Stationary and oscillatory patterns in a coupled Brusselator model

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• 作者：Roumen Anguelov ; ^{roumen.anguelov@up.ac.za} ; Stephanus Marnus Stoltz ^{stoltzstep@gmail.com}
• 关键词：Nonlinear reaction rate ; Brusselator model ; Coupled system ; Turing patterns ; Hopf bifurcation
• 刊名：Mathematics and Computers in Simulation
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：133
• 期：Complete
• 页码：39-46
• 全文大小：1412 K
• 卷排序：133

文摘

This 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.