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)

Access to Document

10.1134/S1560354714040078

Cite this

@article{0170d25b6e2b44aabd3e29402342a33f,

title = "Energy growth for a nonlinear oscillator coupled to a monochromatic wave",

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.",

keywords = "billiard, delayed equation, invariant manifold, normal hyperbolicity",

author = "Turaev, \{Dmitry V.\} and Christopher Warner and Sergey Zelik",

note = "Publisher Copyright: {\textcopyright} 2014, Pleiades Publishing, Ltd.",

year = "2014",

month = jul,

day = "1",

doi = "10.1134/S1560354714040078",

language = "English",

volume = "19",

pages = "513--522",

journal = "Regular and Chaotic Dynamics",

issn = "1560-3547",

publisher = "Pleiades Publishing",

number = "4",

}

TY - JOUR

T1 - Energy growth for a nonlinear oscillator coupled to a monochromatic wave

AU - Turaev, Dmitry V.

AU - Warner, Christopher

AU - Zelik, Sergey

PY - 2014/7/1

Y1 - 2014/7/1

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.

KW - billiard

KW - delayed equation

KW - invariant manifold

KW - normal hyperbolicity

UR - https://www.scopus.com/pages/publications/84926340432

U2 - 10.1134/S1560354714040078

DO - 10.1134/S1560354714040078

M3 - Article

AN - SCOPUS:84926340432

SN - 1560-3547

VL - 19

SP - 513

EP - 522

JO - Regular and Chaotic Dynamics

JF - Regular and Chaotic Dynamics

IS - 4

ER -

Energy growth for a nonlinear oscillator coupled to a monochromatic wave

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this