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.
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页码：309 / 317
页数：9
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