|Title:||Bifurcations and turing instabilities in reaction-difussion systems with time-dependent dissusivities||Authors:||Fernández Delgado, Isabel
García Cortí, Juan Luis
Pacheco Castelao, José Miguel
|UNESCO Clasification:||33 Ciencias tecnológicas||Issue Date:||2004||Journal:||Revista de la Academia Canaria de Ciencias||Abstract:||A class of two-component,one-dimensional, reaction-diffusion systems of the type usually found in Ecology are analysed in order to establish the qualitative behaviour of solutions. It is shown that for diffusivities in the form Dj = dj + bjcos(wt + ), relationships can be derived from which amplitude destabilisation can be assessed dep ending on the wavenumber k and the variable diffusion coefficients, specially the frequency w. Therefore time-dependent diffusivities can control the Turing instability mechanism. The analysis is performed using F loquet's Theory. Numerical simulations for various kinetics are presented, and bifurcation diagrams in the plane (k,w) are obtained.||URI:||http://hdl.handle.net/10553/57896||ISSN:||1130-4723||Source:||Revista de la Academia Canaria de Ciencias: = Folia Canariensis Academiae Scientiarum[ISSN 1130-4723],v. 16 (1), p. 89-98||URL:||http://dialnet.unirioja.es/servlet/articulo?codigo=2753168|
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