Two-mode chaos and its synchronization properties

Two-mode chaos and its synchronization properties.

Using a simple model with bimodal dynamics, we investigate the intra- and inter-system entrainment of the two different time scales involved in the chaotic oscillations. The transition between mode-locked and mode-unlocked chaos is analyzed for a single system. For coupled oscillators, we demonstrate full and partial synchronization patterns depending on the adjustment between the fast and slow...

Chaos Synchronization Using Sliding Mode Technique

In this paper, an effective sliding mode design is applied to chaos synchronization. The proposed controller can make the states of two identical modified Chua’s circuits globally asymptotically synchronized. Numerical results are provided to show the effectiveness and robustness of the proposed method. Keywords—Sliding mode, Chaos synchronization, Modified Chua’s circuit.

Complex Emergent Properties and Chaos (De)synchronization

Global Chaos Synchronization of Pan Systems by Sliding Mode Control

This paper investigates the global chaos synchronization of identical Pan systems (Pan, Xu and Zhou, 2010) by sliding mode control. The stability results derived in this paper for the complete synchronization of identical Pan systems are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the sliding mode control method is very effe...

Design of Fuzzy Sliding-Mode Controller for Chaos Synchronization

This paper presents a fuzzy controller to solve a master-slave chaos synchronization problem. At first, the method of traditional sliding mode control is considered, which utilizes the discontinuous sign function to make the system state reaching a sliding surface. Next, fuzzy rules are determined according to the Lyapunov theorem, and the fuzzy controller is designed for chaos synchronization....