TU Jin-zhong
Abstract
A 3D chaotic system is analyzed dynamical behaviors via the complementary-cluster energy-barrier criterion(CCEBC).Moreover the Hopf bifurcation of this system is also investigated by using of the first Lyapunov coefficient.Finally,the system presents a Hopf bifurcation which is subcritical or supercritical in different intervals.
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A 3D chaotic system is analyzed dynamical behaviors via the complementary-cluster energy-barrier criterion(CCEBC).Moreover the Hopf bifurcation of this system is also investigated by using of the first Lyapunov coefficient.Finally,the system presents a Hopf bifurcation which is subcritical or supercritical in different intervals.
Key concepts: Hopf bifurcation, Chaotic, Saddle-node bifurcation, Mathematics, Bifurcation, Bifurcation diagram, Bogdanov–Takens bifurcation, Lyapunov exponent