Periodic Orbits of Radially Symmetric Keplerian-Like Systems with a Singularity
We study planar radially symmetric Keplerian-like systems with repulsive singularities near the origin and with some semilinear growth near infinity. By the use of topological degree theory, we prove the existence of two distinct families of periodic orbits; one rotates around the origin with small...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/7134135 |
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| _version_ | 1849306283376640000 |
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| author | Shengjun Li Yuming Zhu |
| author_facet | Shengjun Li Yuming Zhu |
| author_sort | Shengjun Li |
| collection | DOAJ |
| description | We study planar radially symmetric Keplerian-like systems with repulsive singularities near the origin and with some semilinear growth near infinity. By the use of topological degree theory, we prove the existence of two distinct families of periodic orbits; one rotates around the origin with small angular momentum, and the other one rotates around the origin with both large angular momentum and large amplitude. |
| format | Article |
| id | doaj-art-382e56df856d46cd9aae42b2da26b13f |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-382e56df856d46cd9aae42b2da26b13f2025-08-20T03:55:11ZengWileyJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/71341357134135Periodic Orbits of Radially Symmetric Keplerian-Like Systems with a SingularityShengjun Li0Yuming Zhu1School of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, ChinaDepartment of Mathematics and Physics, Qiongtai Teachers College, Haikou 570228, ChinaWe study planar radially symmetric Keplerian-like systems with repulsive singularities near the origin and with some semilinear growth near infinity. By the use of topological degree theory, we prove the existence of two distinct families of periodic orbits; one rotates around the origin with small angular momentum, and the other one rotates around the origin with both large angular momentum and large amplitude.http://dx.doi.org/10.1155/2016/7134135 |
| spellingShingle | Shengjun Li Yuming Zhu Periodic Orbits of Radially Symmetric Keplerian-Like Systems with a Singularity Journal of Function Spaces |
| title | Periodic Orbits of Radially Symmetric Keplerian-Like Systems with a Singularity |
| title_full | Periodic Orbits of Radially Symmetric Keplerian-Like Systems with a Singularity |
| title_fullStr | Periodic Orbits of Radially Symmetric Keplerian-Like Systems with a Singularity |
| title_full_unstemmed | Periodic Orbits of Radially Symmetric Keplerian-Like Systems with a Singularity |
| title_short | Periodic Orbits of Radially Symmetric Keplerian-Like Systems with a Singularity |
| title_sort | periodic orbits of radially symmetric keplerian like systems with a singularity |
| url | http://dx.doi.org/10.1155/2016/7134135 |
| work_keys_str_mv | AT shengjunli periodicorbitsofradiallysymmetrickeplerianlikesystemswithasingularity AT yumingzhu periodicorbitsofradiallysymmetrickeplerianlikesystemswithasingularity |