Stationary and oscillatory patterns in a coupled Brusselator model

dc.contributor.authorAnguelov, Roumen
dc.contributor.authorStoltz, Stephanus Marnus
dc.date.accessioned2017-06-05T06:50:49Z
dc.date.issued2017-03en
dc.description.abstractThis paper presents a numerical investigation into the pattern formation mechanism in the Brusselator model focusing on the interplay between the Hopf and Turing bifurcations. The dynamics of a coupled Brusselator model is studied in terms of wavelength and diffusion, thus providing insight into the generation of stationary and oscillatory patterns. The expected asymptotic behavior is confirmed by numerical simulations. The observed patterns include inverse labyrinth oscillations, inverse hexagonal oscillations, dot hexagons and parallel lines.en_ZA
dc.description.departmentMathematics and Applied Mathematicsen
dc.description.embargo2018-03-31
dc.description.sponsorshipThe National Research Foundation of South Africa under grant 93476 and by the SARChI Chair on Mathematical Models and Methods in Bioengineering and Biosciences.en
dc.description.urihttp://www.elsevier.com/locate/matcomen
dc.identifier.citationAnguelov, R. & Stoltz, S.M. 2017, 'Stationary and oscillatory patterns in a coupled Brusselator model', Mathematics and Computers in Simulation, vol. 133, pp. 39-46.en
dc.identifier.issn1872-7166 (online)en
dc.identifier.issn0378-4754 (print)en
dc.identifier.other10.1016/j.matcom.2015.06.002en
dc.identifier.urihttp://hdl.handle.net/2263/60776
dc.language.isoEnglishen
dc.publisherElsevieren
dc.rights© 2015 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Mathematics and Computers in Simulation. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. A definitive version was subsequently published in Mathematics and Computers in Simulation, vol. 133, pp. 39-46, 2017. doi : 10.1016/j.matcom.2015.06.002.en
dc.subjectNonlinear reaction rateen
dc.subjectBrusselator modelen
dc.subjectCoupled systemen
dc.subjectTuring patternsen
dc.subjectHopf bifurcationen
dc.titleStationary and oscillatory patterns in a coupled Brusselator modelen_ZA
dc.typePostprint Articleen

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