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Abstract:

We study a piecewise linear version of a one-component, two-dimensional bistable reaction-diffusion system subjected to partially reflecting boundary conditions, with the aim of analyzing the structural stability of its stationary patterns. Dirichlet and Neumann boundary conditions are included as limiting cases. We find a critical line in the space of the parameters which divides different dynamical behaviors. That critical line merges as the locus of the coalescence of metastable and unstable nonuniform structures.

Registro:

Documento: Artículo
Título:Boundary effects on the structural stability of stationary patterns in a bistable reaction-diffusion system
Autor:Izús, G.G.; Reyes De Rueda, J.; Borzi, C.H.
Filiación:Departamento de Física, Fac. de Ciencias Exactas Y Naturales, Univ. Nacional de Mar del Plata, Deán Funes 3350, (7600) Mar del Plata, Argentina
MONDITEC S.A., Olazabal 1927, (1428) Buenos Aires, Argentina
Palabras clave:Albedo BCs; Hot-spot model; Non-equilibrium potential; Reaction-diffusion; Structural stability
Año:1998
Volumen:90
Número:1-2
Página de inicio:103
Página de fin:117
Título revista:Journal of Statistical Physics
Título revista abreviado:J. Stat. Phys.
ISSN:00224715
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224715_v90_n1-2_p103_Izus

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Citas:

---------- APA ----------
Izús, G.G., Reyes De Rueda, J. & Borzi, C.H. (1998) . Boundary effects on the structural stability of stationary patterns in a bistable reaction-diffusion system. Journal of Statistical Physics, 90(1-2), 103-117.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224715_v90_n1-2_p103_Izus [ ]
---------- CHICAGO ----------
Izús, G.G., Reyes De Rueda, J., Borzi, C.H. "Boundary effects on the structural stability of stationary patterns in a bistable reaction-diffusion system" . Journal of Statistical Physics 90, no. 1-2 (1998) : 103-117.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224715_v90_n1-2_p103_Izus [ ]
---------- MLA ----------
Izús, G.G., Reyes De Rueda, J., Borzi, C.H. "Boundary effects on the structural stability of stationary patterns in a bistable reaction-diffusion system" . Journal of Statistical Physics, vol. 90, no. 1-2, 1998, pp. 103-117.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224715_v90_n1-2_p103_Izus [ ]
---------- VANCOUVER ----------
Izús, G.G., Reyes De Rueda, J., Borzi, C.H. Boundary effects on the structural stability of stationary patterns in a bistable reaction-diffusion system. J. Stat. Phys. 1998;90(1-2):103-117.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00224715_v90_n1-2_p103_Izus [ ]