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

SAKAJO, Takashi

Physica D: Nonlinear Phenomena, 2004, 196(3-4), 243-264

Permalink : https://hdl.handle.net/2115/8558

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アクセス権	open access
URI	https://hdl.handle.net/2115/8558
タイトル	Transition of global dynamics of a polygonal vortex ring on a sphere with pole vortices
著者	e-Rad_Researcher 10303603 著者名 SAKAJO, Takashi
言語	英語
キーワード	Vortex points
	Flows on sphere
	Transition of periodic orbits
発行日	2004-09
出版者	Elsevier
収録物名	Physica D: Nonlinear Phenomena
巻(号)	196(3-4)
ページ	243-264
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.
資源タイプ	学術雑誌論文
出版タイプ	Accepted Manuscript
PISSN	0167-2789
関連情報	URI http://www.sciencedirect.com/science/journal/01672789
関連情報 (isVersionOf)	出版社版DOI https://doi.org/10.1016/j.physd.2004.05.009