18 citations · 85 across the 15 of their papers we have counts for
4 papers · 1 filter
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…