TY - JOUR
T1 - Interaction of waves in a one dimensional stochastic PDE model of excitable media
AU - Alzubaidi, Hasan
AU - Shardlow, Tony
PY - 2013/9
Y1 - 2013/9
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84879100273&partnerID=8YFLogxK
UR - http://dx.doi.org/10.3934/dcdsb.2013.18.1735
U2 - 10.3934/dcdsb.2013.18.1735
DO - 10.3934/dcdsb.2013.18.1735
M3 - Article
AN - SCOPUS:84879100273
SN - 1531-3492
VL - 18
SP - 1735
EP - 1754
JO - Discrete and Continuous Dynamical Systems - Series B
JF - Discrete and Continuous Dynamical Systems - Series B
IS - 7
ER -