Home > Articles > Published articles > Perturbed damped pendulum: finding periodic solutions via averaging method |
Date: | 2013 |
Abstract: | 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. |
Note: | Agraïments: The author is supported by a FAPESP-BRAZlL grant 2012/10231-7 |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Subject: | Averaging method ; Periodic solutions ; Nonlinear systems ; Damped pendulum |
Published in: | Revista Brasileira de Ensino de Física, Vol. 35 Núm. 1 (2013) , p. 7 pages, ISSN 1806-9126 |
Postprint 15 p, 517.2 KB |