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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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Datum:	2018
Hauptverfasser:	Skrypnik, W. I., Скрипник, В. І.
Format:	Artikel
Sprache:	Englisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2018
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/1573
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Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
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