Boundary effects on the structural stability of stationary patterns in a bistable reaction-diffusion system

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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 l...

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Detalles Bibliográficos
Autores principales:	Izús, G.G., Reyes De Rueda, J., Borzi, C.H.
Formato:	JOUR
Materias:	Albedo BCs Hot-spot model Non-equilibrium potential Reaction-diffusion Structural stability
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_00224715_v90_n1-2_p103_Izus
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_00224715_v90_n1-2_p103_Izus
record_format	dspace
spelling	todo:paper_00224715_v90_n1-2_p103_Izus2023-10-03T14:33:00Z Boundary effects on the structural stability of stationary patterns in a bistable reaction-diffusion system Izús, G.G. Reyes De Rueda, J. Borzi, C.H. Albedo BCs Hot-spot model Non-equilibrium potential Reaction-diffusion Structural stability 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00224715_v90_n1-2_p103_Izus
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Albedo BCs Hot-spot model Non-equilibrium potential Reaction-diffusion Structural stability
spellingShingle	Albedo BCs Hot-spot model Non-equilibrium potential Reaction-diffusion Structural stability 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
topic_facet	Albedo BCs Hot-spot model Non-equilibrium potential Reaction-diffusion Structural stability
description	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.
format	JOUR
author	Izús, G.G. Reyes De Rueda, J. Borzi, C.H.
author_facet	Izús, G.G. Reyes De Rueda, J. Borzi, C.H.
author_sort	Izús, G.G.
title	Boundary effects on the structural stability of stationary patterns in a bistable reaction-diffusion system
title_short	Boundary effects on the structural stability of stationary patterns in a bistable reaction-diffusion system
title_full	Boundary effects on the structural stability of stationary patterns in a bistable reaction-diffusion system
title_fullStr	Boundary effects on the structural stability of stationary patterns in a bistable reaction-diffusion system
title_full_unstemmed	Boundary effects on the structural stability of stationary patterns in a bistable reaction-diffusion system
title_sort	boundary effects on the structural stability of stationary patterns in a bistable reaction-diffusion system
url	http://hdl.handle.net/20.500.12110/paper_00224715_v90_n1-2_p103_Izus
work_keys_str_mv	AT izusgg boundaryeffectsonthestructuralstabilityofstationarypatternsinabistablereactiondiffusionsystem AT reyesderuedaj boundaryeffectsonthestructuralstabilityofstationarypatternsinabistablereactiondiffusionsystem AT borzich boundaryeffectsonthestructuralstabilityofstationarypatternsinabistablereactiondiffusionsystem
_version_	1807321975479074816

Boundary effects on the structural stability of stationary patterns in a bistable reaction-diffusion system

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