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Zhang, Yinping; Sun, Jitao

Chaotic synchronization and anti-synchronization based on suitable separation. (English) Zbl 1209.37039

Phys. Lett., A 330, No. 6, 442-447 (2004).
Summary: Based on a suitable separation of systems, Lyapunov stability theory and matrix measure, the complete synchronization and anti-synchronization for chaotic systems is investigated. Some simple but generic criteria for the chaotic synchronization and anti-synchronization for chaotic systems are derived, along with a simple configuration by the corresponding suitable separation. Then, to apply the conditions to typical chaotic system-the original Chua’s circuit chaotic system such that synchronization and anti-synchronization are achieved.

Cited in 56 Documents

MSC:

37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
34C28 Complex behavior and chaotic systems of ordinary differential equations

Keywords:

chaos; synchronization; separation; stability criterion
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References:

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