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arXiv · 1203.4113

On phenomenon of scattering on resonances associated with discretisation of systems with fast rotating phase

Anatoly Neishtadt·Tan Su
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Abstract

Numerical 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.

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Anatoly Neishtadt, Tan Su. 2012-03-19. On phenomenon of scattering on resonances associated with discretisation of systems with fast rotating phase. https://doi.org/10.1134/s1560354712030100

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