Periodic orbits and non-existence of C1 first integrals for analytic differential systems exhibiting a zero-Hopf bifurcation in R4
In this paper we investigate a particular case of a zero-Hopf bifurcation of a four dimensional analytic differential system. We prove that at most five periodic orbits bifurcate from the zero-Hopf equilibrium using the averaging theory of first order and give a specific example to illustrate this c...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2024 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:307724 |
| Acceso en línea: | https://ddd.uab.cat/record/307724 https://dx.doi.org/urn:doi:10.1007/s12215-024-01074-8 |
| Access Level: | acceso abierto |
| Palabra clave: | Analytic differential systems Zero-Hopf bifurcation Periodic orbits Characteristic multipliers Non-existence of C1 first integral |
| Sumario: | In this paper we investigate a particular case of a zero-Hopf bifurcation of a four dimensional analytic differential system. We prove that at most five periodic orbits bifurcate from the zero-Hopf equilibrium using the averaging theory of first order and give a specific example to illustrate this conclusion. Moreover we prove the non-existence of C first integrals in a neighbourhood of these periodic orbits. |
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