Energy growth for a nonlinear oscillator coupled to a monochromatic wave

Dmitry V. Turaev; Christopher Warner; Sergey Zelik

doi:10.1134/S1560354714040078

Energy growth for a nonlinear oscillator coupled to a monochromatic wave

Dmitry V. Turaev, Christopher Warner, Sergey Zelik

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	513-522
Number of pages	10
Journal	Regular and Chaotic Dynamics
Volume	19
Issue number	4
DOIs	https://doi.org/10.1134/S1560354714040078
State	Published - 1 Jul 2014
Externally published	Yes

Keywords

billiard
delayed equation
invariant manifold
normal hyperbolicity

ASJC Scopus subject areas

Mathematics (miscellaneous)

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10.1134/S1560354714040078

Cite this

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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.",

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AU - Warner, Christopher

AU - Zelik, Sergey

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N2 - 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.

AB - 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.

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KW - invariant manifold

KW - normal hyperbolicity

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Energy growth for a nonlinear oscillator coupled to a monochromatic wave

Abstract

Keywords

ASJC Scopus subject areas

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