Email this article Centers and Isochronous Centers of Newton Systems with Force Function Quadratic in Velocities
- Authors: Amel’kin V.V.1, Rudenok A.E.1
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Affiliations:
- Belarus State University
- Issue: Vol 55, No 8 (2019)
- Pages: 1001-1010
- Section: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/155107
- DOI: https://doi.org/10.1134/S0012266119080019
- ID: 155107
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Abstract
Necessary and sufficient conditions are obtained for a center as well as an isochronous center of holomorphic Newton equations with force function quadratic in velocities. These conditions do not rely on calculating focus quantities and isochronicity constants.
About the authors
V. V. Amel’kin
Belarus State University
Author for correspondence.
Email: amelkin@bsu.by
Belarus, Minsk, 220030
A. E. Rudenok
Belarus State University
Author for correspondence.
Email: roudenok@bsu.by
Belarus, Minsk, 220030
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