Geodesic
Asymptotic Formulae for Dynamic Characteristics of a Particle in the Vicinity of Resonance
Dalʹnevostočnyj matematičeskij žurnal, Tome 12 (2012) no. 2, pp. 171-183.

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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. 
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M. A. Guzev. Asymptotic Formulae for Dynamic Characteristics of a Particle in the Vicinity of Resonance. Dalʹnevostočnyj matematičeskij žurnal, Tome 12 (2012) no. 2, pp. 171-183. http://geodesic.mathdoc.fr/item/DVMG_2012_12_2_a4/

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