Title
Dynamics Of A Reaction-Diffusion Equation With A Discontinuous Nonlinearity
Abstract
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.
Year
DOI
Venue
2006
10.1142/S0218127406016586
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
DocType
Volume
reaction-diffusion equation, setvalued dynamical system, global attractor, upper semicontinuity, stability, heteroclinic connections
Journal
16
Issue
ISSN
Citations 
10
0218-1274
1
PageRank 
References 
Authors
0.43
0
3
Name
Order
Citations
PageRank
JOSÉ M. ARRIETA121.93
Aníbal Rodríguez-bernal231.63
José Valero310.43