TOPOLOGY AND HOMOCLINIC TRAJECTORIES OF DISCRETE DYNAMICAL SYSTEMS

被引：3

作者：

Pejsachowicz, Jacobo ^{[1
]}

Skiba, Robert ^{[2
]}

机构：

[1] Politecn Torino, Dipartamento Matemat, I-10129 Turin, Italy

[2] Nicholas Copernicus Univ, Fac Math & Comp Sci, PL-87100 Torun, Poland

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2013年 / 6卷 / 04期

关键词：

Discrete dynamical systems; homoclinics; bifurcation; index bundle; fredholm maps; NONAUTONOMOUS BIFURCATION; INDEX;

D O I：

10.3934/dcdss.2013.6.1077

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that nontrivial homoclinic trajectories of a family of discrete, nonautonomous, asymptotically hyperbolic systems parametrized by a circle bifurcate from a stationary solution if the asymptotic stable bundles E-s (+infinity) and E-s (-infinity) of the linearization at the stationary branch are twisted in different ways.

引用

页码：1077 / 1094

页数：18

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