Исследовательская лаборатория им. П. Л. Чебышева

Oskar Sultanov

Researcher

Education

16.10.2015 — Ph.D. (C.Sc.) in Mathematics and Physics («Differential Equations, Dynamical Systems and Optimal Control»)
Institution: Institute of Mathematics with Computing Centre - Subdivision of the Ufa Federal Research Centre of Russian Academy of Science

06.2012 — Specialist Degree in Applied mathematics and informatics
Institution: Ufa State Aviation Technical University (USATU)

Scientific interests

nonlinear differential equations
stability
asymptotics
stochastic perturbations

Additional Information

oasultanov@gmail.com

Publications

15 Sultanov O.A. , Resonances in nonlinear systems with a decaying chirped-frequency excitation and noise; preprint (2024). РНФ 19-71-30002

14 Sultanov O.A., Long-term behaviour of asymptotically autonomous Hamiltonian systems with multiplicative noise; preprint (2022).

13 Sultanov O.A., Capture into resonance in nonlinear oscillatory systems with decaying perturbations, Journal of Mathematical Sciences, 262:3 (2022), 374-389.

12 Sultanov O.A., Bifurcations in asymptotically autonomous Hamiltonian systems subject to multiplicative noise, International Journal of Bifurcation and Chaos, 32:11 (2022), 2250164, 22 pp. РНФ 19-71-30002

11 Sultanov O.A., Resonances in asymptotically autonomous systems with a decaying chirped-frequency excitation, Discrete and Continuous Dynamical Systems Series B, 28:3 (2023), 1719–1749; preprint (2021). РНФ 19-71-30002

10 Sultanov O.A., On the almost sure stability of dynamical systems with respect to white noise, Journal of Mathematical Sciences, 252 (2021), 242–246.

9 Sultanov O.A., Bifurcations in asymptotically autonomous Hamiltonian systems under multiplicative noise, accepted for publication in International Journal of Bifurcation and Chaos; preprint (2021). РНФ 19-71-30002

8 Sultanov O.A., Decaying Oscillatory Perturbations of Hamiltonian Systems in the Plane, Journal of Mathematical Sciences 257:5 (2021), 705-719.

7 Sultanov O.A., Bifurcations in asymptotically autonomous Hamiltonian systems under oscillatory perturbations, Discrete & Continuous Dynamical Systems, 41:12 (2021), 5943-5978; preprint (2020). РНФ 19-71-30002

6 Sultanov O.A., Damped perturbations of systems with center-saddle bifurcation, International Journal of Bifurcation and Chaos, 31:9 (2021), 2150137; preprint (2020).

5 Sultanov O.A., Stability and bifurcation phenomena in asymptotically Hamiltonian systems; preprint (2020).

4 Borisov D.I., Sultanov O.A., Asymptotic analysis of mean exit time for dynamical systems with a single well potential, Journal of Differential Equations, 269:8 (2020), 78–116.

3 Sultanov O.A., Bifurcations of autoresonant modes in oscillating systems with combined excitation, Studies in Applied Mathematics, 144:2 (2020), 213–241.

2 Borisov D.I., Sultanov O.A., Complete asymptotics for solution of singularly perturbed dynamical systems with single well potential, Mathematics, 8:6 (2020), 949.

1 Sultanov O.A., Autoresonance in oscillating systems with combined excitation and weak dissipation, Physica D: Nonlinear Phenomena, 417 (2021), 132835; preprint (2020).