Existence and stability of periodic solutions for a forced pendulum with time-dependent damping
Abstract In this paper, we study the existence, multiplicity and stability of periodic solutions for a forced pendulum with time-dependent damping. The proof is based on the third order approximation method and a suitable version of the Poincaré–Birkhoff fixed point theorem.
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-07-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-018-1028-5 |
| _version_ | 1818856737752481792 |
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| author | Fang-Fang Liao Zaitao Liang |
| author_facet | Fang-Fang Liao Zaitao Liang |
| author_sort | Fang-Fang Liao |
| collection | DOAJ |
| description | Abstract In this paper, we study the existence, multiplicity and stability of periodic solutions for a forced pendulum with time-dependent damping. The proof is based on the third order approximation method and a suitable version of the Poincaré–Birkhoff fixed point theorem. |
| first_indexed | 2024-12-19T08:29:15Z |
| format | Article |
| id | doaj.art-f1b110065d7a40908717c35fed528d8b |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-12-19T08:29:15Z |
| publishDate | 2018-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-f1b110065d7a40908717c35fed528d8b2022-12-21T20:29:14ZengSpringerOpenBoundary Value Problems1687-27702018-07-012018111510.1186/s13661-018-1028-5Existence and stability of periodic solutions for a forced pendulum with time-dependent dampingFang-Fang Liao0Zaitao Liang1Department of Mathematics, Southeast UniversityCollege of Science, Hohai UniversityAbstract In this paper, we study the existence, multiplicity and stability of periodic solutions for a forced pendulum with time-dependent damping. The proof is based on the third order approximation method and a suitable version of the Poincaré–Birkhoff fixed point theorem.http://link.springer.com/article/10.1186/s13661-018-1028-5Damped pendulumThird order approximation methodPoincaré–Birkhoff fixed point theorem |
| spellingShingle | Fang-Fang Liao Zaitao Liang Existence and stability of periodic solutions for a forced pendulum with time-dependent damping Boundary Value Problems Damped pendulum Third order approximation method Poincaré–Birkhoff fixed point theorem |
| title | Existence and stability of periodic solutions for a forced pendulum with time-dependent damping |
| title_full | Existence and stability of periodic solutions for a forced pendulum with time-dependent damping |
| title_fullStr | Existence and stability of periodic solutions for a forced pendulum with time-dependent damping |
| title_full_unstemmed | Existence and stability of periodic solutions for a forced pendulum with time-dependent damping |
| title_short | Existence and stability of periodic solutions for a forced pendulum with time-dependent damping |
| title_sort | existence and stability of periodic solutions for a forced pendulum with time dependent damping |
| topic | Damped pendulum Third order approximation method Poincaré–Birkhoff fixed point theorem |
| url | http://link.springer.com/article/10.1186/s13661-018-1028-5 |
| work_keys_str_mv | AT fangfangliao existenceandstabilityofperiodicsolutionsforaforcedpendulumwithtimedependentdamping AT zaitaoliang existenceandstabilityofperiodicsolutionsforaforcedpendulumwithtimedependentdamping |