Decay and Resonance of Coherent States

T.P. Valkering, E. van Groesen

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    Abstract

    We describe examples of two phenomena: the decay of a nonlinear coherent state under the influence of friction and the resonance of such a state due to a time periodic external forcing. In the latter case a period doubling transition to chaotic motion can be found as function of a parameter in the forcing. Essential is that in each case the state remains spatially coherent. The main features of these phenomena can be described with only two observables: say the amplitude and the phase of the coherent state. Here one method is given to choose these observables properly and to formulate their equations of motion in each case.
    Original languageEnglish
    Title of host publicationNonlinear Dynamics in Engineering Systems
    Subtitle of host publicationIUTAM symposium, Stuttgart, FRG, August 21-25, 1989
    EditorsWerner O. Schiehlen
    Place of PublicationBerlin
    PublisherSpringer
    Pages329-335
    ISBN (Print)9783540502005
    Publication statusPublished - 1990
    EventIUTAM Symposium on Nonlinear Dynamics in Engineering Systems 1989 - Stuttgart, Germany
    Duration: 21 Aug 198925 Aug 1989

    Conference

    ConferenceIUTAM Symposium on Nonlinear Dynamics in Engineering Systems 1989
    CountryGermany
    CityStuttgart
    Period21/08/8925/08/89

    Keywords

    • IR-56250

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  • Cite this

    Valkering, T. P., & van Groesen, E. (1990). Decay and Resonance of Coherent States. In W. O. Schiehlen (Ed.), Nonlinear Dynamics in Engineering Systems: IUTAM symposium, Stuttgart, FRG, August 21-25, 1989 (pp. 329-335). Berlin: Springer.