Geodesic
Capture into Resonance and Scattering on Resonances in Two-Frequency Systems
Informatics and Automation, Differential equations and dynamical systems, Tome 250 (2005), pp. 198-218

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{TRSPY_2005_250_a9,
     author = {A. I. Neishtadt},
     title = {Capture into {Resonance} and {Scattering} on {Resonances} in {Two-Frequency} {Systems}},
     journal = {Informatics and Automation},
     pages = {198--218},
     publisher = {mathdoc},
     volume = {250},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2005_250_a9/}
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A. I. Neishtadt. Capture into Resonance and Scattering on Resonances in Two-Frequency Systems. Informatics and Automation, Differential equations and dynamical systems, Tome 250 (2005), pp. 198-218. http://geodesic.mathdoc.fr/item/TRSPY_2005_250_a9/