Nonlinear analysis of a reaction-diffusion system: Amplitude equations |
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| Authors: | E P Zemskov |
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| Institution: | 1. Dorodnicyn Computing Center, Russian Academy of Sciences, Moscow, 119333, Russia
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| Abstract: | A reaction-diffusion system with a nonlinear diffusion term is considered. Based on nonlinear analysis, the amplitude equations are obtained in the cases of the Hopf and Turing instabilities in the system. Turing pattern-forming regions in the parameter space are determined for supercritical and subcritical instabilities in a two-component reaction-diffusion system. |
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