Phase portraits of the Higgins-Selkov system
In this paper we study the dynamics of the Higgins-Selkov system x˙=1-xyγ,y˙=αy(xyγ-1-1), where α is a real parameter and γ > 1 is an integer. We classify the phase portraits of this system for γ = 3,4,5,6, in the Poincaré disc for all the values of the parameter α. Moreover, we determine in func...
| Autores: | , |
|---|---|
| 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:237528 |
| Acceso en línea: | https://ddd.uab.cat/record/237528 https://dx.doi.org/urn:doi:10.3934/dcdsb.2021039 |
| Access Level: | acceso abierto |
| Palabra clave: | Higgins-Selkov system Limit cycle Phase portrait Poincaré compactification |
| Sumario: | In this paper we study the dynamics of the Higgins-Selkov system x˙=1-xyγ,y˙=αy(xyγ-1-1), where α is a real parameter and γ > 1 is an integer. We classify the phase portraits of this system for γ = 3,4,5,6, in the Poincaré disc for all the values of the parameter α. Moreover, we determine in function of the parameter α the regions of the phase space with biological meaning. |
|---|