Phase portraits and bifurcation diagram of the Gray-Scott model
We give a complete classification of the phase portraits in the Poincaré disk for the cubic polynomial systems ˙ x = 1-x-axy2, ˙ y = -by + axy2, in R2 according with the values of its two parameters a and b. These differential systems correspond to the Gray-Scott model. Moreover we provide the bifur...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:236644 |
| Acceso en línea: | https://ddd.uab.cat/record/236644 https://dx.doi.org/urn:doi:10.1016/j.jmaa.2020.124840 |
| Access Level: | acceso abierto |
| Palabra clave: | Gray-Scott model Cubic polynomial system Phase portraits Bifurcation diagram Hopf bifurcation |
| Sumario: | We give a complete classification of the phase portraits in the Poincaré disk for the cubic polynomial systems ˙ x = 1-x-axy2, ˙ y = -by + axy2, in R2 according with the values of its two parameters a and b. These differential systems correspond to the Gray-Scott model. Moreover we provide the bifurcation diagram in the parameter plane (a,b) of these systems. |
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