A hyperchaotic hyperjerk system with four nonlinearities, its dynamical analysis and circuit realization

Abstract

A new four-dimensional hyperchaotic hyperjerk system with four nonlinearities is proposed in this paper. The dynamical properties of the new hyperjerk system are described in terms of phase portraits, Lyapunov exponents, Kaplan-Yorke dimension, dissipativity, etc. Also, a detailed dynamical analysis of the new hyperjerk system has been carried out with bifurcation diagram and Lyapunov exponents. As an engineering application, an electronic circuit realization of the new hyperchaotic hyperjerk system is designed via MultiSIM to confirm the feasibility of the theoretical hyperchaotic hyperjerk model.