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| File | Description | Size | Format | |
|---|---|---|---|---|
| dcds.2017116.pdf | 121.64 kB | Adobe PDF | View/Open |
| Title: | Periodic solutions for a prescribed-energy problem of singular hamiltonian systems |
| Authors: | Shibayama, Mitsuru   |
| Author's alias: | 柴山, 允瑠 |
| Keywords: | Periodic solutions Hamiltonian systems variational problems |
| Issue Date: | May-2017 |
| Publisher: | American Institute of Mathematical Sciences |
| Journal title: | Discrete and Continuous Dynamical Systems- Series A |
| Volume: | 37 |
| Issue: | 5 |
| Start page: | 2705 |
| End page: | 2715 |
| Abstract: | We study the existence of periodic solutions for a prescribed-energy problem of Hamiltonian systems whose potential function has a singularity at the origin like −1/|q|α(q∈RN). It is known that there exist generalized periodic solutions which may have collisions, and the number of possible collisions has been estimated. In this paper we obtain a new estimation of the number of collisions. Especially we show that the obtained solutions have no collision if N ≥ 2 and α > 1. |
| Rights: | This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Discrete and Continuous Dynamical Systems- Series A following peer review. The definitive publisher-authenticated version Mitsuru Shibayama. Periodic solutions for a prescribed-energy problem of singular Hamiltonian systems. Discrete & Continuous Dynamical Systems - A, 2017, 37 (5) : 2705-2715. is available online at: http://aimsciences.org//article/doi/10.3934/dcds.2017116. This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 |
| URI: | http://hdl.handle.net/2433/240720 |
| DOI(Published Version): | 10.3934/dcds.2017116 |
| Appears in Collections: | Journal Articles |
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