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Influence of Boundaries on Localized Patterns

Kozyreff, Gregory and Assemat, Pauline and Chapman, Stephen Jonathan Influence of Boundaries on Localized Patterns. (2009) Physical Review Letters, 103 (16). 164501/1-164501/4. ISSN 0031-9007

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Official URL: http://dx.doi.org/10.1103/PhysRevLett.103.164501

Abstract

We analytically study the influence of boundaries on distant localized patterns generated by a Turing instability. To this end, we use the Swift-Hohenberg model with arbitrary boundary conditions. We find that the bifurcation diagram of these localized structures generally involves four homoclinic snaking branches, rather than two for infinite or periodic domains. Second, steady localized patterns only exist at discrete locations, and only at the center of the domain if their size exceeds a critical value. Third, reducing the domain size increases the pinning range.

Item Type:Article
Additional Information:Thanks to American Physical Society editor. The original PDF of the article can be found at : https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.103.164501
HAL Id:hal-01785105
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:Other partners > Université Libre de Bruxelles - ULB (BELGIUM)
Other partners > University of Oxford (UNITED KINGDOM)
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Deposited By: Pauline ASSEMAT
Deposited On:04 May 2018 08:11

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