A No-Equilibrium Multi-wing Hyperchaotic System with Two Positive Lyapunov Exponents

Abstract

It is well known that a large number of chaotic and hyperchaotic systems that exhibited research and application prospect in wireless multimedia sensor networks have been discovered successively. This paper proposes a novel noequilibrium hyperchaotic system composed of multi-wing attractors with two positive Lyapunov exponents by means of quadratic function control. It is noteworthy that hidden hyperchaotic attractors can be generated from this noequilibrium system. No-equilibrium analysis of multi-wing hyperchaotic system are also analyzed. Furthermore, by the symmetry conversion with respect to z -axis, intended grid m n -wing hyperchaotic system has been obtained. Finally, electronic circuits of the proposed system are designed for realizing hyperchaotic grid multi-wing attractors, which verifies the feasibility of the theoretical model.