Parametric autoresonance

E. Khain*, B. Meerson

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

Abstract

A combined action of parametric resonance and autoresonance of resonant excitation of nonlinear oscillating systems was investigated. Averaging was performed over the fastest time scale corresponding to the natural frequency of the oscillator and the reduced set of equations were analyzed. The scale separation between the two remaining time scales enabling the use of adiabatic invariant of the perturbed nonlinear motion were used during the analysis. The parametric autoresonance was found to be a robust and efficient method for excitation of nonlinear oscillating systems.

Original languageAmerican English
Pages (from-to)366191-366198
Number of pages8
JournalPhysical Review E
Volume64
Issue number3 II
StatePublished - Sep 2001

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