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This article is cited in 1 scientific paper (total in 1 paper)
On Phenomenon of Scattering on Resonances Associated with Discretisation of Systems with Fast Rotating Phase
Anatoly Neishtadtab, Tan Sua a Dept. of Math. Sciences, Loughborough University, Loughborough, Leicestershire LE11 3TU, UK
b Space Research Institute (IKI), Profsoyuznaya ul. 84/32, Moscow 117997, Russia
Abstract:
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.
Keywords:
systems with rotating phases, passage through a resonance, numerical integration, discretisation.
Received: 16.03.2012 Accepted: 04.04.2012
Citation:
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
Linking options:
https://www.mathnet.ru/eng/rcd407 https://www.mathnet.ru/eng/rcd/v17/i3/p359
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