Dynamical Bifurcation of Multifrequency Oscillations in a Fast-Slow System

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...