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http://hdl.handle.net/10553/1524
Title: | Bifurcations and turing instabilities in reaction-diffusion systems with time-dependent diffusivities |
Authors: | Fernández de la Nuez, Isabel García Cortí, Juan Luis Pacheco Castelao, José Miguel |
Keywords: | Teoria de la Bifurcación Ecuaciones de reacción difusión |
Issue Date: | 2005 |
Journal: | Revista de la Academia Canaria de Ciencias |
Abstract: | A class of two-component, one-diemnsional, react-diffusion systems of the type usually found in Ecology are analysed in order to establish the qualitative behavior of solutions. It is shown that for diffusivities in the form D_j=d_j+b_j cos(ωt+ ϕ) relationships can be derived from which amplitude destabilization can be assessed depending on the wavenumber k and the variable diffusion coefficients, specially the frequency ω. Therefore, time-dependent diffusivities can control the turing instability mechanism. The analysis is perfirmed using Floquet´s Theory. Numerical simulations for various kinetics are presented, and bifurcation diagrams in the plane (k, ω) are obtained |
URI: | http://hdl.handle.net/10553/1524 |
ISSN: | 1130-4723 |
Source: | Revista de la Academia Canaria de Ciencias. XVI (1-2). pp. 89-98 |
Appears in Collections: | Articles |
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