Perturbed damped pendulum: finding periodic solutions via averaging method

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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Bibliographic Details
Main Author: Douglas D. Novaes
Format: Article
Language:Portuguese
Published: Sociedade Brasileira de Física
Series:Revista Brasileira de Ensino de Física
Subjects:
método "averaging"
soluções periódicas
sistemas não lineares
pêndulo amortecido
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172013000100014&lng=en&tlng=en
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spelling doaj-8834abaa6daa4442bae8d1042371a1132020-11-25T03:52:56ZporSociedade Brasileira de FísicaRevista Brasileira de Ensino de Física1806-11171806-912635110.1590/S1806-11172013000100014S1806-11172013000100014Perturbed damped pendulum: finding periodic solutions via averaging methodDouglas D. Novaes0Universidade Estadual de CampinasUsing 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.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172013000100014&lng=en&tlng=enmétodo "averaging"soluções periódicassistemas não linearespêndulo amortecido
collection DOAJ
language Portuguese
format Article
sources DOAJ
author Douglas D. Novaes
spellingShingle Douglas D. Novaes
Perturbed damped pendulum: finding periodic solutions via averaging method
Revista Brasileira de Ensino de Física
método "averaging"
soluções periódicas
sistemas não lineares
pêndulo amortecido
author_facet Douglas D. Novaes
author_sort Douglas D. Novaes
title Perturbed damped pendulum: finding periodic solutions via averaging method
title_short Perturbed damped pendulum: finding periodic solutions via averaging method
title_full Perturbed damped pendulum: finding periodic solutions via averaging method
title_fullStr Perturbed damped pendulum: finding periodic solutions via averaging method
title_full_unstemmed Perturbed damped pendulum: finding periodic solutions via averaging method
title_sort perturbed damped pendulum: finding periodic solutions via averaging method
publisher Sociedade Brasileira de Física
series Revista Brasileira de Ensino de Física
issn 1806-1117
1806-9126
description 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.
topic método "averaging"
soluções periódicas
sistemas não lineares
pêndulo amortecido
url http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172013000100014&lng=en&tlng=en
work_keys_str_mv AT douglasdnovaes perturbeddampedpendulumfindingperiodicsolutionsviaaveragingmethod
_version_ 1724480081727848448

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