Hopf Bifurcation Analysis and Circuit Simulation of a New Chen Hyper-Chaotic System

In this paper, a new hyper-chaotic system is generated by introducing a state variable into Chen system. This system contains five system parameters and two cross-product terms, can generate hyper-chaotic attractors with proper parameters regions. The theoretical analysis demonstrates that a Hopf bifurcation arises at zero equilibrium point. The basic dynamic properties of the proposed system are investigated via Lyapunov exponents spectrum and bifurcation diagram. Finally, the hyper-chaotic circuit is designed and realized by using the Multisim software, which confirms that the proposed system can be achieved.