Energy growth for a nonlinear oscillator coupled to a monochromatic wave

Dmitry V. Turaev, Christopher Warner, Sergey Zelik

Research output: Contribution to journalArticlepeer-review

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 behavior of the oscillator can cause the transfer of energy from a monochromatic wave to the oscillator, whose energy can grow without bound.

Original languageEnglish
Pages (from-to)513-522
Number of pages10
JournalRegular and Chaotic Dynamics
Volume19
Issue number4
DOIs
StatePublished - 1 Jul 2014
Externally publishedYes

Keywords

  • billiard
  • delayed equation
  • invariant manifold
  • normal hyperbolicity

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

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