Circuit design and experimental implementation of synchronization scheme between two identical unified chaotic systems

This paper aims to design and implement a circuit to acquire the synchronizm between two equivalent unified chaotic systems. The dynamical properties including Lyapunov exponents, instability of equilibria, instability of equilibria and dissipation of system are evaluated to confirm chaotic function of the unified system. Then, the electrical circuit is designed according to the equations of the chaotic system. Based on the Lyapunov stability and active control method, a controller is developed for synchronizing the first master and second slave systems. The electrical analog circuit is evolved corresponding to the whole synchronizing system. For evaluation of the effectiveness of the presented method, computer simulation is applied to the synchronizing circuit using PSpice simulation environment. Finally, the developed analog circuit is physically implemented to confirm the effectiveness of the control scheme. In physical implementation, the synchronizm between two equivalent unified chaotic systems is realized similar to the results of the simulation.

Keywords:

Unified chaotic system , Chaos synchronization , Active control method , Circuit implementation