Abstract: In order to generate complex hyperchaotic attractor,a new four-dimensional hyperchaotic system based on a three-dimensional chaotic system is built.The phase diagram, time response, power spectrum,bifurcation diagram and Lyapunov exponents spectrum diagram and fractal dimension of the system are analyzed by means of nonlinear techniques.Results show this system is a new four-dimensional hyperchaotic system with two positive Lyapunov exponents when its parameters satisfy certain conditions.The new system’s complex dynamical behavior can be periodic,complex periodic,quasi-periodic,chaotic and hyperchaotic as the parameter varies.

Key words: hyperchaotic system, phase diagram, bifurcation diagram, Lyapunov exponents spectrum diagram