The effect of damping on autoresonant (nonstationary) excitation

J. Fajans*, E. Gilson, L. Friedland

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

32 Scopus citations

Abstract

When a nonlinear oscillator with an amplitude dependent frequency is driven by a swept frequency drive, the oscillator's amplitude will, in some circumstances, automatically adjust itself so that the oscillator's nonlinear frequency closely matches the drive frequency. This phenomenon is called autoresonance, and allows the amplitude of the oscillator to be controlled simply by sweeping the drive frequency. Previous studies of autoresonance were in undamped systems; the effect of damping on autoresonance is considered here. In particular, the question of a threshold for entering autoresonance in a dissipative system is investigated. The resulting theory accurately describes the behavior of experiments on the diocotron mode in pure-electron plasmas.

Original languageEnglish
Pages (from-to)423-427
Number of pages5
JournalPhysics of Plasmas
Volume8
Issue number2
DOIs
StatePublished - Feb 2001

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