Mechanical systems with singular equilibria and the Coulomb dynamics of three charges

We consider mechanical systems for which the matrices of second partial derivatives of the potential energies at equilibria have zero eigenvalues. It is assumed that their potential energies are holomorphic functions in these singular equilibrium states. For these systems, we prove the existence of...

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Bibliographic Details
Date:2018
Main Authors: Skrypnik, W. I., Скрипник, В. І.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2018
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1573
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal