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(Reference retrieved automatically from SciELO through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Perturbed damped pendulum: finding periodic solutions via averaging method

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Author(s):
Douglas D. Novaes [1]
Total Authors: 1
Affiliation:
[1] Univ Estadual Campinas, Dept Matemat, Campinas, SP - Brazil
Total Affiliations: 1
Document type: Journal article
Source: Revista Brasileira de Ensino de Física; v. 35, n. 1, p. 01-07, 2013-03-00.
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. (AU)

FAPESP's process: 12/10231-7 - Regularization and minimal sets for non-smooth dynamical systems
Grantee:Douglas Duarte Novaes
Support Opportunities: Scholarships in Brazil - Doctorate