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On Some Properties of the Behavior of Linear Extensions of Dynamical Systems on a Torus under Perturbation of Phase Variables

We investigate classes of linear extensions of dynamical systems on a torus for which the Lyapunov functions exist for an arbitrary flow on the torus. Linear extensions for which the Lyapunov functions exist only with varying coefficients are considered separately. We investigate the problem of pres...

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Bibliographic Details
Date:	2002
Main Authors:	Samoilenko, A. M., Stepanenko, N. V., Самойленко, А. М., Степаненко, Н. В.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2002
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4077
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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