Symmetries of center singularities of plane vector fields

Let D² ⊂ R² be a closed unit 2-disk centered at the origin O ∈ R², and F be a smooth vector field such that O is a unique singular point of F and all other orbits of F are simple closed curves wrapping once around O. Thus topologically O is a «center» singularity. Let θ : D² \ {O} → (0, +∞ ) be the...

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Bibliographic Details
Date:2010
Main Author: Maksymenko, S.I.
Format: Article
Language:English
Published: Інститут математики НАН України 2010
Series:Нелінійні коливання
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/174925
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Symmetries of center singularities of plane vector fields / S.I. Maksymenko // Нелінійні коливання. — 2010. — Т. 13, № 2. — С. 177-205. — Бібліогр.: 30 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine