Capture into Resonance and Scattering on Resonances in Two-Frequency Systems

A. I. Neishtadt

Informatics and Automation, Differential equations and dynamical systems, Tome 250 (2005), pp. 198-218.

Résumé

Small perturbations imposed on an integrable system cause a slow evolution. During this evolution, the system may pass through a resonance state. In the paper, asymptotic formulas that describe associated phenomena, such as capture into a resonance and scattering by a resonance, are presented.

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