Perturbations of degenerate coisotropic invariant tori of Hamiltonian systems

We consider a Hamiltonian system with a one-parameter family of degenerate coisotropic invariant tori. We prove a theorem on the preservation of the majority of tori under small perturbations of the Hamiltonian.

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Bibliographic Details
Date:1998
Main Authors: Parasyuk, I. O., Парасюк, І. О.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 1998
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4973
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal