HOPF BIFURCATION ANALYSIS IN A 4D-HYPERCHAOTIC SYSTEM

被引：0
|
作者：
Kangming ZHANG School of Mathematical Sciences
Department of Science and Arts
机构：
来源：
Journal of Systems Science & Complexity | 2010年 / 23卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Chaos; Hopf bifurcation; hyperchaos; normal form; stability;
D O I：
暂无
中图分类号：
O415.5 [混沌理论];
学科分类号：
070201 ;
摘要：
This paper investigates the Hopf bifurcation of a 4-dimensional hyperchaotic system withonly one equilibrium.A detailed set of conditions are derived,which guarantee the existence of theHopf bifurcation.Furthermore,the standard normal form theory is applied to determine the directionand type of the Hopf bifurcation,and the approximate expressions of bifurcating periodic solutions andtheir periods.In addition,numerical simulations are used to justify theoretical results.
引用
收藏
页码：748 / 758
页数：11
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