Analysis and implementation of a new hyperchaotic system

Based on a modified Lorenz system, a relatively simplefour-dimensional continuous autonomous hyperchaotic system isproposed by introducing a state feedback controller. The systemconsists of four coupled first-order ordinary differential equationswith three nonlinear cross-product terms. Some dynamical propertiesof this hyperchaotic system, including equlibria, stability, Lyapunovexponent spectrum and bifurcation, are analysed in detail. Moreover,an electronic circuit diagram is designed for demonstrating theexistence of the hyperchaos, and verifying computer simulationresults.