Hopf Bifurcation Analysis for a Novel Hyperchaotic System

被引：5
|
作者：
Zhuang, Kejun [1 ]
机构：
[1] Anhui Univ Finance & Econ, Sch Stat & Appl Math, Inst Appl Math, Bengbu 233030, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS | 2013年 / 8卷 / 01期
关键词：
STABLE NODE-FOCI; CHAOTIC SYSTEM; ATTRACTOR; FEEDBACK; SYNCHRONIZATION; CHEN;
D O I：
10.1115/1.4006327
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
The paper mainly focuses on a novel hyperchaotic system. The local stability of equilibrium is analyzed and existence of Hopf bifurcation is established. Moreover, formulas for determining the stability and direction of bifurcating periodic solutions are derived by center manifold theorem and normal form theory. Finally, numerical simulation is given to illustrate the theoretical analysis. [DOI: 10.1115/1.4006327]
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页数：4
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