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Turaev D. V., Warner C., Zelik S.
Energy Growth for a Nonlinear Oscillator Coupled to a Monochromatic Wave
2014, vol. 19, no. 4, pp. 513-522
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.