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Chaotic synchronization and anti-synchronization based on suitable separation. (English) Zbl 1209.37039
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.
MSC:
37D45Strange attractors, chaotic dynamics
34C28Complex behavior, chaotic systems (ODE)