On limit cycles bifurcating from the infinity in discontinuous piecewise linear differential systems
In this paper we consider the linear differential center (x',y')=(-y,x) class of all discontinuous piecewise linear differential systems with two zones separated by the straight line y = 0. Using the Bendixson transformation we provide sufficient conditions to ensure the existence of a cro...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:145337 |
| Acceso en línea: | https://ddd.uab.cat/record/145337 https://dx.doi.org/urn:doi:10.1016/j.amc.2015.09.022 |
| Access Level: | acceso abierto |
| Palabra clave: | Discontinuous differential system Displacement function Infinite periodic orbit Limit cycles Piecewise linear differential system |
| Sumario: | In this paper we consider the linear differential center (x',y')=(-y,x) class of all discontinuous piecewise linear differential systems with two zones separated by the straight line y = 0. Using the Bendixson transformation we provide sufficient conditions to ensure the existence of a crossing limit cycle coming purely from the infinity. We also study the displacement function for a class of discontinuous piecewise smooth differential system. |
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