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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     author = {M. A. Guzev},
     title = {Asymptotic {Formulae} for {Dynamic} {Characteristics} of a {Particle} in the {Vicinity} of {Resonance}},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {171--183},
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     volume = {12},
     number = {2},
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     url = {http://geodesic.mathdoc.fr/item/DVMG_2012_12_2_a4/}
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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/