Covering relations, cone conditions and the stable manifold theorem

被引：56

作者：

Zgliczynski, Piotr ^{[1
]}

机构：

[1] Jagiellonian Univ, Inst Comp Sci, PL-30348 Krakow, Poland

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2009年 / 246卷 / 05期

关键词：

Invariant manifold; Hyperbolicity; Covering relation; Cone condition; Lyapunov function; COMPUTER-ASSISTED PROOF; TOPOLOGICAL-ENTROPY; PERIODIC-ORBITS; FIXED-POINTS; MULTIDIMENSIONAL PERTURBATIONS; HETEROCLINIC CONNECTIONS; RIGOROUS VERIFICATION; SYMBOLIC DYNAMICS; MICHELSON SYSTEM; CHAOS;

D O I：

10.1016/j.jde.2008.12.019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show how to effectively link covering relations with cone conditions. We give a new, 'geometric,' proof of the stable manifold theorem for hyperbolic fixed point of a map. (c) 2009 Elsevier Inc. All rights reserved.

引用

收藏

页码：1774 / 1819

页数：46

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