Hopf Bifurcation in the Modified Hyperchaotic Lu System

摘要：

This paper investigates the Hopf bifurcation of a 4dimensional hyperchaotie 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.

关键词： hyperchaos stability Hopfbifurcation normal form

作者: Kangming Zhang

作者单位: Nanchang Academy of Army, Jiangxi, 330103, P. R. China

会议类型: 国际会议

会议名称: 2010 International Conference on Application of Mathematics and Physics(2010国际数理科学与气象学术研讨会暨2010空间天气学研讨会 AMP2010)

会议地点: 南京

会议语种:英文

页码: 429-434

在线出版日期: 2010-05-08（万方平台首次上网日期，不代表论文的发表时间）