摘要
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.
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.
基金
the National Natural Science Foundation of China (No.10671105)
