Guojun Peng
Abstract
This paper analyzes the state of Hopf bifurcation in a chaotic system,judge the direction of the bifurcation by calculating the first Lyapunov coefficient,and then briefly discuss some corresponding dynamic system behaviors.
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This paper analyzes the state of Hopf bifurcation in a chaotic system,judge the direction of the bifurcation by calculating the first Lyapunov coefficient,and then briefly discuss some corresponding dynamic system behaviors.
Key concepts: Hopf bifurcation, Chaotic, Bogdanov–Takens bifurcation, Pitchfork bifurcation, Saddle-node bifurcation, Biological applications of bifurcation theory, Bifurcation diagram, Bifurcation