Non-existence and uniqueness of limit cycles in a class of generalized Liénard equations
We provide a sharp upper bound for the number of limit cycles of the generalized Liénard differential systems x˙ = y + axn + bxk, y˙ = cxm where n, k, m are positive integers, 1 < n< k and a, b, c∈ R with bc≠ 0. We also provide examples realizing the upper bounds.
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:274777 |
| Acceso en línea: | https://ddd.uab.cat/record/274777 https://dx.doi.org/urn:doi:10.1007/s40590-022-00433-8 |
| Access Level: | acceso abierto |
| Palabra clave: | Liénard equations Limit cycles Periodic orbits |
| Sumario: | We provide a sharp upper bound for the number of limit cycles of the generalized Liénard differential systems x˙ = y + axn + bxk, y˙ = cxm where n, k, m are positive integers, 1 < n< k and a, b, c∈ R with bc≠ 0. We also provide examples realizing the upper bounds. |
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