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Transition of global dynamics of a polygonal vortex ring on a sphere with pole vortices

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タイトル: Transition of global dynamics of a polygonal vortex ring on a sphere with pole vortices
著者: SAKAJO, Takashi 著作を一覧する
キーワード: Vortex points
Flows on sphere
Transition of periodic orbits
発行日: 2004年 9月
出版者: Elsevier
誌名: Physica D: Nonlinear Phenomena
巻: 196
号: 3-4
開始ページ: 243
終了ページ: 264
出版社 DOI: 10.1016/j.physd.2004.05.009
抄録: We study the motion of a polygonal ring consists of identical vortex points that are equally spaced at a line of latitude on a sphere with vortex points fixed at the both poles. First, we calculate explicitly all the eigenvalues and the eigenvectors corresponding to them for the linearized problem, from which we consider the stability of the polygonal vortex ring in the presence of the pole vortices. Next, when the number of the vortex points is even in particular, the equations of the vortex points are reduced to those for a pair of two vortex points by assuming a special symmetry. Studying the reduced system mathematically and numerically, we describe an universal transition of global periodic motion of the perturbed polygonal ring. Moreover, we also discuss the stability of the periodic motion.
Relation (URI): http://www.sciencedirect.com/science/journal/01672789
資料タイプ: article (author version)
URI: http://hdl.handle.net/2115/8558
出現コレクション:雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

提供者: 坂上 貴之

 

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