Title :
Stochastic dynamics of FitzHugh-Nagumo model near the canard explosion
Author :
Shishkin, A. ; Postnov, D.
Author_Institution :
Saratov State Univ., Russia
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;
Conference_Titel :
Physics and Control, 2003. Proceedings. 2003 International Conference
Print_ISBN :
0-7803-7939-X
DOI :
10.1109/PHYCON.2003.1236910
