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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1997
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v237_n1-2_p135_Izus http://hdl.handle.net/20.500.12110/paper_03784371_v237_n1-2_p135_Izus |
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paper:paper_03784371_v237_n1-2_p135_Izus2023-06-08T15:39:51Z Global analysis of pattern selection and bifurcations in monostable reaction-diffusion systems 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. 1997 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v237_n1-2_p135_Izus 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 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. |
| 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 |
| publishDate |
1997 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03784371_v237_n1-2_p135_Izus http://hdl.handle.net/20.500.12110/paper_03784371_v237_n1-2_p135_Izus |
| _version_ |
1768543949948977152 |