Title:	Unilateral regulation breaks regularity of Turing patterns
Authors:	Vejchodský, Tomáš Jaroš, Filip Kučera, Milan Rybář, Vojtěch
Citation:	VEJCHODSKÝ, T., JAROŠ, F., KUČERA, M., RYBÁŘ, V. Unilateral regulation breaks regularity of Turing patterns. Physical review E, 2017, roč. 96, č. 2, s. 1-12. ISSN 2470-0045.
Issue Date:	2017
Publisher:	American Physical Society
Document type:	článek article
URI:	http://hdl.handle.net/11025/29320
ISSN:	2470-0045
Keywords:	jednostranný termín;Turingova nestabilita;vzor
Keywords in different language:	unilateral term;Turing instability;pattern
Abstract in different language:	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.
Rights:	Plný text je přístupný v rámci univerzity přihlášeným uživatelům. © American Physical Society
Appears in Collections:	Články / Articles (KFY) OBD

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