Dynamics of weakly overdamped nonlinear oscillators

The dynamics of weakly overdamped nonlinear oscillators is studied. Weak overdamping is defined as a slight excess in the value of the damping decrement corresponding to the eigenfrequency of an oscillator. Based on exact solutions to the problem, it is shown that in approaching equilibrium, relaxat...

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Veröffentlicht in:Bulletin of the Russian Academy of Sciences. Physics 2012-12, Vol.76 (12), p.1292-1296
Hauptverfasser: Brezhnev, Yu. V., Sazonov, S. V.
Format: Artikel
Sprache:eng
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Zusammenfassung:The dynamics of weakly overdamped nonlinear oscillators is studied. Weak overdamping is defined as a slight excess in the value of the damping decrement corresponding to the eigenfrequency of an oscillator. Based on exact solutions to the problem, it is shown that in approaching equilibrium, relaxation dynamics is replaced by a quasi-oscillation process, provided that the initial shift exceeds the threshold value.
ISSN:1062-8738
1934-9432
DOI:10.3103/S1062873812120052