HOPF BIFURCATION ANALYSIS OF A 3D CHAOTIC SYSTEM
In this paper, a 3D chaotic system with multi- parameters is introduced. The dynamical systems of the original ADVP circuit and the modified ADVP model are regarded as special examples to the system. Some basic dynamical behaviors such as the stability of equilibria, the existence of Hopf bifurcation are investigated. We analyse the Hopf bifurcation of the system comprehensively using the first Lyapunov coefficient by precise symbolic computation. As a result, in fact we have studied the further dynamical behaviors.
Van der Pol-Duffing circuit Chaos Hopf bifurcation
Zhang Kangming
School of Math. Sciences, South China University of Technology, Guangzhou 510640)
国际会议
广州
英文
570-574
2007-12-09（万方平台首次上网日期，不代表论文的发表时间）