A Conspiracy of Oscillators

Poul G. Hjorth (Invited author)

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review


    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.
    Original languageEnglish
    Title of host publicationProceedings of the Sixth EUROMECH Nonlinear Dynamics Conference : June 30 — July 4, 2008, Saint Petersburg, RUSSIA
    Publication date2008
    Publication statusPublished - 2008
    Event6th EUROMECH Nonlinear Dynamics Conference - St. Petersburg, Russian Federation
    Duration: 30 Jun 20084 Jul 2008
    Conference number: 6


    Conference6th EUROMECH Nonlinear Dynamics Conference
    Country/TerritoryRussian Federation
    CitySt. Petersburg
    Internet address


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