Biblioteca de la Universidad Complutense de Madrid

Dynamics of a reaction-diffusion equation with a discontinuous nonlinearity

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Arrieta Algarra, José María y Rodríguez Bernal, Aníbal y Valero , José (2006) Dynamics of a reaction-diffusion equation with a discontinuous nonlinearity. International Journal of Bifurcation and Chaos, 16 (10). 2965-2984 . ISSN 0218-1274

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Resumen

We study the nonlinear dynamics of a reaction-diffusion equation where the nonlinearity presents a discontinuity. We prove the upper semicontinuity of solutions and the global attractor with respect to smooth approximations of the nonlinear term. We also give a complete description of the set of fixed points and study their stability. Finally, we analyze the existence of heteroclinic connections between the fixed points, obtaining information on the fine structure of the global attractor.


Tipo de documento:Artículo
Palabras clave:Reaction–diffusion equation; Setvalued dynamical system; Global attractor; Upper semicontinuity; Stability; Heteroclinic connections
Materias:Ciencias > Matemáticas > Ecuaciones diferenciales
Código ID:13403
Depositado:14 Oct 2011 07:18
Última Modificación:06 Feb 2014 09:48

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