关于与快速旋转相位系统离散化相关的共振散射现象
On phenomenon of scattering on resonances associated with discretisation of systems with fast rotating phase
摘要：
用标准数值方法对常微分方程进行数值积分，可以将连续时间问题转化为离散时间问题。离散时间问题具有连续时间问题所没有的内在性质。因此，常微分方程的数值解可以表现出原常微分方程中不存在的动力学现象。我们表明，数值积分的系统与一个快速旋转的相位导致这样的情况：数值解演示的现象，散射的共振，是不存在的原始系统。
英文摘要：
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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