On the periodic solutions of perturbed 4D non-resonant systems
We provide sufficient conditions for the existence of periodic solutions of a 4D non-resonant system perturbed by smooth or non-smooth functions. We apply these results to study the small amplitude periodic solutions of the non-linear planar double pendulum perturbed by smooth or non-smooth function...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:169432 |
| Acceso en línea: | https://ddd.uab.cat/record/169432 https://dx.doi.org/urn:doi:10.1007/s40863-015-0017-1 |
| Access Level: | acceso abierto |
| Palabra clave: | Averaging theory Double pendulum Non-resonant systems Non-smooth dynamical systems Periodic solution |
| Sumario: | We provide sufficient conditions for the existence of periodic solutions of a 4D non-resonant system perturbed by smooth or non-smooth functions. We apply these results to study the small amplitude periodic solutions of the non-linear planar double pendulum perturbed by smooth or non-smooth function. |
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