Dynamics near nonhyperbolic fixed points or nontransverse homoclinic points

被引：0
|
作者：
Kryzhevich, Sergey [1 ]
机构：
[1] St Petersburg State Univ, Fac Math & Mech, St Petersburg 198503, Russia
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2014年 / 95卷
关键词：
Partial hyperbolicity; Center unstable manifold; Homoclinic point; Chaos; PERIODIC POINTS; LYAPUNOV FUNCTIONS; SYSTEMS; ORBITS; BIFURCATIONS; PERSISTENCE; STABILITY;
D O I：
10.1016/j.matcom.2012.07.007
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We study dynamics in a neighborhood of a nonhyperbolic fixed point or an irreducible homoclinic tangent point. General type conditions for the existence of infinite sets of periodic points are obtained. A new method, based on the study of the dynamics of center disks, is introduced. (C) 2012 IMACS. Published by Elsevier B.V. All rights reserved.
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页码：163 / 179
页数：17
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