Perturbed damped pendulum: finding periodic solutions via averaging method
Novaes, Douglas D. (Universidade Estadual de Campinas. Departamento de Matemática)

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
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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

DOI: 10.1590/s1806-11172013000100014

Postprint 15 p, 517.2 KB

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