Persons: Sultanov, Oskar Anvarovich

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Sultanov, Oskar Anvarovich

Total publications:	45 (45)
in MathSciNet:	29 (29)
in zbMATH:	26 (26)
in Web of Science:	28 (28)
in Scopus:	25 (25)
Cited articles:	27
Citations:	118
Presentations:	1

Number of views:
This page:	2421
Abstract pages:	3813
Full texts:	1236
References:	532

Candidate of physico-mathematical sciences (2015)

Speciality:

01.01.02 (Differential equations, dynamical systems, and optimal control)

E-mail:

Website:

https://chebyshev.spbu.ru/people/sultanov-oskar-anvarovich

Keywords:

differential equations, stability, asymptotic analysis, stochastic perturbations

UDC:

517.925, 517.928

MSC:

34D10, 34D20, 37J65

https://www.mathnet.ru/eng/person60718

https://scholar.google.com/citations?user=3o8bne4AAAAJ&hl=en

List of publications on ZentralBlatt

https://mathscinet.ams.org/mathscinet/MRAuthorID/1053466

https://elibrary.ru/author_items.asp?spin=7442-0766

https://orcid.org/0000-0003-1970-3382

https://www.webofscience.com/wos/author/record/B-1626-2016

https://www.scopus.com/authid/detail.url?authorId=42562037700

https://arxiv.org/a/sultanov_o_1

Full list of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)


2025
1.	O. A. Sultanov, “Nonlinear resonance in oscillatory systems with decaying perturbations”, Discrete and Continuous Dynamical Systems, 2025 (to appear) , arXiv: 2310.05770

2024
2.	O. A. Sultanov, “Stokhasticheskaya ustoichivost modeli avtorezonansa s bifurkatsiei tipa tsentr-sedlo”, Izvestiya vysshikh uchebnykh zavedenii. Prikladnaya nelineinaya dinamika, 32:2 (2024), 147–159
3.	O. A. Sultanov, “Asymptotic regimes in oscillatory systems with damped non-resonant perturbations”, Nonlinear Dynamics, 112:4 (2024), 2589–2609 , arXiv: 2305.16869
4.	O. A. Sultanov, “Stability of asymptotically Hamiltonian systems with damped oscillatory and stochastic perturbations”, Communications on Pure and Applied Analysis, 23:4 (2024), 432–462 , arXiv: 2306.07694
5.	O. A. Sultanov, “Resonance in isochronous systems with decaying oscillatory perturbations”, Qualitative Theory of Dynamical Systems, 23 (2024), 295 , 29 pp., arXiv: 2405.15238

2023
6.	O. A. Sultanov, “Resonances in asymptotically autonomous systems with a decaying chirped-frequency excitation”, Discrete and Continuous Dynamical Systems Series B, 28:3 (2023), 1719–1749 , arXiv: 2103.15882	1 ^[x]
7.	O. A. Sultanov, “Asymptotic analysis of systems with damped oscillatory perturbations”, Journal of Mathematical Sciences, 269:1 (2023), 111–128	2 ^[x]
8.	O. A. Sultanov, “Long-term behaviour of asymptotically autonomous Hamiltonian systems with multiplicative noise”, SIAM Journal on Applied Dynamical Systems, 22:3 (2023), 1818–1851 , arXiv: 2202.07973

2022
9.	O. A. Sultanov, “Capture into resonance in nonlinear oscillatory systems with decaying perturbations”, Journal of Mathematical Sciences, 262:3 (2022), 374–389
10.	O. A. Sultanov, “Stability and bifurcation phenomena in asymptotically Hamiltonian systems”, Nonlinearity, 35:5 (2022), 2513–2534 , arXiv: 2006.12957	6 ^[x]
11.	O. A. Sultanov, “Bifurcations in asymptotically autonomous Hamiltonian systems subject to multiplicative noise”, International Journal of Bifurcation and Chaos, 32:11 (2022), 2250164 , 22 pp., arXiv: 2112.00548	1 ^[x]

2021
12.	O. A. Sultanov, “Autoresonance in oscillating systems with combined excitation and weak dissipation”, Physica D: Nonlinear Phenomena, 417 (2021), 132835 , 11 pp., arXiv: 2009.08254	4 ^[x]
13.	O. A. Sultanov, “On the almost sure stability of dynamical systems with respect to white noise”, Journal of Mathematical Sciences, 252 (2021), 242–246
14.	O. A. Sultanov, “Damped perturbations of systems with centre-saddle bifurcation”, International Journal of Bifurcation and Chaos, 31:9 (2021), 2150137 , 20 pp., arXiv: 2012.12116	6 ^[x]
15.	O. A. Sultanov, “Bifurcations in asymptotically autonomous Hamiltonian systems under oscillatory perturbations”, Discrete & Continuous Dynamical Systems, 41:12 (2021), 5943–5978 , arXiv: 2010.05078	8 ^[x]
16.	O. A. Sultanov, “Decaying Oscillatory Perturbations of Hamiltonian Systems in the Plane”, Journal of Mathematical Sciences, 257:5 (2021), 705–719
17.	O. A. Sultanov, “Lyapunov Functions and Asymptotics at Infinity of Solutions of Equations that are Close to Hamiltonian Equations”, Journal of Mathematical Sciences, 258:1 (2021), 97–109	1 ^[x]

2020
18.	D. Borisov, O. Sultanov, “Asymptotic analysis of mean exit time for dynamical systems with a single well potential”, Journal of Differential Equations, 269:8 (2020), 78–116	3 ^[x]
19.	O. A. Sultanov, “Bifurcations of autoresonant modes in oscillating systems with combined excitation”, Studies in Applied Mathematics, 144:2 (2020), 213–241 , arXiv: 1907.07482	7 ^[x]
20.	D. I. Borisov, O. A. Sultanov, “Complete Asymptotics for Solution of Singularly Perturbed Dynamical Systems with Single Well Potential”, Mathematics, 8:6 (2020), 949 , 17 pp.	1 ^[x]

2019
21.	O. Sultanov, “Capture into parametric autoresonance in the presence of noise”, Communications in Nonlinear Science and Numerical Simulation, 75 (2019), 14–21 , arXiv: 1702.06352	7 ^[x]
22.	O. Sultanov, “Lyapunov functions and asymptotic analysis of a complex analogue of the second Painlevé equation”, Journal of Physics: Conference Series, 1205 (2019), 012056 , 6 pp.	1 ^[x]
23.	O. A. Sultanov, “Asimptotika na beskonechnosti dlya reshenii kompleksnogo analoga vtorogo uravneniya Penleve”, Vestnik NIYaU MIFI, 8:1 (2019), 49–55
24.	O. A. Sultanov, “Funktsii Lyapunova i asimptotika na beskonechnosti reshenii uravnenii, blizkikh k gamiltonovym”, Differentsialnye uravneniya, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 163, VINITI RAN, M., 2019, 96–107
25.	O. A. Sultanov, “Stochastic Perturbations of Stable Dynamical Systems: Trajectory-Wise Approach”, Journal of Mathematical Sciences, 241:3 (2019), 340–353 ; O. A. Sultanov, “Stokhasticheskie vozmuscheniya ustoichivykh dinamicheskikh sistem: potraektornyi podkhod”, Sovremennaya matematika i ee prilozheniya. Tematicheskie obzory, 139 (2017), 91–103

2021
26.	O. A. Sultanov, “On the Almost Sure Stability of Dynamical Systems with Respect to White Noise”, J. Math. Sci. (N. Y.), 252:2 (2021), 242–246

2018
27.	O. Sultanov, “Stability and Asymptotic Analysis of the Autoresonant Capture in Oscillating Systems with Combined Excitation”, SIAM J. Appl. Math., 78:6 (2018), 3103–3118	7 ^[x]

2017
28.	O. Sultanov, “White noise perturbation of locally stable dynamical systems”, Stochastics and Dynamics, 17:1 (2017), 1750002 , 9 pp., arXiv: 1509.07323	1 ^[x]
29.	O. A. Sultanov, “Stochastic Stability of a Dynamical System Perturbed by White Noise”, Mathematical Notes, 101:1 (2017), 149–156
30.	O. Sultanov, “Random perturbations of parametric autoresonance”, Nonlinear Dynamics, 89:4 (2017), 2785–2793	1 ^[x]
31.	L. A. Kalyakin, O. A. Sultanov, N. Tarkhanov, “Elliptic perturbations of dynamical systems with a proper node”, Complex Analysis and Dynamical Systems VII, Contemporary Mathematics, 699, American Mathematical Society, 2017, 155–166	2 ^[x]
32.	O. Sultanov, Stabilization of unstable autoresonant modes, 2017 , arXiv: 1702.01548

2016
33.	O. A. Sultanov, “Random Perturbations of Autoresonance in Oscillating Systems with Small Dissipation”, Journal of Mathematical Sciences, 219:2 (2016), 267–274
34.	O. A. Sultanov, “Stability of capture into parametric autoresonance”, Proceedings of the Steklov Institute of Mathematics, 295:Suppl.1 (2016), 156–167 ; O. A. Sultanov, “Ustoichivost zakhvata v parametricheskii avtorezonans”, Trudy instituta matematiki i mekhaniki UrO RAN, 21:1 (2015), 220–230	8 ^[x]

2015
35.	O. Sultanov, Stability of parametric autoresonance under random perturbations, 2015 , arXiv: 1503.00148
36.	O. A. Sultanov, “Stability of autoresonance in dissipative systems”, Ufa Mathematical Journal, 7:1 (2015), 58–69

2014
37.	O. A. Sultanov, L. A. Kalyakin, N. N. Tarkhanov, Elliptic Perturbations of Dynamical Systems with a Proper Node, Preprint, Instituts für Mathematik der Universität Potsdam, Potsdam, 2014 , 12 pp., № 4
38.	O. A. Sultanov, “Stability of autoresonance models subject to random perturbations for systems of nonlinear oscillation equations”, Computational Mathematics and Mathematical Physics, 54:1 (2014), 59–73

2013
39.	O. A. Sultanov, “Sluchainye vozmuscheniya modelei avtorezonansa”, Nanostruktury. Matematicheskaya fizika i modelirovanie, 8:2 (2013), 85–95
40.	O. A. Sultanov, “Ustoichivost modelei avtorezonansa otnositelno vozmuschenii, ogranichennykh v srednem”, Trudy instituta matematiki i mekhaniki UrO RAN, 19:3 (2013), 274–283	3 ^[x]
41.	L. A. Kalyakin, O. A. Sultanov, “Stability of autoresonance models”, Differential Equations, 49:3 (2013), 267–281

2012
42.	O. A. Sultanov, “Ustoichivost modelei avtorezonansa pri postoyanno deistvuyuschikh vozmuscheniyakh”, Trudy instituta matematiki i mekhaniki UrO RAN, 18:2 (2012), 254–264	2 ^[x]

2011
43.	O. A. Sultanov, L. A. Kalyakin, “Usrednenie uravnenii Blokha”, Vestnik Chelyabinskogo gosudarstvennogo universiteta, 2011, no. 27, 107–112
44.	L. A. Kalyakin, O. A. Sultanov, M. A. Shamsutdinov, “Asymptotic analysis of a model of nuclear magnetic autoresonance”, Theoretical and Mathematical Physics, 167:3 (2011), 762–771

2010
45.	O. A. Sultanov, “Funktsii Lyapunova dlya neavtonomnykh sistem blizkikh k gamiltonovym”, Ufimskii matematicheskii zhurnal, 2:4 (2010), 88–98	10 ^[x]

Presentations in Math-Net.Ru

1.	Asymptotic regimes in near-Hamiltonian systems with damped oscillatory perturbations O. A. Sultanov International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko June 9, 2022 18:10

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