Nonlinear Dynamics

, Volume 94, Issue 1, pp 141–150 | Cite as

Coherence resonance in an autaptic Hodgkin–Huxley neuron with time delay

  • Xinlin Song
  • Hengtong Wang
  • Yong Chen
Original Paper


Autapses, synapses between a neuron and itself, are believed to serve as a regulator of information processing in the nervous system. Noise, as random or unpredictable fluctuations, affects nearly all aspects of nervous function. In this work, we studied the regulatory ability of an autapse on firing behaviors of a Hodgkin–Huxley neuron in response to synaptic-like signals in the presence of noise. For weak subthreshold synaptic input, the autaptic neuron produced the similar firing behavior governed by the noise in case of either determinate or random synaptic input. The critical noise intensity necessary to trigger the spike train slightly was decreased with determinate low-frequency input. Under a strong suprathreshold synaptic current, noise-induced frequency resonance and precise responses mostly occured with a high-frequency determinate input. With a random strong synaptic input, an increase in the autaptic delay led to a resonance-like response, but had no observable effects in cases with a short delay time under a low-frequency input.


Coherence resonance Autapse Neuron Time delay Entropy 



This work was supported by the National Natural Science Foundation of China with Grant Nos. 11675008, 21434001 and 11447027. HTW acknowledges in addition supports from the Fundamental Research Funds for the Central Universities with Grant No. GK201503025 and Natural Science Basic Research Plan in Shaanxi Province of China with Grant No. 2016JQ1037.

Compliance with ethical standards

Conflict of interests

All the authors declare that there are no any conflict with the publication of this work.


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Authors and Affiliations

  1. 1.Center of Soft Matter Physics and Its ApplicationsBeihang UniversityBeijingChina
  2. 2.School of Physics and Nuclear Energy EngineeringBeihang UniversityBeijingChina
  3. 3.School of Physics and Information TechnologyShaanxi Normal UniversityXi’anChina

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