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Conference paper

A Conspiracy of Oscillators

In Proceedings of the Sixth Euromech Nonlinear Dynamics Conference — 2008
From

Department of Mathematics, Technical University of Denmark1

Dynamical systems, Department of Mathematics, Technical University of Denmark2

We discuss nonlinear mechanical systems containing several oscillators whose frequecies are all much higher than frequencies associated with the remaining degrees of freedom. In this situation a near constant of the motion, an adiabatic invariant, exists which is the sum of all the oscillator actions.

The phenomenon is illustrated, and calculations of the small change of the adiabatic invariant is outlined.

Language: English
Year: 2008
Proceedings: 6th EUROMECH Nonlinear Dynamics Conference
Journal subtitle: June 30 — July 4, 2008, Saint Petersburg, Russia
Types: Conference paper
ORCIDs: Hjorth, Poul G.

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