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22 October 2021
 
  » arxiv » 1203.4113

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On phenomenon of scattering on resonances associated with discretisation of systems with fast rotating phase
Anatoly Neishtadt ; Tan Su ;
Date 19 Mar 2012
AbstractNumerical integration of ODEs by standard numerical methods reduces a 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 system with one fast rotating phase lead to a situation of such kind: numerical solution demonstrate phenomenon of scattering on resonances that is absent in the original system.
Source arXiv, 1203.4113
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