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Stable Squares and Other Oscillatory Turing Patterns in a Reaction-Diffusion Model

Lingfa Yang, Anatol M. Zhabotinsky, Irving R. Epstein
2004 Physical Review Letters  
We study the Brusselator reaction-diffusion model under conditions where the Hopf mode is supercritical and the Turing band is subcritical. Oscillating Turing patterns arise in the system when bulk oscillations lose their stability to spatial perturbations. Spatially uniform external periodic forcing can generate oscillating Turing patterns when both the Turing and Hopf modes are subcritical in the autonomous system. Most of the symmetric patterns show period doubling in both space and time.
more » ... space and time. Patterns observed include squares, rhombi, stripes, and hexagons.
doi:10.1103/physrevlett.92.198303 pmid:15169455 fatcat:4lej4mtgu5d4pfep2qf5jalade