18 citations · 85 across the 15 of their papers we have counts for
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math.DS2020★ 10 cited
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…
math.DS2020★ 17 cited
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…
math.DS2020★ 18 cited
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…