On the denseness of nonintegrable Hamiltonian systems of the reduced three-body problem with pairwise interaction

The class of Hamiltonian systems of the reduced three-body problem with pairwise interaction is considered. It is proved that nonintegrable Hamiltonian systems in that class make up an everywhere dense subset.

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Bibliographic Details
Date:2006
Main Authors: Pidkuyko, S., Підкуйко, С.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2006
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/464
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine