Array-enhanced coherence resonance and forced dynamics in coupled FitzHugh-Nagumo neurons with noise

Yuji Shinohara, Takashi Kanamaru, Hideyuki Suzuki, Takehiko Horita, and Kazuyuki Aihara
Phys. Rev. E 65, 051906 – Published 6 May 2002
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Abstract

Nonlinear dynamics of coupled FitzHugh-Nagumo neurons subject to independent noise is analyzed. A kind of self-sustained global oscillation with almost synchronous firing is generated by array-enhanced coherence resonance. Further, forced dynamics of the self-sustained global oscillation stimulated by sinusoidal input is analyzed and classified as synchronized, quasiperiodic, and chaotic responses just like the forced oscillations in nerve membranes observed by in vitro experiments with squid giant axons. Possible physiological importance of such forced oscillations is also discussed.

  • Received 13 August 2001

DOI:https://doi.org/10.1103/PhysRevE.65.051906

©2002 American Physical Society

Authors & Affiliations

Yuji Shinohara1, Takashi Kanamaru2, Hideyuki Suzuki1, Takehiko Horita1, and Kazuyuki Aihara1,3

  • 1Department of Mathematical Engineering and Information Physics, Graduate School of Engineering, The University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-8656, Japan
  • 2Department of Electrical and Electronic Engineering, Tokyo University of Agriculture and Technology, Tokyo 184-8588, Japan
  • 3CREST, Japan Science and Technology Corporation (JST), 4-1-8 Hon-cho, Kawaguchi, Saitama 332-0012, Japan

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Issue

Vol. 65, Iss. 5 — May 2002

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