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INTERACTION OF WAVES IN A ONE DIMENSIONAL STOCHASTIC PDE MODEL OF EXCITABLE MEDIA
Journal article   Open access  Peer reviewed

INTERACTION OF WAVES IN A ONE DIMENSIONAL STOCHASTIC PDE MODEL OF EXCITABLE MEDIA

Hasan Alzubaidi, Tony Shardlow and Department of Mathematical Sciences, University of Bath, Bath, BA2 7AY
Discrete and continuous dynamical systems. Series B, Vol.18(7), pp.1735-1754
01/09/2013
DOI: https://doi.org/10.3934/dcdsb.2013.18.1735

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We study the Barkley PDE model of excitable media in a one dimensional periodic domain with additive space time noise. Regions of excitation and kinks (i.e., boundaries between regions of excitation) form due to the additive noise and propagate due to the underlying dynamics of the excitable media. We study the resulting distribution of excitation and kinks by developing a reduced model.
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https://doi.org/10.3934/dcdsb.2013.18.1735View
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