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Energy Growth for a Nonlinear Oscillator Coupled to a Monochromatic Wave
Dmitry V. Turaevab, Christopher Warnerba, Sergey Zelikab a University of Surrey, Guildford, Surrey GU2 7XH, UK
b Imperial College, SW7 2 AZ London, UK
Аннотация:
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.
Ключевые слова:
delayed equation, invariant manifold, normal hyperbolicity, billiard
DOI:
https://doi.org/10.1134/S1560354714040078
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Статья
MSC: 35B05, 35B42, 37K49 Поступила в редакцию: 04.04.2014 Принята в печать:17.05.2014
Язык публикации: английский
Образец цитирования:
Dmitry V. Turaev, Christopher Warner, Sergey Zelik, “Energy Growth for a Nonlinear Oscillator Coupled to a Monochromatic Wave”, Regul. Chaotic Dyn., 19:4 (2014), 513–522
Цитирование в формате AMSBIB
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\by Dmitry~V.~Turaev, Christopher~Warner, Sergey Zelik
\paper Energy Growth for a Nonlinear Oscillator Coupled to a Monochromatic Wave
\jour Regul. Chaotic Dyn.
\yr 2014
\vol 19
\issue 4
\pages 513--522
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http://mi.mathnet.ru/rcd178 http://mi.mathnet.ru/rus/rcd/v19/i4/p513
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