English

Energy growth for a nonlinear oscillator coupled to a monochromatic wave

Dynamical Systems 2012-12-11 v1

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.

Keywords

Cite

@article{arxiv.1212.1932,
  title  = {Energy growth for a nonlinear oscillator coupled to a monochromatic wave},
  author = {Dmitry Turaev and Christopher Warner and Sergey Zelik},
  journal= {arXiv preprint arXiv:1212.1932},
  year   = {2012}
}