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Dal'nevostochnyi Matematicheskii Zhurnal, 2012, Volume 12, Number 2, Pages 171–183 (Mi dvmg238)  
Asymptotic Formulae for Dynamic Characteristics of a Particle in the Vicinity of Resonance

M. A. Guzev

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok
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Abstract: Asymptotic formulae for the action-angle variables are constructed for low and high-energy particles in the vicinity of a nonlinear resonance. Estimation of the approximation accuracy with respect to the energy parameter and some characteristics of the model Hamiltonian are obtained.
Key words: nonlinear dynamics, nonlinear resonance, Lennard — Jones potential, asymptotic behavior.
Received: 06.07.2012
Document Type: Article
UDC: 551.465.7
MSC: 35B38
Language: Russian
Citation: M. A. Guzev, “Asymptotic Formulae for Dynamic Characteristics of a Particle in the Vicinity of Resonance”, Dal'nevost. Mat. Zh., 12:2 (2012), 171–183
Citation in format AMSBIB
\Bibitem{Guz12}
\by M.~A.~Guzev
\paper Asymptotic Formulae for Dynamic Characteristics of a Particle in the Vicinity of Resonance
\jour Dal'nevost. Mat. Zh.
\yr 2012
\vol 12
\issue 2
\pages 171--183
\mathnet{http://mi.mathnet.ru/dvmg238}
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