2016•2016 IEEE Information Technology, Networking, Electronic and Automation Control ConferenceRequires access

Bifurcation analysis in an autonomous chaotic system

Wenju Du, Zhang Jiangang, Shuang Qin

Abstract

We investigated an autonomous chaotic system in detail by varying three control parameters. More precisely, the dynamical behavior of this system is further studied, including equilibrium points and stability, various attractors, bifurcations, and Lyapunov-exponent spectrum by means of nonlinear dynamics theory. The existence of Hopf bifurcation is investigated by choosing the appropriate bifurcation parameter. Finally, numerical simulation is given to illustrate the theoretical analysis.

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Key concepts: Lyapunov exponent, Attractor, Biological applications of bifurcation theory, Bifurcation, Chaotic, Hopf bifurcation, Saddle-node bifurcation, Control theory (sociology)