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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2005, Volume 250, Pages 198–218 (Mi tm38)  
This article is cited in 31 scientific papers (total in 31 papers)

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

A. I. Neishtadt

Space Research Institute, Russian Academy of Sciences
Full-text PDF (287 kB) Citations (31)
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Abstract: 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.
Received in January 2005
Bibliographic databases:
UDC: 531.36
Language: Russian
Citation: A. I. Neishtadt, “Capture into Resonance and Scattering on Resonances in Two-Frequency Systems”, Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 250, Nauka, MAIK «Nauka/Inteperiodika», M., 2005, 198–218; Proc. Steklov Inst. Math., 250 (2005), 183–203
Citation in format AMSBIB
\Bibitem{Nei05}
\by A.~I.~Neishtadt
\paper Capture into Resonance and Scattering on Resonances in Two-Frequency Systems
\inbook Differential equations and dynamical systems
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2005
\vol 250
\pages 198--218
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm38}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2200915}
\zmath{https://zbmath.org/?q=an:1127.34026}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2005
\vol 250
\pages 183--203
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    • This publication is cited in the following 31 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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