Dynamical bifurcation of multi-frequency oscillations in a fast-slow system
Classical Analysis and ODEs
2015-08-28 v2 Dynamical Systems
Abstract
We study a dynamical counterpart of bifurcation to invariant torus for a system of interconnected fast phase variables and slowly varying parameters. We show that in such a system, due to the slow evolution of parameters, there arise transient processes from damping oscillations to multi-frequency ones, asymptotically close to motions on the invariant torus.
Cite
@article{arxiv.1503.02000,
title = {Dynamical bifurcation of multi-frequency oscillations in a fast-slow system},
author = {A. M. Samoilenko and I. O. Parasyuk and B. V. Repeta},
journal= {arXiv preprint arXiv:1503.02000},
year = {2015}
}
Comments
22 pages