Hopf bifurcation in the Lorenz-type chaotic system

Zhenya Yan

Chaos, Solitons & Fractals, 2007, vol. 31, issue 5, 1135-1142

Abstract: 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.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:31:y:2007:i:5:p:1135-1142

DOI: 10.1016/j.chaos.2005.03.036

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