On two-dimensional area-preserving diffeomorphisms with infinitely many elliptic islands

被引：23

作者：

Gonchenko, SV ^{[1
]}

Shilnikov, LP ^{[1
]}

机构：

[1] Inst Appl Math & Cyb, Nizhnii Novgorod 603005, Russia

来源：

JOURNAL OF STATISTICAL PHYSICS | 2000年 / 101卷 / 1-2期

关键词：

area-preserving diffeomorphisms; structurally unstable heteroclinic cycle; elliptic periodic point; elliptic island; the conservative Henon map;

D O I：

10.1023/A:1026418323000

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider two-parameter families of C-r-smooth, r greater than or equal to 6, two-dimensional are a preserving diffeomorphisms that have structurally unstable simplest heteroclinic cycles. We find the conditions when diffeomorphisms under consideration possess infinitely many periodic generic elliptic points and elliptic islands.

引用

页码：321 / 356

页数：36

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