HX-Type Hyperchaotic Hyperjerk System Based on a Class of Hyperjerk Systems

HX equations is a fuzzy model of dynamic systems based on fuzzy inference. HX-type chaotic(hyperchaotic) system is HX equations which shows the chaotic (hyperchaotic) dynamics. A hyperjerk system is a dynamical system, which is described by an 4-D or more high dimensions ordinary differential equations. In this paper, we investigate the HX-type hyperchaotic systems about a class of hyperchaotic hyperjerks. We consider the equilibrium points, the Lyapunov exponents and the Lyapunov dimension of the HX-type hyperchaotic systems. Numerical analysis illustrate the existence of such systems.