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arXiv · 1503.02000

Dynamical bifurcation of multi-frequency oscillations in a fast-slow system

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

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A. M. Samoilenko, I. O. Parasyuk, B. V. Repeta. 2015-03-06. Dynamical bifurcation of multi-frequency oscillations in a fast-slow system. https://arxiv.org/abs/1503.02000

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