Chaos Control and Synchronization of a New Chaotic System

This paper introduces a new chaotic system. Some basic dynamical properties are studied, such as the equilibria, the Lyapunov exponents and the fractal dimension. Based on these properties, effective feedback controllers are proposed for stabilizing chaos to unstable equilibria. In addition, based on Lyapunov stability theory, sufficient condition for the synchronization has been analyzed theoretically for two different response systems, and compare the speed of synchronization between the drive system and two different response systems. Numerical simulations are given to show the effectiveness of these methods.