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Edge of chaos shapes synchronization transitions and critical slowing down in coupled auditory neurons

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  • Tang, Yirui
  • Cheng, Ziyi
  • Zhou, Xiuying
  • Jiang, Long
  • Pei, Qiming
  • Yu, Dong

Abstract

Chaotic dynamics are believed to enhance neural computational capabilities, yet their impact on synchronization between functional neurons remains unclear. To investigate this, a physically realizable auditory neuron pair is proposed, in which two FitzHugh-Nagumo circuits driven by piezoelectric ceramic elements are coupled via a resistively and capacitively shunted junction channel. By modulating the amplitude and period of the external stimulus, transitions from quiescent to spiking regimes are observed, along with synchronization transitions. Mapping the synchronization error and largest Lyapunov exponent reveals an order-chaos transition, dividing the system into four regimes: synchronized-ordered, desynchronized-ordered, synchronized-chaotic, and desynchronized-chaotic, clearly separated by edge of chaos. Furthermore, a characteristic time quantifies the onset of stable desynchronization. Near the edge of chaos, this desynchronization transition time is markedly prolonged and displays pronounced peaks, indicating a clear critical slowing down effect. These findings highlight the role of chaos in regulating synchronization transitions in auditory neurons, offering a framework for chaos-mediated control in neural systems.

Suggested Citation

  • Tang, Yirui & Cheng, Ziyi & Zhou, Xiuying & Jiang, Long & Pei, Qiming & Yu, Dong, 2026. "Edge of chaos shapes synchronization transitions and critical slowing down in coupled auditory neurons," Chaos, Solitons & Fractals, Elsevier, vol. 205(C).
    • Handle: RePEc:eee:chsofr:v:205:y:2026:i:c:s0960077925018314
    DOI: 10.1016/j.chaos.2025.117817
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