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

Yuji Shinohara¹, Takashi Kanamaru, Hideyuki Suzuki

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.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|June 13, 2002

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.

Keywords:

nonlinear dynamics stochastic resonance neural synchronization computational neuroscience

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

Abstract:

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