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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 | | 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. | | Source: | arXiv, 1203.4113 | | Services: | Forum | Review | PDF | Favorites | |
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