A Polynomial System of Degree Four with an Invariant Square Containing At Least Five Limit Cycles
We consider a class of polynomial systems of degree four with four real invariant straight lines that form a square, called this an invariant square, and also that contains in its interior at least five small amplitude limit cycles for a certain choice of the parameters. Moreover, we will obtain the...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universitat de Lleida (UdL) |
| Repositorio: | Repositori Obert UdL |
| OAI Identifier: | oai:repositori.udl.cat:10459.1/466318 |
| Acceso en línea: | https://doi.org/10.1007/s12346-024-01106-9 https://hdl.handle.net/10459.1/466318 |
| Access Level: | acceso abierto |
| Palabra clave: | Polynomial differential system Small amplitude limit cycles Invariant straight lines |
| Sumario: | We consider a class of polynomial systems of degree four with four real invariant straight lines that form a square, called this an invariant square, and also that contains in its interior at least five small amplitude limit cycles for a certain choice of the parameters. Moreover, we will obtain the necessary and sufficient conditions for the critical point inside the square to be a center. |
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