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Energy variation rate synchronization for coupled chaotic systems

Author

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  • Yao, Zhao
  • Sun, Kehui
  • He, Shaobo

Abstract

There are currently two typical principles for chaotic synchronization, the Lyapunov stability principle and the conditional Lyapunov exponent criterion. We describe an alternate chaos synchronization principle using the time derivative of the energy function. The equal energy variation leads to synchronization between two chaotic systems. We elaborate the proposed mechanism in two chaotic synchronization cases, including synchronization of two simplified Lorenz systems and the field coupling synchronization of the chaotic FitzHugh–Nagumo neuronal systems. The theoretical proof and experimental results verify the correctness of the new synchronization mechanism, and it can be applied to synchronization of other chaotic systems.

Suggested Citation

  • Yao, Zhao & Sun, Kehui & He, Shaobo, 2024. "Energy variation rate synchronization for coupled chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    • Handle: RePEc:eee:chsofr:v:184:y:2024:i:c:s0960077924005228
    DOI: 10.1016/j.chaos.2024.114970
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