• DocumentCode
    2149105
  • Title

    Stochastic dynamics of FitzHugh-Nagumo model near the canard explosion

  • Author

    Shishkin, A. ; Postnov, D.

  • Author_Institution
    Saratov State Univ., Russia
  • Volume
    2
  • fYear
    2003
  • fDate
    20-22 Aug. 2003
  • Firstpage
    649
  • Abstract
    The subject of our study is FutzHugh-Nagumo model driven by additive noise in the region of transition from excitable regime to continuous spiking. We show how canard explosion influences characteristics of stochastic oscillations. In particular, there are two effects with varying noise intensity: (i) frequency stabilization of noise-induced spikes and (ii) partial suppression of spike generation.
  • Keywords
    noise; nonlinear dynamical systems; stochastic systems; Fitzhugh-Nagumo model; additive noise; canard explosion; continuous spiking; frequency stabilization; noise induced spikes; noise intensity; spikes partial suppression; stochastic dynamics; stochastic oscillations; Character generation; Coherence; Explosions; Frequency synchronization; Histograms; Limit-cycles; Neuroscience; Physics; Stochastic processes; Stochastic resonance;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Physics and Control, 2003. Proceedings. 2003 International Conference
  • Print_ISBN
    0-7803-7939-X
  • Type

    conf

  • DOI
    10.1109/PHYCON.2003.1236910
  • Filename
    1236910