Boundary effects on the structural stability of stationary patterns in a bistable reaction-diffusion system
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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00224715_v90_n1-2_p103_Izus |
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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 |
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1807321975479074816 |