Bifurcation of limit cycles in piecewise quadratic differential systems with an invariant straight line
We solve the center-focus problem in a class of piecewise quadratic polynomial differential systems with an invariant straight line. The separation curve is also a straight line which is not invariant. We provide families having at the origin a weak-foci of maximal order. In the continuous class, th...
| 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:264063 |
| Acceso en línea: | https://ddd.uab.cat/record/264063 https://dx.doi.org/urn:doi:10.1016/j.jmaa.2022.126256 |
| Access Level: | acceso abierto |
| Palabra clave: | Center-focus Cyclicity Limit cycles Weak-focus order Lyapunov quantities |
| Sumario: | We solve the center-focus problem in a class of piecewise quadratic polynomial differential systems with an invariant straight line. The separation curve is also a straight line which is not invariant. We provide families having at the origin a weak-foci of maximal order. In the continuous class, the cyclicity problem is also solved, being 3 such maximal number. Moreover, for the discontinuous class but without sliding segment, we prove the existence of 7 limit cycles of small amplitude. |
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