Analytic study of two limit cycles bifurcating from a zero-Hopf equilibrium
In this paper, we provide sufficient conditions for the existence of two limit cycles bifurcating from the unique zero-Hopf equilibrium of the differential system (Formula presented.) where a, b, and c are real arbitrary parameters. Our study uses the averaging theory. This differential system has b...
| 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:312576 |
| Acceso en línea: | https://ddd.uab.cat/record/312576 https://dx.doi.org/urn:doi:10.1007/s40590-025-00726-8 |
| Access Level: | acceso embargado |
| Palabra clave: | Limit cycles Averaging theory Zero-Hopf bifurcation |
| Sumario: | In this paper, we provide sufficient conditions for the existence of two limit cycles bifurcating from the unique zero-Hopf equilibrium of the differential system (Formula presented.) where a, b, and c are real arbitrary parameters. Our study uses the averaging theory. This differential system has been studied previously for some authors, because it can exhibit chaotic motion when it has no equilibrium points. |
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