论文信息 - Hopf bifurcation in the Lorenz-type chaotic system

Hopf bifurcation in the Lorenz-type chaotic system

In this paper, we analyze dynamical behaviors of the Lorenz-type system via the complementary-cluster energy-barrier criterion. Moreover the Hopf bifurcation of this system is also investigated by means of the first Lyapunov coefficient. As a consequence, it is proved that this system has three Hopf bifurcation points, at which these Hopf bifurcations are nondegenerate and supercritical.

Zhenya Yan

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