Unilateral regulation breaks regularity of Turing patterns
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00477232" target="_blank" >RIV/67985840:_____/17:00477232 - isvavai.cz</a>
Alternative codes found
RIV/49777513:23520/17:43950279 RIV/62690094:18460/17:50013468
Result on the web
<a href="http://dx.doi.org/10.1103/PhysRevE.96.022212" target="_blank" >http://dx.doi.org/10.1103/PhysRevE.96.022212</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevE.96.022212" target="_blank" >10.1103/PhysRevE.96.022212</a>
Alternative languages
Result language
angličtina
Original language name
Unilateral regulation breaks regularity of Turing patterns
Original language description
We consider a reaction-diffusion system undergoing Turing instability and augment it by an additional unilateral nonsmooth unilateral source term. We investigate its influence on the Turing instability and on the character of resulting patterns. We illustrate the importance of the nonsmoothness by a numerical case study, which shows that the Turing instability can considerably change if we replace this term by its arbitrarily precise smooth approximation. However, the nonsmooth unilateral term and all its approximations yield qualitatively similar patterns. Further, we show that the unilateral source breaks the approximate symmetry and regularity of the classical patterns and yields asymmetric and irregular patterns. Moreover, a given systém with a unilateral source produces spatial patterns even for diffusion parameters with ratios closer to 1 than the same systém without any unilateral term.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA13-00863S" target="_blank" >GA13-00863S: Semilinear and Quasilinear Differential Equations: Existence and Multiplicity Results</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2017
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
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Volume of the periodical
96
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
12
Pages from-to
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UT code for WoS article
000408118100005
EID of the result in the Scopus database
2-s2.0-85028734473