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On Hopf bifurcation of Liu chaotic system
Journal article   Open access  Peer reviewed

On Hopf bifurcation of Liu chaotic system

M. T. Yassen, M. M. El-Dessoky, E. Saleh and E. S. Aly
Demonstratio mathematica, Vol.46(1), pp.111-122
01/03/2013
DOI: https://doi.org/10.1515/dema-2013-0426

Abstract

37D45 37G15 37G35 37H20 complementary-cluster energy-barrier criterion Hopf bifurcation Liu system Lyapunov coefficient
In this paper, we analyze the dynamical behaviors of Liu system using the complementary-cluster energy-barrier criterion (CCEBC). Moreover, the Hopf bifurcation of this system is investigated using the first Lyapunov coefficient. Also, it is proved that this system has two Hopf bifurcation points, at which these Hopf bifurcations are non degenerate and subcritical.
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https://doi.org/10.1515/dema-2013-0426View
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