Unilateral regulation breaks regularity of Turing patterns

dc.contributor.authorVejchodský, Tomáš
dc.contributor.authorJaroš, Filip
dc.contributor.authorKučera, Milan
dc.contributor.authorRybář, Vojtěch
dc.date.accessioned2018-02-21T11:35:30Z
dc.date.available2018-02-21T11:35:30Z
dc.date.issued2017
dc.description.abstract-translatedWe 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.en
dc.format12 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.citationVEJCHODSKÝ, 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.en
dc.identifier.doi10.1103/PhysRevE.96.022212
dc.identifier.issn2470-0045
dc.identifier.obd43921277
dc.identifier.urihttp://hdl.handle.net/11025/29320
dc.language.isoenen
dc.project.IDGA13-00863S/Semilineární a kvazilineární diferenciální rovnice: existence a násobnost řešenícs
dc.publisherAmerican Physical Societyen
dc.rightsPlný text je přístupný v rámci univerzity přihlášeným uživatelům.cs
dc.rights© American Physical Societyen
dc.rights.accessrestrictedAccessen
dc.subjectjednostranný termíncs
dc.subjectTuringova nestabilitacs
dc.subjectvzorcs
dc.subject.translatedunilateral termen
dc.subject.translatedTuring instabilityen
dc.subject.translatedpatternen
dc.titleUnilateral regulation breaks regularity of Turing patternsen
dc.typečlánekcs
dc.typearticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen

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