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Transmission delay induced criticality in spiking neuronal networks and its filtering effect

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Listed:
  • Wei, Linfeng
  • Liu, Shasha
  • Kang, Yanmei
  • Xu, Ziheng

Abstract

The aim of this paper is to disclose whether the transmission delay can induce criticality using globally coupled spiking neuronal network with delayed feedback. First, the evolutionary equation for the averaged membrane potential is achieved under mean-field approximation. And then the Hopf bifurcation of the mean-field model is acquired by means of central manifold theorem and norm form theory. With bifurcation analysis of the mean-field model as guide, seeking the criticality of the large-scale finite sized network is facilitated. Across the criticality it is found that the population activities of the network undergoes a phase transition from less ordered spiking into more ordered spiking. Furthermore, an enhanced response which resembles the phenomenon of aperiodic stochastic resonance is observed, where the optimal value of the transmission delay is found nearly the same as its critical value. Finally, the functional role of the neuronal network at the critical state is revealed by a biologically inspired image denoising procedure.

Suggested Citation

  • Wei, Linfeng & Liu, Shasha & Kang, Yanmei & Xu, Ziheng, 2026. "Transmission delay induced criticality in spiking neuronal networks and its filtering effect," Chaos, Solitons & Fractals, Elsevier, vol. 202(P1).
    • Handle: RePEc:eee:chsofr:v:202:y:2026:i:p1:s0960077925014663
    DOI: 10.1016/j.chaos.2025.117453
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    References listed on IDEAS

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