THE SPLITTING OF SEPARATRICES FOR ANALYTIC DIFFEOMORPHISMS

被引：80

作者：

FONTICH, E

SIMO, C

机构：

[1] UNIV POLITECN CATALUNYA, ETSEIB, DEPT MATEMAT APLICADA, BARCELONA, SPAIN

[2] UNIV BARCELONA, DEPT MATEMAT APLICADA & ANAL, BARCELONA 7, SPAIN

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 1990年 / 10卷

关键词：

D O I：

10.1017/S0143385700005563

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study families of diffeomorphisms close to the identity, which tend to it when the parameter goes to zero, and having homoclinic points. We consider the analytical case and we find that the maximum separation between the invariant manifolds, in a given region, is exponentially small with respect to the parameter. The exponent is related to the complex singularities of a flow which is taken as an unperturbed problem. Finally several examples are given. © 1990, Cambridge University Press. All rights reserved.

引用

页码：295 / 318

页数：24

共 18 条

[1] APPLICABILITY OF THIRD INTEGRAL OF MOTION [J].