Geodesic
Analysis of stochastic sensitivity of Turing patterns
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 55 (2020), pp. 155-163

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, a distributed stochastic Brusselator model with diffusion is studied. We show that a variety of stable spatially heterogeneous patterns is generated in the Turing instability zone. The effect of random noise on the stochastic dynamics near these patterns is analysed by direct numerical simulation. Noise-induced transitions between coexisting patterns are studied. A stochastic sensitivity of the pattern is quantified as the mean-square deviation from the initial unforced pattern. We show that the stochastic sensitivity is spatially non-homogeneous and significantly differs for coexisting patterns. A dependence of the stochastic sensitivity on the variation of diffusion coefficients and intensity of noise is discussed.
Keywords: Turing instability, self-organization, stochastic sensitivity.
Mots-clés : reaction–diffusion model 
@article{IIMI_2020_55_a9,
     author = {A. P. Kolinichenko and L. B. Ryashko},
     title = {Analysis of stochastic sensitivity of {Turing} patterns},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
     pages = {155--163},
     publisher = {mathdoc},
     volume = {55},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IIMI_2020_55_a9/}
}
TY  - JOUR
AU  - A. P. Kolinichenko
AU  - L. B. Ryashko
TI  - Analysis of stochastic sensitivity of Turing patterns
JO  - Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta
PY  - 2020
SP  - 155
EP  - 163
VL  - 55
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IIMI_2020_55_a9/
LA  - en
ID  - IIMI_2020_55_a9
ER  - 
%0 Journal Article
%A A. P. Kolinichenko
%A L. B. Ryashko
%T Analysis of stochastic sensitivity of Turing patterns
%J Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta
%D 2020
%P 155-163
%V 55
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IIMI_2020_55_a9/
%G en
%F IIMI_2020_55_a9
A. P. Kolinichenko; L. B. Ryashko. Analysis of stochastic sensitivity of Turing patterns. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 55 (2020), pp. 155-163. http://geodesic.mathdoc.fr/item/IIMI_2020_55_a9/