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


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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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