On the limit cycles of discontinuous piecewise linear differential systems formed by centers and separated by irreducible cubic curves III
In this paper we study the distribution and the number of limit cycles of the class of planar discontinuous piecewise linear differential systems formed by centers and separated by an irreducible algebraic cubic curve. More precisely we study the existence of simultaneous limit cycles with two and f...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:275501 |
| Acceso en línea: | https://ddd.uab.cat/record/275501 |
| Access Level: | acceso abierto |
| Palabra clave: | Limit cycles Discontinuous piecewise linear differential systems Linear differential centers Irreducible cubic curves |
| Sumario: | In this paper we study the distribution and the number of limit cycles of the class of planar discontinuous piecewise linear differential systems formed by centers and separated by an irreducible algebraic cubic curve. More precisely we study the existence of simultaneous limit cycles with two and four intersection points with the cubic of separation. In previous papers [3, 4] we already have studied this problem for the limit cycles having only either two, or four intersection points with the cubic of separation. |
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