Anguelov, RoumenStoltz, Stephanus Marnus2017-06-052017-03Anguelov, R. & Stoltz, S.M. 2017, 'Stationary and oscillatory patterns in a coupled Brusselator model', Mathematics and Computers in Simulation, vol. 133, pp. 39-46.1872-7166 (online)0378-4754 (print)10.1016/j.matcom.2015.06.002http://hdl.handle.net/2263/60776This 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.English© 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.Nonlinear reaction rateBrusselator modelCoupled systemTuring patternsHopf bifurcationPostprint Article