Generation of Hyperchaotic Chua System via State Feedback Control

Abstract

This paper constructs a 4-D hyper chaotic Chua system via state feedback control, based on 3-D Chua system with both piecewise-linear and smooth cubic nonlinearity. Dynamical behaviors of this hyper chaotic system are further investigated, including Lyapunov exponents spectrum, bifurcation diagram and solution of equations. Numerical results show this system can generate hyper chaotic multi-scroll attractors.