For citation:
Postnov D. E., Shishkin A. V., Setsinsky D. V. Stochastic dynamics оf excitable system near the canard explosion. Izvestiya VUZ. Applied Nonlinear Dynamics, 2003, vol. 11, iss. 6, pp. 104-115. DOI: 10.18500/0869-6632-2003-11-6-104-115
This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
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Russian
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Article
UDC:
532.517; 517.9; 621.373
Stochastic dynamics оf excitable system near the canard explosion
Autors:
Postnov Dmitry E, Saratov State University
Shishkin Aleksandr Vladislavovich, Saratov State University
Setsinsky Dmitry Vyacheslavovich, Saratov State University
Abstract:
The subject of our study is FutzHugh-Hagumo 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: frequency stabilization of noise-induced spikes and partial suppression of spike generation.
Key words:
Acknowledgments:
This work was supported in part by RFBR grants 04-02-16769 and INTAS 01-2061, and by Russian Ministry of Education grant A03-2.9-362.
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Received:
27.02.2003
Accepted:
16.06.2003
Available online:
06.12.2023
Published:
31.12.2003
Journal issue:
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