Stationary patterns in bistable reaction-diffusion cellular automata

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F22%3A43965082" target="_blank" >RIV/49777513:23520/22:43965082 - isvavai.cz</a>
Result on the web
<a href="http://www.aimspress.com/article/doi/10.3934/mbe.2022283" target="_blank" >http://www.aimspress.com/article/doi/10.3934/mbe.2022283</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/mbe.2022283" target="_blank" >10.3934/mbe.2022283</a>

Result language
angličtina
Original language name
Stationary patterns in bistable reaction-diffusion cellular automata
Original language description
In this paper, we study stationary patterns of bistable reaction-diffusion cellular automata, i.e., models with discrete time, space and state. We show the rich variability based on the interplay of the capacity and viability and the specific form of reaction functions. While stationary k-periodic patterns occur naturally in many situations in large (exponential) numbers, there exist extreme situations for which there are no heterogeneous patterns. Moreover, nonmonotone dependence of the number of stationary patterns on the diffusion parameter is shown to be natural in the fully discrete setting.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/GF20-11164L" target="_blank" >GF20-11164L: Regularity properties of mappings and applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)