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

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

2012-03-19

arxiv.org/abs/1203.4113v1

Mathematics

Dynamical Systems

10 pages, 5 figures

Scientific paper

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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