Building and analysis of properties of a class of correlative and switchable hyperchaotic system

Abstract

A class of four-dimensional correlative and switchable hyperchaotic systems are built by adding an additional state, the nonlinear functions and anti-control into the three-dimensional chaotic system. Some of their basic properties are studied, such as the feature of equilibrium, the phase portraits of hyperchaotic attractor, Lyapunov exponent and the evolution of the dynamical action. The practical circuit is designed to realise these systems.