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文章基本信息

  • 标题:Global Existence of Periodic Solutions in a Nonlinear Delay-Coupling Chaos System
  • 本地全文:下载
  • 作者:Yanqiu Li ; Jihua Yang ; Feng Rao
  • 期刊名称:American Journal of Computational Mathematics
  • 印刷版ISSN:2161-1203
  • 电子版ISSN:2161-1211
  • 出版年度:2016
  • 卷号:06
  • 期号:01
  • 页码:23-31
  • DOI:10.4236/ajcm.2016.61003
  • 语种:English
  • 出版社:Scientific Research Publishing
  • 摘要:The dynamics of a unidirectional nonlinear delayed-coupling chaos system is investigated. Based on the local Hopf bifurcation at the zero equilibrium, we prove the global existence of periodic solutions using a global Hopf bifurcation result due to Wu and a Bendixson’s criterion for higher dimensional ordinary differential equations due to Li & Muldowney.
  • 关键词:Unidirectional Delayed-Coupling;Chaos System;Hopf Bifurcation;Periodic Solution
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