Document Zbl 1133.37313

Synchronization and anti-synchronization for chaotic systems. (English) Zbl 1133.37313

Chaos Solitons Fractals 33, No. 3, 929-939 (2007).

Summary: Based on a suitable separation method, combined with the Lyapunov stability and the matrix measure theory, the complete synchronization and anti-synchronization for chaotic systems are investigated. Several sufficient conditions and some necessary and sufficient conditions are obtained, respectively. It is proved that these criteria not only are easily verified, but also improve and generalize previously known results, since an adjustable nonsingular matrix is given. They are of great significance in the design and applications of synchronization and anti-synchronization of chaotic systems. Two examples are given to show the effectiveness of the proposed method.

Cited in 19 Documents

MSC:

37D45	Strange attractors, chaotic dynamics of systems with hyperbolic behavior
34D05	Asymptotic properties of solutions to ordinary differential equations
37N35	Dynamical systems in control
93C10	Nonlinear systems in control theory
93D21	Adaptive or robust stabilization

Keywords:

decomposition of chaotic systems; chaotic synchronization; Lyapunov stability

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References:

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