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タイトル: | Analytic extension of the Birkhoff normal forms for the free rigid body dynamics on SO(3) |
著者: | Françoise, Jean-Pierre Tarama, Daisuke |
著者名の別形: | 多羅間, 大輔 |
キーワード: | Birkhoff normal form analytic extension free rigid body elliptic fibration monodromy |
発行日: | 1-May-2015 |
出版者: | IOP Publishing |
誌名: | Nonlinearity |
巻: | 28 |
号: | 5 |
開始ページ: | 1193 |
終了ページ: | 1216 |
抄録: | Birkhoff normal form is a power series expansion associated with the local behaviour of the Hamiltonian systems near a critical point. It is known that around the critical point one can take a convergent canonical transformation which puts the Hamiltonian into Birkhoff normal form for integrable systems under some non-degeneracy conditions. By means of an expression of the derivative for the inverse of Birkhoff normal form by a period integral, analytic continuation of the Birkhoff normal forms is considered for the free rigid body dynamics on SO(3). It is shown that the monodromy of the analytic continuation for the derivative of the inverse for the Birkhoff normal forms coincides with that of an elliptic fibration which naturally arises from the dynamics. |
著作権等: | This is an author-created, un-copyedited version of an article accepted for publication in 'Nonlinearity'. The publisher is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://dx.doi.org/10.1088/0951-7715/28/5/1193. The full-text file will be made open to the public on 1 May 2016 in accordance with publisher's 'Terms and Conditions for Self-Archiving'. 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/2433/203275 |
DOI(出版社版): | 10.1088/0951-7715/28/5/1193 |
出現コレクション: | 学術雑誌掲載論文等 |
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