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Estimation of the number of ultrasubharmonics for a two-dimensional almost autonomous Hamiltonian system periodic in time

Using the Arnold method of detection of fixed points of symplectic diffeomorphisms, we find lower estimates for the number of ultrasubharmonics in a Hamiltonian system on a two-dimensional symplectic manifold with almost autonomous time-periodic Hamiltonian. We show that the asymptotic behavior of t...

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Bibliographic Details
Date:	2012
Main Authors:	Vakal, Yu. E., Parasyuk, I. O., Вакал, Ю. Є., Парасюк, І. О.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2012
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2590
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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