文章基本信息

标题：Global Existence of Periodic Solutions in a Nonlinear Delay-Coupling Chaos System
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作者：Yanqiu Li ; Jihua Yang ; Feng Rao 等
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