Limit cycles of 3-dimensional discontinuous piecewise differential systems formed by linear centers
In this paper we deal with 3-dimensional discontinuous piecewise differential systems formed by linear centers and separated by one plane or two parallel planes. We prove that these systems separated by one plane have no limit cycles, besides the systems separated by two parallel planes have at most...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:257081 |
| Acceso en línea: | https://ddd.uab.cat/record/257081 https://dx.doi.org/urn:doi:10.1007/s40863-021-00237-0 |
| Access Level: | acceso abierto |
| Palabra clave: | Discontinuous piecewise differential systems Periodic orbits Linear centers First integrals Limit cycles |
| Sumario: | In this paper we deal with 3-dimensional discontinuous piecewise differential systems formed by linear centers and separated by one plane or two parallel planes. We prove that these systems separated by one plane have no limit cycles, besides the systems separated by two parallel planes have at most one limit cycle, and that there are systems having such a limit cycle. So we solve the extension of the 16th Hilbert problem to this class of differential systems. |
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