Bifurcation analysis in an autonomous chaotic system

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.