Energy growth for a nonlinear oscillator coupled to a monochromatic wave
classification
🧮 math.DS
keywords
oscillatorenergywavechaoticcoupledmonochromaticbehaviourbilliard-like
read the original abstract
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 behaviour of the oscillator can cause the transfer of energy from a monochromatic wave to the oscillator, whose energy can grow without bound.
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