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Synchronicity and energy evolution of field-coupled Chua's circuits via parallel inductor-capacitor coupling channel

Author

Listed:
  • Li, Zezhong
  • Xue, Wanqi
  • Xu, Quan
  • Wu, Huagan
  • Chen, Mo

Abstract

Field coupling implemented via combined functional elements of capacitor, inductor, and memristor could provide additional energy circulation paths and is expected to make the coupling channel more effective and controllable. To elucidate synchronicity and energy evolution governed by this field coupling scheme, two memristive Chua's circuits are coupled using a parallel inductor-capacitor channel. Numerical simulations are performed to uncover the synchronization dynamics induced by single inductor/capacitor and parallel inductor-capacitor channels and compare their synchronous characteristics. The dimensionless energy functions for the sub-circuits and coupling channel are derived from their physical field energy, based on which the energy flows under asynchronous, reverse synchronization, or lag synchronization states are numerically discussed. Especially, under the regulation of coupling inductor's initial value, the synchronization dynamics are flexibly adjusted by the memristor initial conditions. Finally, LTspice-based circuit simulations are performed to verify the numerical findings. The obtained results can deepen the understanding of field coupling and enrich the implementation schemes of chaos synchronization.

Suggested Citation

  • Li, Zezhong & Xue, Wanqi & Xu, Quan & Wu, Huagan & Chen, Mo, 2025. "Synchronicity and energy evolution of field-coupled Chua's circuits via parallel inductor-capacitor coupling channel," Chaos, Solitons & Fractals, Elsevier, vol. 197(C).
    • Handle: RePEc:eee:chsofr:v:197:y:2025:i:c:s0960077925005582
    DOI: 10.1016/j.chaos.2025.116545
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