Dynamical Bifurcation of Multifrequency Oscillations in a Fast-Slow System

We study a dynamical analog of bifurcations of invariant tori for a system of interconnected fast phase variables and slowly varying parameters. It is shown that, in this system, due to the slow evolution of the parameters, we observe the appearance of transient processes (from the damping process t...

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Bibliographic Details
Date:2015
Main Authors: Parasyuk, I. O., Repeta, B. V., Samoilenko, A. M., Парасюк, І. О., Репета, Б. В., Самойленко, А. М.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2015
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2032
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal