Pattern formation in reaction-diffusion systems with piecewise kinetic modulation: An example study of heterogeneous kinetics
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F19%3A00335499" target="_blank" >RIV/68407700:21340/19:00335499 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1103/PhysRevE.100.042220" target="_blank" >https://doi.org/10.1103/PhysRevE.100.042220</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevE.100.042220" target="_blank" >10.1103/PhysRevE.100.042220</a>
Alternative languages
Result language
angličtina
Original language name
Pattern formation in reaction-diffusion systems with piecewise kinetic modulation: An example study of heterogeneous kinetics
Original language description
The study of pattern emergence together with exploration of the exemplar Turing model is enjoying a renaissance both from theoretical and experimental perspective. Here, we implement a stability analysis of spatially dependent reaction kinetics by exploring the effect of a jump discontinuity within piecewise constant kinetic parameters, using various methods to identify and confirm the diffusion-driven instability conditions. Essentially, the presence of stability or instability in Turing models is a local property for piecewise constant kinetic parameters and, as such, may be analyzed locally. In particular, a local assessment of whether parameters are within the Turing space provides a strong indication that for a large enough region with these parameters, an instability can be induced.
Czech name
—
Czech description
—
Classification
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
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
PHYSICAL REVIEW E
ISSN
2470-0045
e-ISSN
2470-0053
Volume of the periodical
100
Issue of the periodical within the volume
4
Country of publishing house
US - UNITED STATES
Number of pages
15
Pages from-to
—
UT code for WoS article
000493459900005
EID of the result in the Scopus database
2-s2.0-85074910960