Hopf bifurcation analysis and numerical simulation in a 4D-hyoerchaotic system

被引：17

作者：

Li Feng ^{[1
]}

Jin Yinlai ^{[1
]}

机构：

[1] Linyi Univ, Sch Math, Linyi 276005, Shandong, Peoples R China

来源：

NONLINEAR DYNAMICS | 2012年 / 67卷 / 04期

关键词：

New Lorenz-type system; Hopf bifurcation; Chaos; Normal form; CHAOTIC ATTRACTOR; CANONICAL FORM; HYPERCHAOS; SYNCHRONIZATION; DYNAMICS; EQUATION;

D O I：

10.1007/s11071-011-0194-0

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper investigates the Hopf bifurcation of a four-dimensional hyperchaotic system with only one equilibrium. A detailed set of conditions is derived which guarantees the existence of the Hopf bifurcation. Furthermore, the standard normal form theory is applied to determine the direction and type of the Hopf bifurcation, and the approximate expressions of bifurcating periodic solutions and their periods. In addition, numerical simulations are used to justify theoretical results.

引用

页码：2857 / 2864

页数：8

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