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Unilateral regulation breaks regularity of Turing patterns

SYSNO ASEP	0477232
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Unilateral regulation breaks regularity of Turing patterns
Author(s)	Vejchodský, Tomáš (MU-W)_{RID, SAI, ORCID} Jaroš, F. (CZ) Kučera, Milan (MU-W)_{RID, SAI, ORCID} Rybář, Vojtěch (MU-W)_{RID, SAI}
Article number	022212
Source Title	Physical Review E. - : American Physical Society - ISSN 2470-0045 Roč. 96, č. 2 (2017)
Number of pages	12 s.
Language	eng - English
Country	US - United States
Keywords	unilateral term ; Turing instability ; pattern
Subject RIV	BA - General Mathematics
OECD category	Applied mathematics
Institutional support	MU-W - RVO:67985840
UT WOS	000408118100005
EID SCOPUS	85028734473
DOI	10.1103/PhysRevE.96.022212
Annotation	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.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2018

Number of the records: 1