Abstract

In this paper, a four dimensional (4D) hyperchaotic system is described, and this system contains four parameters. To analyze the complicated dynamic behavior of the 4D system, we drawn the 4D system’s bifurcation diagram, phase diagram, Lyapunov exponent diagram and others. by MATLAB. Theoretical analysis shown that the 4D system exists periodic, chaotic and hyperchaotic behaviors with parameter changes. In particular, within a certain range and error, the four Lyapunov indices of parameter c remain substantially constant and it has two Lyapunov indices greater than zero. Therefore, the hyperchaotic characteristics of the system are more obvious. Finally, a hyperchaotic circuit based on analog circuit is designed. Experimental results and numerical simulation results show that the new system has complex dynamic behavior.

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