Analysis and unidirectionally coupled synchronization of a novel chaotic system

In this paper, a new three-dimensional autonomous chaotic system is proposed. By means of theoretical analysis and numerical simulation, some basic dynamical properties, such as dissipation, fractal dimension, Lyapunov exponent spectrum and chaotic dynamical behaviors of the new chaotic system are illustrated. The obtained results show clearly that this system is a new chaotic system. Furthermore, based on Lyapunov stability theory of the system, unidirectionally coupled synchronization of the new three-dimensional chaotic system through designing the appropriate coupling coefficient is investigated. Results of numerical simulation validate the accuracy and effectiveness of synchronization scheme of the presented system.