Hopf Bifurcation in the Modified Hyperchaotic Lu System

被引：0
|
作者：
Zhang, Kangming [1 ]
机构：
[1] Nanchang Acad Army, Nanchang 330103, Jiangxi, Peoples R China
来源：
PROCEEDINGS OF THE 2010 INTERNATIONAL CONFERENCE ON APPLICATION OF MATHEMATICS AND PHYSICS, VOL 2: ADVANCES ON APPLIED MATHEMATICS AND COMPUTATION MATHEMATICS | 2010年
关键词：
hyperchaos; stability; Hopf bifurcation; normal form; ATTRACTORS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates the Hopf bifurcation of a 4-dimensional hyperchaotic system with only one equilibrium. A detailed set of conditions are derived, which guarantee the existence of the Hopf bifurcation. Furthermore, the direction and type of the Hopf bifurcation of the system is studied by the first Lyapunov coefficient method and precise symbolic computation. In addition, numerical simulations are used to justify theoretical results.
引用
收藏
页码：61 / 66
页数：6
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