A class of associated chaotic system, its switching and internal synchronization mechanism

Abstract

A novel class of the associated chaotic systems with switching and synchronization features is proposed in this paper. The system can be switched between the same-dimensional systems, can also be switched between different-dimensional systems, when the system is switched to a four-dimensional system, the synchronization between the system variables can be realized. Basic dynamic properties and the internal synchronization mechanism of the new system are investigated via theoretical analysis, numerical simulation, Lyapunov dimension and Lyapunov exponent spectrum. Finally, the hardware for circuit of the switching chaotic system is designed and realized by using Multisim software; the chaotic system and its synchronization characteristics are simulated and achieved at the same time. The numerical simulation and circuit simulation confirm that the switching chaotic system can be realized physically, and the system has shown rich dynamic properties.