Diffeomorphisms of the plane with stable periodic points

被引：4

作者：

Vasil'eva, E. V. ^{[1
]}

机构：

[1] St Petersburg State Univ, St Petersburg, Russia

来源：

DIFFERENTIAL EQUATIONS | 2012年 / 48卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

SYSTEMS;

D O I：

10.1134/S0012266112030019

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider self-diffeomorphisms of the plane with a hyperbolic fixed point and a nontransversal homoclinic point. We show that a neighborhood of the homoclinic point may contain countably many stable periodic sets whose characteristic exponents are bounded away from zero.

引用

页码：309 / 317

页数：9

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