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

共 4 条

[1] On Two-Dimensional Area-Preserving Diffeomorphisms with Infinitely Many Elliptic Islands
S. V. Gonchenko
L. P. Shilnikov
Journal of Statistical Physics, 2000, 101 : 321 - 356
[2] Hopf Solitons and Area-Preserving Diffeomorphisms of the Sphere
L. A. Ferreira
A. V. Razumov
Letters in Mathematical Physics, 2001, 55 : 143 - 148
[3] Hopf solitons and area-preserving diffeomorphisms of the sphere
Ferreira, LA
Razumov, AV
LETTERS IN MATHEMATICAL PHYSICS, 2001, 55 (02) : 143 - 148
[4] Symplectic Diffeomorphisms with Infinitely Many Elliptic Periodic Points
钱胜
程崇庆
Northeastern Mathematical Journal, 1999, (04) : 495 - 502

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