18 citations · 85 across the 15 of their papers we have counts for
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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…
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…