Global analysis of pattern selection and bifurcations in monostable reaction-diffusion systems
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 unifo...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_03784371_v237_n1-2_p135_Izus |
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todo:paper_03784371_v237_n1-2_p135_Izus2023-10-03T15:32:29Z Global analysis of pattern selection and bifurcations in monostable reaction-diffusion systems Izús, G. Deza, R. Borzi, C. Wio, H.S. Bifurcation (mathematics) Boundary conditions Diffusion Mathematical models Piecewise linear techniques Global analysis Monostable reaction diffusion system Pattern selection Molecular dynamics 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03784371_v237_n1-2_p135_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 |
Bifurcation (mathematics) Boundary conditions Diffusion Mathematical models Piecewise linear techniques Global analysis Monostable reaction diffusion system Pattern selection Molecular dynamics |
| spellingShingle |
Bifurcation (mathematics) Boundary conditions Diffusion Mathematical models Piecewise linear techniques Global analysis Monostable reaction diffusion system Pattern selection Molecular dynamics Izús, G. Deza, R. Borzi, C. Wio, H.S. Global analysis of pattern selection and bifurcations in monostable reaction-diffusion systems |
| topic_facet |
Bifurcation (mathematics) Boundary conditions Diffusion Mathematical models Piecewise linear techniques Global analysis Monostable reaction diffusion system Pattern selection Molecular dynamics |
| description |
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. |
| format |
JOUR |
| author |
Izús, G. Deza, R. Borzi, C. Wio, H.S. |
| author_facet |
Izús, G. Deza, R. Borzi, C. Wio, H.S. |
| author_sort |
Izús, G. |
| title |
Global analysis of pattern selection and bifurcations in monostable reaction-diffusion systems |
| title_short |
Global analysis of pattern selection and bifurcations in monostable reaction-diffusion systems |
| title_full |
Global analysis of pattern selection and bifurcations in monostable reaction-diffusion systems |
| title_fullStr |
Global analysis of pattern selection and bifurcations in monostable reaction-diffusion systems |
| title_full_unstemmed |
Global analysis of pattern selection and bifurcations in monostable reaction-diffusion systems |
| title_sort |
global analysis of pattern selection and bifurcations in monostable reaction-diffusion systems |
| url |
http://hdl.handle.net/20.500.12110/paper_03784371_v237_n1-2_p135_Izus |
| work_keys_str_mv |
AT izusg globalanalysisofpatternselectionandbifurcationsinmonostablereactiondiffusionsystems AT dezar globalanalysisofpatternselectionandbifurcationsinmonostablereactiondiffusionsystems AT borzic globalanalysisofpatternselectionandbifurcationsinmonostablereactiondiffusionsystems AT wiohs globalanalysisofpatternselectionandbifurcationsinmonostablereactiondiffusionsystems |
| _version_ |
1782023881722167296 |