Polynomial differential systems with hyperbolic limit cycles
One of the main problems of the qualitative theory of the planar differential equations is the study their limit cycles. In this paper given an algebraic curve of degree n we characterize the planar polynomial differential systems of degree greater or equal than n which admit the ovals of the algebr...
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:289572 |
| Acesso em linha: | https://ddd.uab.cat/record/289572 https://dx.doi.org/urn:doi:10.1016/j.geomphys.2023.104983 |
| Access Level: | acceso abierto |
| Palavra-chave: | Polynomial differential system Hyperbolic limit cycle Algebraic invariant curve Algebraic limit cycle |
| Resumo: | One of the main problems of the qualitative theory of the planar differential equations is the study their limit cycles. In this paper given an algebraic curve of degree n we characterize the planar polynomial differential systems of degree greater or equal than n which admit the ovals of the algebraic curve as hyperbolic limit cycles. |
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