Аннотация:
Numerical integration of ODEs by standard numerical methods reduces continuous time problems to discrete time problems. Discrete time problems have intrinsic properties that are absent in continuous time problems. As a result, numerical solution of an ODE may demonstrate dynamical phenomena that are absent in the original ODE. We show that numerical integration of systems with one fast rotating phase leads to a situation of such kind: numerical solution demonstrates phenomenon of scattering on resonances that is absent in the original system.
Ключевые слова:
systems with rotating phases, passage through a resonance, numerical integration, discretisation.
Поступила в редакцию: 16.03.2012 Принята в печать: 04.04.2012
Образец цитирования:
Anatoly Neishtadt, Tan Su, “On Phenomenon of Scattering on Resonances Associated with Discretisation of Systems with Fast Rotating Phase”, Regul. Chaotic Dyn., 17:3-4 (2012), 359–366
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\by Anatoly Neishtadt, Tan Su
\paper On Phenomenon of Scattering on Resonances Associated with Discretisation of Systems with Fast Rotating Phase
\jour Regul. Chaotic Dyn.
\yr 2012
\vol 17
\issue 3-4
\pages 359--366
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\crossref{https://doi.org/10.1134/S1560354712030100}
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\zmath{https://zbmath.org/?q=an:1256.65072}
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Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd407
https://www.mathnet.ru/rus/rcd/v17/i3/p359
Эта публикация цитируется в следующих 1 статьяx:
Christian Kuehn, Applied Mathematical Sciences, 191, Multiple Time Scale Dynamics, 2015, 619
Цитирование в формате AMSBIB
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