Perturbed damped pendulum: finding periodic solutions via averaging method
Using the damped pendulum model we introduce the averaging method to study the periodic solutions of dynamical systems with small non-autonomous perturbation. We provide sufficient conditions for the existence of periodic solutions with small amplitude of the non-linear perturbed damped pendulum. Th...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2013 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:150577 |
| Acceso en línea: | https://ddd.uab.cat/record/150577 https://dx.doi.org/urn:doi:10.1590/s1806-11172013000100014 |
| Access Level: | acceso abierto |
| Palabra clave: | Averaging method Periodic solutions Nonlinear systems Damped pendulum |
| Sumario: | Using the damped pendulum model we introduce the averaging method to study the periodic solutions of dynamical systems with small non-autonomous perturbation. We provide sufficient conditions for the existence of periodic solutions with small amplitude of the non-linear perturbed damped pendulum. The averaging method provides a useful means to study dynamical systems, accessible to Master and PhD students. |
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