Phase portraits of piecewise linear continuous differential systems with two zones separated by a straight line
This paper provides the classification of the phase portraits in the Poincaré disc of all piecewise linear continuous differential systems with two zones separated by a straight line having a unique finite singular point which is a node or a focus. The sufficient and necessary conditions for existen...
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2019 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:204383 |
| Acesso em linha: | https://ddd.uab.cat/record/204383 https://dx.doi.org/urn:doi:10.1016/j.jde.2018.12.024 |
| Access Level: | acceso abierto |
| Palavra-chave: | Phase portraits Piecewise linear differential system Limit cycle |
| Resumo: | This paper provides the classification of the phase portraits in the Poincaré disc of all piecewise linear continuous differential systems with two zones separated by a straight line having a unique finite singular point which is a node or a focus. The sufficient and necessary conditions for existence and uniqueness of limit cycles are also given. |
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