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Hidden dynamical transitions and firing patterns in a memristive Wilson circuit

Author

Listed:
  • Xu, Quan
  • Wang, Miaoru
  • Wang, Ning
  • Wu, Huagan
  • Lin, Yuan
  • Chen, Mo

Abstract

Memristive bionic circuit can reproduce biological firing patterns in the hardware level and assist applications of firing patterns in engineering. This paper builds a memristive Wilson (m-Wilson) circuit with memristive electromagnetic induction (EI) and ion channels. The m-Wilson circuit has no equilibrium point or a line equilibrium point set with its stability very related to the memristor initial state for characterizing EI, since the memristor is an ideal one. Numerical simulations and hardware measurements demonstrate that the m-Wilson circuit can generate hidden dynamical transitions of forward and reverse period-doubling bifurcation routes, chaos crisis, and tangent bifurcations related to the K+ channel parameters and coupling parameters of the memristive EI, which induce the generation of hidden firing patterns of periodic and chaotic spiking activities.

Suggested Citation

  • Xu, Quan & Wang, Miaoru & Wang, Ning & Wu, Huagan & Lin, Yuan & Chen, Mo, 2026. "Hidden dynamical transitions and firing patterns in a memristive Wilson circuit," Chaos, Solitons & Fractals, Elsevier, vol. 205(C).
    • Handle: RePEc:eee:chsofr:v:205:y:2026:i:c:s0960077925018375
    DOI: 10.1016/j.chaos.2025.117823
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