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dc.contributor.authorShibayama, Mitsuruen
dc.contributor.authorYamada, Junjien
dc.contributor.alternative柴山, 允瑠ja
dc.contributor.alternative山田, 淳二ja
dc.date.accessioned2022-04-05T09:11:00Z-
dc.date.available2022-04-05T09:11:00Z-
dc.date.issued2021-07-
dc.identifier.urihttp://hdl.handle.net/2433/269186-
dc.description.abstractWe consider the planar three-body problem with generalized potentials. Some nonintegrability results for these systems have been obtained by analyzing the variational equations along homothetic solutions. But we cannot apply it to several exceptional cases. For example, in the case of inverse-square potentials, the variational equations along homothetic solutions are solvable. We obtain sufficient conditions for nonintegrability for these exceptional cases by focusing on some particular solutions that are different from homothetic solutions.en
dc.language.isoeng-
dc.publisherPleiades Publishing Ltden
dc.publisherSpringer Natureen
dc.rightsThis version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1134/s1560354721040079en
dc.rightsThe full-text file will be made open to the public on 09 August 2022 in accordance with publisher's 'Terms and Conditions for Self-Archiving'.en
dc.rightsThis 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。en
dc.subjectnonintegrabilityen
dc.subjectthree-body problemen
dc.titleNonintegrability of the Reduced Planar Three-body Problem with Generalized Forceen
dc.typejournal article-
dc.type.niitypeJournal Article-
dc.identifier.jtitleRegular and Chaotic Dynamicsen
dc.identifier.volume26-
dc.identifier.issue4-
dc.identifier.spage439-
dc.identifier.epage455-
dc.relation.doi10.1134/s1560354721040079-
dc.textversionauthor-
dcterms.accessRightsopen access-
datacite.date.available2022-08-09-
datacite.awardNumber18K03366-
datacite.awardNumber.urihttps://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18K03366/-
dc.identifier.pissn1560-3547-
dc.identifier.eissn1468-4845-
jpcoar.funderName日本学術振興会ja
jpcoar.awardTitle変分法による周期軌道の個数評価と分岐解析および複雑な軌道の存在証明ja
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