds, structurally stable systems may be characterized by the following properties: * The set of non-wandering points consists only of periodic orbits and fixed points. * The set of fixed points is finite and consists only of hyperbolic equilibrium points. * Finiteness of attracting or repelling periodic orbits. * Absence of saddle-to-saddle connections. Moreover, they form an open set in the space of all flows endowed with ''C''1 topology. == See also == * Andronov–Pontryagin criterion 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Peixoto's theorem」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.