Dynamical Bifurcation of Multifrequency Oscillations in a Fast-Slow System

  • I. O. Parasyuk
  • B. V. Repeta
  • A. M. Samoilenko

Abstract

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 to multifrequency oscillations) asymptotically close to motions on the invariant torus.
Published
25.07.2015
How to Cite
ParasyukI. O., RepetaB. V., and SamoilenkoA. M. “Dynamical Bifurcation of Multifrequency Oscillations in a Fast-Slow System”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 67, no. 7, July 2015, pp. 890-15, http://umj.imath.kiev.ua/index.php/umj/article/view/2032.
Section
Research articles