Homoclinic chaos in the discrete self-trapping trimer

D. Hennig, H. Gabriel, Michael Finn Jørgensen, Peter Leth Christiansen, Carl A. Balslev Clausen

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    Abstract

    We study the discrete self-trapping (DST) equation with three degrees of freedom. By taking the DST dimer as the underlying unperturbed system we treat the coupling to the additional oscillator as a small perturbation. Using the generalized Melnikov method we prove the existence of homoclinic chaos in the DST-trimer dynamics.
    Original languageEnglish
    JournalPhysical Review E. Statistical, Nonlinear, and Soft Matter Physics
    Volume51
    Issue number4
    Pages (from-to)2870-2876
    ISSN1063-651X
    DOIs
    Publication statusPublished - 1995

    Bibliographical note

    Copyright (1995) by the American Physical Society.

    Keywords

    • HAMILTONIAN-SYSTEMS
    • NONLINEAR DIRECTIONAL COUPLER
    • EXPONENTS
    • EQUATION
    • FREEDOM
    • DYNAMICS

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