Energy Growth for a Nonlinear Oscillator Coupled to a Monochromatic Wave

    2014, Volume 19, Number 4, pp.  513-522

    Author(s): Turaev D. V., Warner C., Zelik S.

    A system consisting of a chaotic (billiard-like) oscillator coupled to a linear wave equation in the three-dimensional space is considered. It is shown that the chaotic behavior of the oscillator can cause the transfer of energy from a monochromatic wave to the oscillator, whose energy can grow without bound.
    Keywords: delayed equation, invariant manifold, normal hyperbolicity, billiard
    Citation: Turaev D. V., Warner C., Zelik S., Energy Growth for a Nonlinear Oscillator Coupled to a Monochromatic Wave, Regular and Chaotic Dynamics, 2014, Volume 19, Number 4, pp. 513-522
    DOI: 10.1134/S1560354714040078



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