Bifurcation of a Whitney-Smooth Family of Coisotropic Invariant Tori of a Hamiltonian System under Small Deformations of a Symplectic Structure

We investigate the influence of small deformations of a symplectic structure and perturbations of the Hamiltonian on the behavior of a completely integrable Hamiltonian system. We show that a Whitney-smooth family of coisotropic invariant tori of the perturbed system emerges in the neighborhood of a...

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Bibliographic Details
Date:2001
Main Authors: Kubichka, A. A., Parasyuk, I. O., Кубічка, А. А., Парасюк, І. О.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2001
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4284
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal

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