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| File | Description | Size | Format | |
|---|---|---|---|---|
| j.jde.2018.04.037.pdf | 86.35 kB | Adobe PDF | View/Open |
| Title: | Non-integrability of the spacial n-center problem |
| Authors: | Shibayama, Mitsuru   |
| Author's alias: | 柴山, 允瑠 |
| Keywords: | Integrability The n-center problem Hamiltonian systems |
| Issue Date: | 15-Sep-2018 |
| Publisher: | Elsevier BV |
| Journal title: | Journal of Differential Equations |
| Volume: | 265 |
| Issue: | 6 |
| Start page: | 2461 |
| End page: | 2469 |
| Abstract: | We prove the non-integrability of the spacial n-center problem. In order to prove it, we focus on the singularity of the differential equations extended to the complex space and then apply the Morales–Ramis theory to it. We also show the non-integrability of the spacial restricted n+1-body problem. |
| Rights: | © 2018. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/. The full-text file will be made open to the public on 15 September 2020 in accordance with publisher's 'Terms and Conditions for Self-Archiving'. 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。 This is not the published version. Please cite only the published version. |
| URI: | http://hdl.handle.net/2433/240719 |
| DOI(Published Version): | 10.1016/j.jde.2018.04.037 |
| Appears in Collections: | Journal Articles |
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