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Abstract:

We study a piecewise linear version of a one-component monostable reaction diffusion model in a bounded domain, subjected to partially reflecting boundary conditions ("albedo" b.c.). We analyze the local and the global stability of the merging patterns and detect a bifurcation of the uniform solution induced by changes in the reflectivity of the boundaries.

Registro:

Documento: Artículo
Título:Global analysis of pattern selection and bifurcations in monostable reaction-diffusion systems
Autor:Izús, G.; Deza, R.; Borzi, C.; Wio, H.S.
Filiación:Departamento de Física, Fac. de Ciencias Exactas y Naturales, Univ. National de Mar del Plata, Deán Funes 3350, 7600 Mar del Plata, Argentina
MONDITEC S.A., Olazabal 1927, 2do. G, 1428 Buenos Aires, Argentina
Centra Atómico Bariloche, Instituto Balseiro (UNC), 8400 San Carlos de Bariloche, Argentina
Palabras clave:Bifurcation (mathematics); Boundary conditions; Diffusion; Mathematical models; Piecewise linear techniques; Global analysis; Monostable reaction diffusion system; Pattern selection; Molecular dynamics
Año:1997
Volumen:237
Número:1-2
Página de inicio:135
Página de fin:149
DOI: http://dx.doi.org/10.1016/S0378-4371(96)00382-2
Título revista:Physica A: Statistical Mechanics and its Applications
Título revista abreviado:Phys A Stat Mech Appl
ISSN:03784371
CODEN:PHYAD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v237_n1-2_p135_Izus

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Citas:

---------- APA ----------
Izús, G., Deza, R., Borzi, C. & Wio, H.S. (1997) . Global analysis of pattern selection and bifurcations in monostable reaction-diffusion systems. Physica A: Statistical Mechanics and its Applications, 237(1-2), 135-149.
http://dx.doi.org/10.1016/S0378-4371(96)00382-2
---------- CHICAGO ----------
Izús, G., Deza, R., Borzi, C., Wio, H.S. "Global analysis of pattern selection and bifurcations in monostable reaction-diffusion systems" . Physica A: Statistical Mechanics and its Applications 237, no. 1-2 (1997) : 135-149.
http://dx.doi.org/10.1016/S0378-4371(96)00382-2
---------- MLA ----------
Izús, G., Deza, R., Borzi, C., Wio, H.S. "Global analysis of pattern selection and bifurcations in monostable reaction-diffusion systems" . Physica A: Statistical Mechanics and its Applications, vol. 237, no. 1-2, 1997, pp. 135-149.
http://dx.doi.org/10.1016/S0378-4371(96)00382-2
---------- VANCOUVER ----------
Izús, G., Deza, R., Borzi, C., Wio, H.S. Global analysis of pattern selection and bifurcations in monostable reaction-diffusion systems. Phys A Stat Mech Appl. 1997;237(1-2):135-149.
http://dx.doi.org/10.1016/S0378-4371(96)00382-2