5 citations · 7 across the 8 of their papers we have counts for
8 papers
System of nonlinear oscillators with dissipation. Initial interval of autoresonance
S. Glebov, N. Tarkhanov
We investigate an influence of dissipation on autoresonant threshold for a system of nonlinear oscillators. Exact asymptotic formulas and numerical simulations are presented. These…
Forced Nonlinear Resonance in a System of Coupled Oscillators
Sergei Glebov, Oleg Kiselev, Nikolai Tarkhanov
We consider a resonantly perturbed system of coupled nonlinear oscillators with small dissipation and outer periodic perturbation. We show that for the large time o…
Autoresonance in a Dissipative System
Sergei Glebov, Oleg Kiselev, Nikolai Tarkhanov
We study the autoresonant solution of Duffing's equation in the presence of dissipation. This solution is proved to be an attracting set. We evaluate the maximal amplitude of the a…
Autoresonant germ in dissipative system
Oleg Kiselev, Sergei Glebov
We study an initial stage of autoresonant growth of a solution in a dissipative system. We construct an asymptotic formula of an autoresonant germ that is an attractor for autoreso…
Scattering problem for the local parametric resonance equation
Oleg Kiselev, Yulia Bagderina, Sergei Glebov
In this paper we present the solution of local parametric resonance equation in terms of parabolic cylinder functions and solve the scattering problem for this equation.
The autoresonance threshold into a system of weakly coupled oscillators
Sergei Glebov, Oleg Kiselev, Vladimir Lazarev
We investigate a system of two weakly coupled oscillators. It is shown that an external periodic perturbation can lead to the capture into resonance. Asymptotic description and num…