翻訳と辞書 Words near each other ・ Hyperbaton ・ Hyperbits ・ Hyperbius ・ HyperBlade ・ Hyperbola ・ Hyperbole ・ Hyperbole and a Half ・ Hyperbolic ・ Hyperbolic 3-manifold ・ Hyperbolic absolute risk aversion ・ Hyperbolic angle ・ Hyperbolic coordinates ・ Hyperbolic Dehn surgery ・ Hyperbolic discounting ・ Hyperbolic distribution ・ Hyperbolic equilibrium point ・ Hyperbolic function ・ Hyperbolic geometric graph ・ Hyperbolic geometry ・ Hyperbolic group ・ Hyperbolic growth ・ Hyperbolic law of cosines ・ Hyperbolic link ・ Hyperbolic manifold ・ Hyperbolic motion ・ Hyperbolic motion (relativity) ・ Hyperbolic navigation ・ Hyperbolic orthogonality ・ Hyperbolic partial differential equation ・ Hyperbolic plane (disambiguation) Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Hyperbolic equilibrium point ： ウィキペディア英語版 Hyperbolic equilibrium point In the study of dynamical systems, a hyperbolic equilibrium point or hyperbolic fixed point is a fixed point that does not have any center manifolds. Near a hyperbolic point the orbits of a two-dimensional, non-dissipative system resemble hyperbolas. This fails to hold in general. Strogatz notes that "hyperbolic is an unfortunate name – it sounds like it should mean 'saddle point' – but it has become standard." Several properties hold about a neighborhood of a hyperbolic point, notably * A stable manifold and an unstable manifold exist, * Shadowing occurs, * The dynamics on the invariant set can be represented via symbolic dynamics, * A natural measure can be defined, * The system is structurally stable. == Maps == If ''T'' : R''n'' → R''n'' is a ''C''1 map and ''p'' is a fixed point then ''p'' is said to be a hyperbolic fixed point when the Jacobian matrix ''DT''(''p'') has no eigenvalues on the unit circle. One example of a map that its only fixed point is hyperbolic is the Arnold Map or cat map: : Since the eigenvalues are given by :$\backslash lambda\_=\backslash frac>1$ : 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「Hyperbolic equilibrium point」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.