TRANSVERSAL HOMOCLINIC POINTS OF A CLASS OF CONSERVATIVE DIFFEOMORPHISMS

被引：25

作者：

FONTICH, E ^{[1
]}

机构：

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

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1990年 / 87卷 / 01期

关键词：

D O I：

10.1016/0022-0396(90)90012-E

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop a global graph transformation to obtain estimates for certain invariant manifolds of a class of area preserving diffeomorphisms with symmetries. The existence of homoclinic or heteroclinic points and the analyticity of the angle between the invariant manifolds at them is proved for the Hénon and the standard maps. A lower bound of this angle is given for a large set of values of the parameters. © 1990.

引用

页码：1 / 27

页数：27

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