Capture into Resonance and Scattering on Resonances in Two-Frequency Systems
Trudy Matematicheskogo Instituta imeni V.A. Steklova, 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{TM_2005_250_a9,
     author = {A. I. Neishtadt},
     title = {Capture into {Resonance} and {Scattering} on {Resonances} in {Two-Frequency} {Systems}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {198--218},
     publisher = {mathdoc},
     volume = {250},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2005_250_a9/}
}
TY  - JOUR
AU  - A. I. Neishtadt
TI  - Capture into Resonance and Scattering on Resonances in Two-Frequency Systems
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2005
SP  - 198
EP  - 218
VL  - 250
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2005_250_a9/
LA  - ru
ID  - TM_2005_250_a9
ER  - 
%0 Journal Article
%A A. I. Neishtadt
%T Capture into Resonance and Scattering on Resonances in Two-Frequency Systems
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2005
%P 198-218
%V 250
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2005_250_a9/
%G ru
%F TM_2005_250_a9
A. I. Neishtadt. Capture into Resonance and Scattering on Resonances in Two-Frequency Systems. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Differential equations and dynamical systems, Tome 250 (2005), pp. 198-218. http://geodesic.mathdoc.fr/item/TM_2005_250_a9/