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Global synchronization criterion and adaptive synchronization for new chaotic system. (English) Zbl 1086.37512
Summary: This paper proposes two schemes of synchronization of two four-scroll chaotic attractor, a simple global synchronization and adaptive synchronization in the presence of unknown system parameters. Based on Lyapunov stability theory and matrix measure, a simple generic criterion is derived for global synchronization of four-scroll chaotic attractor system with a unidirectional linear error feedback coupling. These methods are applicable to a large class of chaotic systems where only a few algebraic inequalities are involved. Numerical simulations are presented to show the effectiveness of the proposed chaos synchronization method.

37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
93D21 Adaptive or robust stabilization
93D15 Stabilization of systems by feedback
Full Text: DOI
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