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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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    References listed on IDEAS

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    1. Zhu, Wanting & Sun, Kehui & He, Shaobo & Wang, Huihai & Liu, Wenhao, 2023. "A class of m-dimension grid multi-cavity hyperchaotic maps and its application," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    2. Ma, Jun, 2024. "Energy function for some maps and nonlinear oscillators," Applied Mathematics and Computation, Elsevier, vol. 463(C).
    3. Yao, Zhao & Sun, Kehui & Wang, Huihai, 2024. "Collective behaviors of fractional-order FithzHugh–Nagumo network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 639(C).
    4. Kumiko Yoshioka-Kobayashi & Marina Matsumiya & Yusuke Niino & Akihiro Isomura & Hiroshi Kori & Atsushi Miyawaki & Ryoichiro Kageyama, 2020. "Coupling delay controls synchronized oscillation in the segmentation clock," Nature, Nature, vol. 580(7801), pages 119-123, April.
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