Limit cycles of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line
In this work we study the maximum number of limit cycles in some classes of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line. These rigid systems are formed by a linear center plus a homogeneous polynomial of degree 2, 3, 4, 5, 6. For these classe...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:311280 |
| Acceso en línea: | https://ddd.uab.cat/record/311280 https://dx.doi.org/urn:doi:10.1007/s00030-025-01050-w |
| Access Level: | acceso abierto |
| Palabra clave: | Limit cycles Discontinuous piece wise differential systems Rigid systems |
| Sumario: | In this work we study the maximum number of limit cycles in some classes of discontinuous piecewise differential systems formed by two rigid systems separated by a straight line. These rigid systems are formed by a linear center plus a homogeneous polynomial of degree 2, 3, 4, 5, 6. For these classes of piecewise differential systems we solve the extended 16th Hilbert problem. |
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