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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 Andronov–Pontryagin criterion ： ウィキペディア英語版 Andronov–Pontryagin criterion The Andronov–Pontryagin criterion is a necessary and sufficient condition for the stability of dynamical systems in the plane. It was derived by Aleksandr Andronov and Lev Pontryagin in 1937. ==Statement== A dynamical system : $\backslash dot\; =\; v(x),$ where ''v'' is a ''C''1-vector field on the plane, ''x''∈R2, is orbitally topologically stable if and only if the following two conditions hold: # All equilibrium points and periodic orbits are ''hyperbolic''. # There are no ''saddle connections''. The same statement holds if the vector field ''v'' is defined on the unit disk and is transversal to the boundary. 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「Andronov–Pontryagin criterion」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.