Unilateral regulation breaks regularity of Turing patterns
dc.contributor.author | Vejchodský, Tomáš | |
dc.contributor.author | Jaroš, Filip | |
dc.contributor.author | Kučera, Milan | |
dc.contributor.author | Rybář, Vojtěch | |
dc.date.accessioned | 2018-02-21T11:35:30Z | |
dc.date.available | 2018-02-21T11:35:30Z | |
dc.date.issued | 2017 | |
dc.description.abstract-translated | 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. | en |
dc.format | 12 s. | cs |
dc.format.mimetype | application/pdf | |
dc.identifier.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. | en |
dc.identifier.doi | 10.1103/PhysRevE.96.022212 | |
dc.identifier.issn | 2470-0045 | |
dc.identifier.obd | 43921277 | |
dc.identifier.uri | http://hdl.handle.net/11025/29320 | |
dc.language.iso | en | en |
dc.project.ID | GA13-00863S/Semilineární a kvazilineární diferenciální rovnice: existence a násobnost řešení | cs |
dc.publisher | American Physical Society | en |
dc.rights | Plný text je přístupný v rámci univerzity přihlášeným uživatelům. | cs |
dc.rights | © American Physical Society | en |
dc.rights.access | restrictedAccess | en |
dc.subject | jednostranný termín | cs |
dc.subject | Turingova nestabilita | cs |
dc.subject | vzor | cs |
dc.subject.translated | unilateral term | en |
dc.subject.translated | Turing instability | en |
dc.subject.translated | pattern | en |
dc.title | Unilateral regulation breaks regularity of Turing patterns | en |
dc.type | článek | cs |
dc.type | article | en |
dc.type.status | Peer-reviewed | en |
dc.type.version | publishedVersion | en |