A family of periodic orbits for the extended Hamiltonian system of the Van der Pol oscillator
In this paper we show a new way of using the averaging theory for studying families of periodic orbits of a Hamiltonian system. We do this study computing a new family of periodic orbits of the extension of the Van der Pol oscillator to a Hamiltonian system of two degrees of freedom.
| Autores: | , |
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| Formato: | artículo |
| Fecha de publicación: | 2023 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:274776 |
| Acesso em linha: | https://ddd.uab.cat/record/274776 https://dx.doi.org/urn:doi:10.1016/j.geomphys.2022.104705 |
| Access Level: | acceso abierto |
| Palavra-chave: | Periodic orbit Hamiltonian system Van der Pol oscillator Averaging theory |
| Resumo: | In this paper we show a new way of using the averaging theory for studying families of periodic orbits of a Hamiltonian system. We do this study computing a new family of periodic orbits of the extension of the Van der Pol oscillator to a Hamiltonian system of two degrees of freedom. |
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