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This article is cited in 6 scientific papers (total in 6 papers)
MATHEMATICAL MODELING AND NUMERICAL SIMULATION
Diffusion instability in a threevariable reaction–diffusion model
M. Yu. Borina, A. A. Polezhaev P. N. Lebedev Physical Institute of the Russian Academy of Sciences, Leninskiy prospekt, 53, Moscow, 119991, Russia
Abstract:
Investigation of occurrence of diffusion instability in a set of three reaction–diffusion equations is carried out. In the general case the condition for both Turing and wave instabilities are obtained. Qualitative properties of the system, in which the bifurcation of each of the two types can take place, are clarified. In numerical experiments it is shown that if the corresponding conditions are met in the nonlinear model, spatiotemporal patterns are formed, which are predicted by linear analysis.
Keywords:
diffusion instability, Turing instability, wave instability.
Received: 17.05.2011
Citation:
M. Yu. Borina, A. A. Polezhaev, “Diffusion instability in a threevariable reaction–diffusion model”, Computer Research and Modeling, 3:2 (2011), 135–146
Linking options:
https://www.mathnet.ru/eng/crm554 https://www.mathnet.ru/eng/crm/v3/i2/p135
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Abstract page: | 137 | Full-text PDF : | 46 | References: | 20 |
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