Far Eastern Mathematical Journal

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Asymptotic Formulae for Dynamic Characteristics of a Particle in the Vicinity of Resonance


M. A. Guzev

2012, issue 2, Ń. 171–183


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.

Keywords:
nonlinear dynamics, nonlinear resonance, Lennard — Jones potential, asymptotic behavior

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References

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