Dynamical Bifurcation of Multifrequency Oscillations in a Fast-Slow System

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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Veröffentlicht in:Ukrainian mathematical journal 2015-12, Vol.67 (7), p.1008-1037
Hauptverfasser: Samoilenko, A. M., Parasyuk, I. O., Repeta, B. V.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Statistics
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Zusammenfassung: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.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-015-1133-x