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Zbl 1097.94037
Li, Chuandong; Liao, Xiaofeng
Anti-synchronization of a class of coupled chaotic systems via linear feedback control. (English)
[J] Int. J. Bifurcation Chaos Appl. Sci. Eng. 16, No. 4, 1041-1047 (2006). ISSN 0218-1274

Summary: As a special case of generalized synchronization, chaos anti-synchronization can be characterized by the vanishing of the sum of relevant variables. In this paper, based on Lyapunov stability theorem for ordinary differential equations, several sufficient conditions for guaranteeing the existence of anti-synchronization in a class of coupled identical chaotic systems via linear feedback or adaptive linear feedback methods are derived. Chua's circuit is presented as an example to demonstrate the effectiveness of the proposed approach by computer simulations.

MSC 2000:: *94C05 Analytic circuit theory
93D05 Lyapunov and other classical stabilities of control systems
34D20 Lyapunov stability of ODE
37B25 Lyapunov functions and stability
37N35 Dynamical systems in control

Keywords: chaos; synchronization; anti-synchronization; adaptive control; Chua's circuit

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