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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 Chetaev instability theorem ： ウィキペディア英語版 Chetaev instability theorem The Chetaev instability theorem for dynamical systems states that if there exists, for the system $\backslash dot)$ with an equilibrium point at the origin, a continuously differentiable function V(x) such that # the origin is a boundary point of the set $G\; =\; \backslash )>0\backslash \}$; # there exists a neighborhood $U$ of the origin such that $\backslash dot(\backslash textbf)>0$ for all $\backslash mathbf\; \backslash in\; G\; \backslash cap\; U$ then the origin is an unstable equilibrium point of the system. This theorem is somewhat less restrictive than the Lyapunov instability theorems, since a complete sphere (circle) around the origin for which V and $\backslash dot$ both are of the same sign does not have to be produced. It is named after Nicolai Gurevich Chetaev. ==References== * 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「Chetaev instability 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.