Adaptive anti-synchronization of chaotic complex systems and chaotic real systems with unknown parameters. (July 2016)

• Record Type: Journal Article
• Authors: Sun, Junwei; Shen, Yi
• Is Part Of: Journal of vibration and control. Volume 22:Number 13(2016)
• Page Start: 2992
• Page End: 3003
• Publication Date: 2016-07
• Subjects: Anti-synchronization -- chaotic complex system -- chaotic real system; Vibration -- Periodicals; Damping (Mechanics) -- Periodicals; 620.3
• DOI: 10.1177/1077546314557852
• Languages: English
• ISSNs: 1077-5463

Abstract

In this paper, we investigate the anti-synchronization between a class of chaotic real nonlinear systems and a class of chaotic complex nonlinear systems with fully uncertain parameters. According to Lyapunov stability theory, an adaptive control scheme and adaptive laws of parameters have been designed to realize the anti-synchronization between a class of chaotic real nonlinear systems and a class of chaotic complex nonlinear systems with different initial conditions. The anti-synchronization between the real Lorenz system and the complex Lorenz system, the real Chen system and the complex Lü system are presented as two examples to demonstrate the validity and feasibility of the presented control technique.