Abstract This paper reports a new four-dimensional continuous autonomous hyperchaos generated from the Lorenz chaotic system by introducing a nonlinear state feedback controller. Some basic properties of the system are investigated by means of Lyapunov exponent spectrum and bifurcation diagrams. By numerical simulating, this paper verifies that the four-dimensional system can evolve into periodic, quasi-periodic, chaotic and hyperchaotic behaviours. And the new dynamical system is hyperchaotic in a large region. In comparison with other known hyperchaos, the two positive Lyapunov exponents of the new system are relatively more larger. Thus it has more complex degree.
Wang Fan-Zhen(王繁珍), Chen Zeng-Qiang(陈增强), Wu Wen-Juan(吴文娟), and Yuan Zhu-Zhi(袁著祉) A novel hyperchaos evolved from three dimensional modified Lorenz chaotic system 2007 Chinese Physics 16 3238
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