Persons: Sultanov, Oskar Anvarovich

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Sultanov, Oskar Anvarovich

Total publications:	43 (43)
in MathSciNet:	29 (29)
in zbMATH:	25 (25)
in Web of Science:	27 (27)
in Scopus:	25 (25)
Cited articles:	26
Citations:	104
Presentations:	1

Number of views:
This page:	2383
Abstract pages:	3615
Full texts:	1161
References:	444

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

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


2024
1.	O. A. Sultanov, “Stokhasticheskaya ustoichivost modeli avtorezonansa s bifurkatsiei tipa tsentr-sedlo”, Izvestiya vysshikh uchebnykh zavedenii. Prikladnaya nelineinaya dinamika, 32:2 (2024), 147–159
2.	O. A. Sultanov, “Asymptotic regimes in oscillatory systems with damped non-resonant perturbations”, Nonlinear Dynamics, 112:4 (2024), 2589–2609 , arXiv: 2305.16869
3.	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

2023
4.	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]
5.	O. A. Sultanov, “Asymptotic analysis of systems with damped oscillatory perturbations”, Journal of Mathematical Sciences, 269:1 (2023), 111–128
6.	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
7.	O. A. Sultanov, “Capture into resonance in nonlinear oscillatory systems with decaying perturbations”, Journal of Mathematical Sciences, 262:3 (2022), 374–389
8.	O. A. Sultanov, “Stability and bifurcation phenomena in asymptotically Hamiltonian systems”, Nonlinearity, 35:5 (2022), 2513–2534 , arXiv: 2006.12957	4 ^[x]
9.	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
10.	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]
11.	O. A. Sultanov, “On the almost sure stability of dynamical systems with respect to white noise”, Journal of Mathematical Sciences, 252 (2021), 242–246
12.	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	5 ^[x]
13.	O. A. Sultanov, “Bifurcations in asymptotically autonomous Hamiltonian systems under oscillatory perturbations”, Discrete & Continuous Dynamical Systems, 41:12 (2021), 5943–5978 , arXiv: 2010.05078	6 ^[x]
14.	O. A. Sultanov, “Decaying Oscillatory Perturbations of Hamiltonian Systems in the Plane”, Journal of Mathematical Sciences, 257:5 (2021), 705–719
15.	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
16.	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]
17.	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	4 ^[x]
18.	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
19.	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	5 ^[x]
20.	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]
21.	O. A. Sultanov, “Asimptotika na beskonechnosti dlya reshenii kompleksnogo analoga vtorogo uravneniya Penleve”, Vestnik NIYaU MIFI, 8:1 (2019), 49–55
22.	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
23.	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
24.	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
25.	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
26.	O. Sultanov, “White noise perturbation of locally stable dynamical systems”, Stochastics and Dynamics, 17:1 (2017), 1750002 , 9 pp., arXiv: 1509.07323	1 ^[x]
27.	O. A. Sultanov, “Stochastic Stability of a Dynamical System Perturbed by White Noise”, Mathematical Notes, 101:1 (2017), 149–156
28.	O. Sultanov, “Random perturbations of parametric autoresonance”, Nonlinear Dynamics, 89:4 (2017), 2785–2793	1 ^[x]
29.	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]
30.	O. Sultanov, Stabilization of unstable autoresonant modes, 2017 , arXiv: 1702.01548

2016
31.	O. A. Sultanov, “Random Perturbations of Autoresonance in Oscillating Systems with Small Dissipation”, Journal of Mathematical Sciences, 219:2 (2016), 267–274
32.	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
33.	O. Sultanov, Stability of parametric autoresonance under random perturbations, 2015 , arXiv: 1503.00148
34.	O. A. Sultanov, “Stability of autoresonance in dissipative systems”, Ufa Mathematical Journal, 7:1 (2015), 58–69

2014
35.	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
36.	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
37.	O. A. Sultanov, “Sluchainye vozmuscheniya modelei avtorezonansa”, Nanostruktury. Matematicheskaya fizika i modelirovanie, 8:2 (2013), 85–95
38.	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]
39.	L. A. Kalyakin, O. A. Sultanov, “Stability of autoresonance models”, Differential Equations, 49:3 (2013), 267–281

2012
40.	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
41.	O. A. Sultanov, L. A. Kalyakin, “Usrednenie uravnenii Blokha”, Vestnik Chelyabinskogo gosudarstvennogo universiteta, 2011, no. 27, 107–112
42.	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
43.	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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