A novel hyperchaos evolved from three dimensional modified Lorenz chaotic system

This paper reports a new four-dimensional continuous autonomous hyperchaos generated from the Lorenz chaoticsystem by introducing a nonlinear state feedback controller. Some basic properties of the system are investigated bymeans of Lyapunov exponent spectrum and bifurcation diagrams. By numerical simulating, this paper verifies thatthe four-dimensional system can evolve into periodic, quasi-periodic, chaotic and hyperchaotic behaviours. And thenew dynamical system is hyperchaotic in a large region. In comparison with other known hyperchaos, the two positiveLyapunov exponents of the new system are relatively more larger. Thus it has more complex degree.