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Centers and Isochronous Centers of Newton Systems with Force Function Quadratic in Velocities

Centers and Isochronous Centers of Newton Systems with Force Function Quadratic in Velocities 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Centers and Isochronous Centers of Newton Systems with Force Function Quadratic in Velocities

Differential Equations , Volume 55 (8) – Sep 12, 2019

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References (20)

Publisher
Springer Journals
Copyright
Copyright © 2019 by Pleiades Publishing, Ltd.
Subject
Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266119080019
Publisher site
See Article on Publisher Site

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.

Journal

Differential EquationsSpringer Journals

Published: Sep 12, 2019

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