20 citations · 43 across the 17 of their papers we have counts for
6 papers · 1 filter
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…
Hyperbolic Formulas in Elliptic Cauchy Problems
D. Fedchenko, N. Tarkhanov
We study the Cauchy problem for the Laplace equation in a cylindrical domain with data on a part of it's boundary which is a cross-section of the cylinder. On reducing the problem…
Phase Shift in the Whitham Zone for the Gurevich-Pitaevskii Special Solution of the Korteweg-de Vries Equation
R. Garifullin, B. Suleimanov, N. Tarkhanov
We get the leading term of the Gurevich-Pitaevskii special solution to the KdV equation in the oscillation zone without using averaging methods.
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…
Slow passage through parametric resonance for a weakly nonlinear dispersive wave
S. Glebov, O. Kiselev, N. Tarkhanov
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 reson…