18 citations · 85 across the 15 of their papers we have counts for
15 papers
Asymptotic regimes in oscillatory systems with damped non-resonant perturbations
Oskar A. Sultanov
An autonomous system of ordinary differential equations describing nonlinear oscillations on the plane is considered. The influence of time-dependent perturbations decaying at infi…
Long-term behaviour of asymptotically autonomous Hamiltonian systems with multiplicative noise
O. A. Sultanov
The influence of multiplicative stochastic perturbations on the class of asymptotically Hamiltonian systems on the plane is investigated. It is assumed that disturbances do not pre…
Bifurcations in asymptotically autonomous Hamiltonian systems under multiplicative noise
O. A. Sultanov
The effect of multiplicative stochastic perturbations on Hamiltonian systems on the plane is investigated. It is assumed that perturbations fade with time and preserve a stable equ…
Resonances in asymptotically autonomous systems with a decaying chirped-frequency excitation
Oskar Sultanov
The influence of oscillatory perturbations on autonomous strongly nonlinear systems in the plane is investigated. It is assumed that the intensity of perturbations decays with time…
Damped perturbations of systems with centre-saddle bifurcation
Oskar Sultanov
An autonomous system of ordinary differential equations in the plane with a centre-saddle bifurcation is considered. The influence of time damped perturbations with power-law asymp…
Bifurcations in asymptotically autonomous Hamiltonian systems under oscillatory perturbations
Oskar Sultanov
The effect of decaying oscillatory perturbations on autonomous Hamiltonian systems in the plane with a stable equilibrium is investigated. It is assumed that perturbations preserve…
Autoresonance in oscillating systems with combined excitation and weak dissipation
Oskar Sultanov
A mathematical model describing the initial stage of the capture into autoresonance for nonlinear oscillating systems with combined parametric and external excitation is considered…
Stability and bifurcation phenomena in asymptotically Hamiltonian systems
Oskar A. Sultanov
The influence of time-dependent perturbations on an autonomous Hamiltonian system with an equilibrium of center type is considered. It is assumed that the perturbations decay at in…
Bifurcations of autoresonant modes in oscillating systems with combined excitation
Oskar Sultanov
A mathematical model describing the capture of nonlinear systems into the autoresonance by a combined parametric and external periodic slowly varying perturbation is considered. Th…
Asymptotic analysis of exit time for dynamical systems with a single well potential
D. Borisov, O. Sultanov
We study the exit time from a bounded multi-dimensional domain of the stochastic process , , $a\in \mathcal{A}…
Asymptotic analysis of the autoresonance capture in oscillating systems with combined excitation
Oskar Sultanov
A mathematical model of autoresonance in nonlinear systems with combined parametric and external chirped frequency excitation is considered. Solutions with a growing amplitude and…
Capture into parametric autoresonance in the presence of noise
Oskar Sultanov
System of differential equations describing the initial stage of the capture of oscillatory systems into the parametric autoresonance is considered. Of special interest are solutio…
Stabilization of unstable autoresonant modes
Oskar Sultanov
A mathematical model describing the initial stage of the capture of oscillatory systems into autoresonance under the action of slowly varying pumping is considered. Solutions with…
White noise perturbation of locally stable dynamical systems
Oskar Sultanov
The influence of small random perturbations on a deterministic dynamical system with a locally stable equilibrium is considered. The perturbed system is described by the Itô stocha…
Stability of parametric autoresonance under random perturbations
Oskar Sultanov
A mathematical model describing the initial stage of the capture into the parametric autoresonance in nonlinear oscillating systems with a dissipation is considered. Solutions with…