arXiv subjects

S. Glebov

Publications and source records attributed to S. Glebov.

2 recordsLinked to original sources

arXiv2013

System of nonlinear oscillators with dissipation. Initial interval of autoresonance

We investigate an influence of dissipation on autoresonant threshold for a system of nonlinear oscillators. Exact asymptotic formulas and numerical simulations are presented. These results correspond to an initial interval of autoresonance.

math-ph↗

arXiv2008

Slow passage through parametric resonance for a weakly nonlinear dispersive wave

A solution of the nonlinear Klein-Gordon equation perturbed by a parametric driver is studied. The frequency of the parametric perturbation varies slowly and passes through a resonant value. It yields a change in a solution. We obtain a connection formula for the asymptotic solution before and after the resonance.

math-ph↗