Limit cycles of homogeneous polynomial Kukles differential systems
We study the number of limit cycles which can bifurcate from the periodic orbits of the harmonic oscillator when it is perturbed by homogeneous polynomials of degree n, only in the second differential equation, which corresponds to the so-called Kukles systems. Moreover, the degenerate Hopf bifurcat...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:312568 |
| Acceso en línea: | https://ddd.uab.cat/record/312568 https://dx.doi.org/urn:doi:10.1016/j.matcom.2025.04.045 |
| Access Level: | acceso abierto |
| Palabra clave: | Kukles differential system Limit cycles Center problem |
| Sumario: | We study the number of limit cycles which can bifurcate from the periodic orbits of the harmonic oscillator when it is perturbed by homogeneous polynomials of degree n, only in the second differential equation, which corresponds to the so-called Kukles systems. Moreover, the degenerate Hopf bifurcation is also studied for such systems. |
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