Persistent homoclinic tangencies for conservative maps near the identity

被引：22

作者：

Duarte, P ^{[1
]}

机构：

[1] Univ Tecn Lisboa, Dept Matemat, Inst Super Tecn, P-1096 Lisbon, Portugal

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2000年 / 20卷

关键词：

D O I：

10.1017/S0143385700000195

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For families of conservative maps near the identity we prove the existence of open sets of parameters with persistence of homoclinic tangencies between stable and unstable leaves of 'thick' horse-shoes. Such families are obtained, for instance, by perturbing integrable Hamiltonian systems in R-2 with a rapidly periodic oscillatory term and then performing a slowing change in the time variable.

引用

页码：393 / 438

页数：46

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