Kybernetika 49 no. 6, 935-947, 2013

Degenerate Hopf bifurcations and the formation mechanism of chaos in the Qi 3-D four-wing chaotic system

Hongtao Liang, Yanxia Tang, Li Li, Zhouchao Wei and Zhen Wang

Abstract:

In order to further understand a complex 3-D dynamical system proposed by Qi et al, showing four-wing chaotic attractors with very complicated topological structures over a large range of parameters, we study degenerate Hopf bifurcations in the system. It exhibits the result of a period-doubling cascade to chaos from a Hopf bifurcation point. The theoretical analysis and simulations demonstrate the rich dynamics of the system.

Keywords:

Lyapunov coefficient, four-wing chaotic attractors, degenerate Hopf bifurcations, period-doubling cascade

Classification:

34H10, 34H20

paper.pdf

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