The limit cycles of discontinuous piecewise linear differential systems formed by centers and separated by irreducible cubic curves II
In this paper we provide a lower bound for the maximum number of crossing limit cycles of some class of planar discontinuous piecewise linear differential systems formed by centers and separated by an irreducible algebraic cubic curve. First we prove that the systems constituted by three zones can e...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:239772 |
| Acceso en línea: | https://ddd.uab.cat/record/239772 https://dx.doi.org/urn:doi:10.1007/s12591-021-00564-w |
| Access Level: | acceso abierto |
| Palabra clave: | Limit cycles Discontinuous piecewise linear differential systems Linear differential centers Irreducible cubic curves |
| Sumario: | In this paper we provide a lower bound for the maximum number of crossing limit cycles of some class of planar discontinuous piecewise linear differential systems formed by centers and separated by an irreducible algebraic cubic curve. First we prove that the systems constituted by three zones can exhibit 0, 1, 2, 3 or 4 crossing limit cycles having four intersection points with the cubic of separation. Second we prove that the systems constituted by two zones can exhibit 0, 1, or 2 crossing limit cycles having four intersection points with the cubic of separation. |
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