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Nilpotent flows of S1-invariant Hamiltonian systems on 4-dimensional symplectic manifolds

We investigate S1-invariant Hamiltonian systems on compact 4-dimensional symplectic manifolds with free symplectic action of a circle. We show that, in a rather general case, such systems generate ergodic flows of types (quasiperiodic and nilpotent) on their isoenergetic surfaces. We solve the probl...

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Bibliographic Details
Date:	1997
Main Authors:	Parasyuk, I. O., Samoilenko, A. M., Парасюк, І. О., Самойленко, А. М.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 1997
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4991
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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