Quasi-periodic bifurcations of invariant circles in low-dimensional dissipative dynamical systems

被引：0
作者：
Renato Vitolo
Henk Broer
Carles Simó
机构：
[1] University of Exeter,College of Engineering, Mathematics and Physical Sciences
[2] Harrison Building,Johann Bernoulli Institute for Mathematics and Computer Science
[3] University of Groningen,Departament de Matemàtica Aplicada i Anàlisi
[4] Universitat de Barcelona,undefined
来源：
Regular and Chaotic Dynamics | 2011年 / 16卷
关键词：
bifurcations; invariant tori; resonances; KAM theory; 37M20; 37C55; 37G30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper first summarizes the theory of quasi-periodic bifurcations for dissipative dynamical systems. Then it presents algorithms for the computation and continuation of invariant circles and of their bifurcations. Finally several applications are given for quasiperiodic bifurcations of Hopf, saddle-node and period-doubling type.
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页码：154 / 184
页数：30
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