Scattering By Resonances

Small perturbations imposed on an integrable system produce an evolution of the motion. In the course of this evolution the system can pass through a state of resonance. Quasi-random phenomena of capture into the resonance and scattering on the resonance are discussed in this paper for the case of a two-frequency system. Major topics are calculation of probability of capture, description of the motion of the captured phase points, calculation of a probabilistic distribution of the scattering amplitude.

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