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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| Format: | Article |
| Language: | Portuguese |
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Sociedade Brasileira de Física
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| Series: | Revista Brasileira de Ensino de Física |
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| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172013000100014&lng=en&tlng=en |
| _version_ | 1819015730689998848 |
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| author | Douglas D. Novaes |
| author_facet | Douglas D. Novaes |
| author_sort | Douglas D. Novaes |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-21T02:36:23Z |
| format | Article |
| id | doaj.art-8834abaa6daa4442bae8d1042371a113 |
| institution | Directory Open Access Journal |
| issn | 1806-1117 1806-9126 |
| language | Portuguese |
| last_indexed | 2024-12-21T02:36:23Z |
| publisher | Sociedade Brasileira de Física |
| record_format | Article |
| series | Revista Brasileira de Ensino de Física |
| spelling | doaj.art-8834abaa6daa4442bae8d1042371a1132022-12-21T19:18:47ZporSociedade 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 |
| 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 |
| title | 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_short | Perturbed damped pendulum: finding periodic solutions via averaging method |
| title_sort | perturbed damped pendulum finding periodic solutions via averaging method |
| 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 |