Periodic orbits for an autonomous version of the Duffing-Holmes oscillator
In the autonomous Duffing-Holmes oscillator, the existence of periodic orbits was detected numerically. Using the Hopf bifurcation theory, we prove analytically that such periodic orbits exist. We also provide the exact bifurcation value where the Hopf bifurcation takes place.
| 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:313596 |
| Acceso en línea: | https://ddd.uab.cat/record/313596 https://dx.doi.org/urn:doi:10.15388/namc.2024.29.37850 |
| Access Level: | acceso abierto |
| Palabra clave: | Hopf bifurcation Duffing-Holmes oscillator Period orbit |
| Sumario: | In the autonomous Duffing-Holmes oscillator, the existence of periodic orbits was detected numerically. Using the Hopf bifurcation theory, we prove analytically that such periodic orbits exist. We also provide the exact bifurcation value where the Hopf bifurcation takes place. |
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