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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 Stable manifold theorem ： ウィキペディア英語版 Stable manifold theorem In mathematics, especially in the study of dynamical systems and differential equations, the stable manifold theorem is an important result about the structure of the set of orbits approaching a given hyperbolic fixed point. == Stable manifold theorem == Let :$f:\; U\; \backslash subset\; \backslash mathbb^n\; \backslash to\; \backslash mathbb^n$ be a smooth map with hyperbolic fixed point at ''p''. We denote by $W^(p)$ the stable set and by $W^(p)$ the unstable set of ''p''. The theorem states that * $W^(p)$ is a smooth manifold and its tangent space has the same dimension as the stable space of the linearization of ''f'' at ''p''. * $W^(p)$ is a smooth manifold and its tangent space has the same dimension as the unstable space of the linearization of ''f'' at ''p''. Accordingly $W^(p)$ is a stable manifold and $W^(p)$ is an unstable manifold. 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「Stable manifold 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.