Differential Equations

, Volume 55, Issue 8, pp 1001–1010 | Cite as

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

  • V. V. Amel’kinEmail author
  • A. E. RudenokEmail author
Ordinary Differential Equations


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.


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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Belarus State UniversityMinskBelarus

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