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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Date: | 2010 |
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Main Author: | |
Format: | Article |
Language: | English |
Published: |
Інститут математики НАН України
2010
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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. |