Persons: Glebov, Sergey Gennad'evich

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Glebov, Sergey Gennad'evich

Total publications:	25 (25)
in MathSciNet:	14 (14)
in zbMATH:	16 (16)
in Web of Science:	11 (11)
in Scopus:	9 (9)
Cited articles:	12
Citations:	67

Number of views:
This page:	633
Abstract pages:	1477
Full texts:	546
References:	231

Associate professor

Candidate of physico-mathematical sciences (1998)

Speciality:

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

E-mail:

Keywords:

nonlinear differential equations; asymptotics.

Subject:

Nonlinear differential equations with small parameter

Biography

Graduated from Faculty of Mathematics of Bashkir State University (BSU) in 1965 (department of differential equations). Ph.D. thesis was defended in 1998.

Main publications:

O. M. Kiselev, S. G. Glebov. Asymptotic decsription of nonlinear resonance. ArXiv: math.DS # 0105011. http://xxx.lanl.gov/abs/math/0105011.

https://www.mathnet.ru/eng/person17553

List of publications on Google Scholar

List of publications on ZentralBlatt

https://mathscinet.ams.org/mathscinet/MRAuthorID/358153

Full list of publications:

scientific publications

by years

by types

by times cited

common list

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

1.	O. M. Kiselev, S. G. Glebov, “The capture into parametric autoresonance”, Nonlinear Dynamics, 48:1–2 (2007), 217–230	15 ^[x]
2.	O. M. Kiselev, S. G. Glebov, “An asymptotic solution slowly crossing the separatrix near a saddle–centre bifurcation point”, Nonlinearity, 16:1 (2003), 327–362	14 ^[x]
3.	S. Glebov, O. Kiselev, V. Lazarev, “Slow passage through resonance for a weakly nonlinear dispersive wave”, SIAM Journal of Applied Mathematics, 65:6 (2005), 2158–2177	10 ^[x]
4.	S. G. Glebov, O. M. Kiselev, V. A. Lazarev, “Birth of solitons during passage through local resonance”, Proc. Steklov Inst. Math. (Suppl.), 2003no. , suppl. 1, S84–S90
5.	S. Glebov, O. Kiselev, “The stimulated scattering of solitons on a resonance”, Journal of Nonlinear Mathematical Physics, 12:3 (2005), 330–341	6 ^[x]
6.	S. Glebov, O. Kiselev, N. Tarkhanov, “Weakly nonlinear dispersive waves under parametric resonance perturbation”, Studies in Applied Mathematics, 124:1 (2010), 19–37	3 ^[x]
7.	S. Glebov, O. Kiselev, N. Tarkhanov, “Autoresonance in a dissipative system”, Journal Physics A: Mathematical and Theoretical, 43:21 (2010), 215203 , 16 pp.	3 ^[x]
8.	S. G. Glebov, O. M. Kiselev, V. A. Lazarev, “The autoresonance threshold in a system of weakly coupled oscillators”, Proc. Steklov Inst. Math. (Suppl.), 259, suppl. 2 (2007), S111–S123
9.	N. Gorbatova, O. Kiselev, S. Glebov, “Resonant excitation of nonlinear waves”, AIP Conference Proceedings, 834:1 (2006), 196–205	2 ^[x]
10.	S. G. Glebov, “On a weakly nonlinear problem with local resonances”, Differential Equations, 31:8 (1995), 1354–1361
11.	S. Glebov, O. Kiselev, “The slow passage through the resonances and wave packets with the different carriers”, Dynamics of Partial Differential Equations, 2:3 (2005), 261–280	1 ^[x]
12.	L. A. Kalyakin, S. G. Glebov, “On the solvability of nonlinear equations of Shrödinger type in the class of rapidly oscillating functions”, Math. Notes, 56:1 (1994), 673–678
13.	S. G. Glebov, O. M. Kiselev, N. N. Tarkhanov, Nonlinear Equations with Small Parameter, v. 2, De Gruyter Series in Nonlinear Analysis and Applications, 23/2, Waves and boundary problems, De Gruyter, Berlin, New York, 2018 (to appear) , 402 pp. www.degruyter.com/view/product/485040
14.	S. G. Glebov, O. M. Kiselev, N. N. Tarkhanov, Nonlinear Equations with Small Parameter, v. 1, De Gruyter Series in Nonlinear Analysis and Applications, 23/1, Oscillations and resonances, De Gruyter, Berlin, New York, 2017 (to appear) , 361 pp. www.degruyter.com/view/product/211477
15.	S. Glebov, N. Tarkhanov, System of nonlinear oscillators with dissipation. Initial interval of autoresonance, 2013 , 12 pp., arXiv: 1301.4792
16.	S. Glebov, O. Kiselev, N. Tarkhanov, “Forced nonlinear resonance in a system of coupled oscillators”, Chaos, 21:2 (2011), 023109 , 7 pp.
17.	O. Kiselev, S. Glebov, Autoresonant germ in dissipative system, 2009 , 6 pp., arXiv: 0902.4595
18.	S. Glebov, O. Kiselev, N. Tarkhanov, Autoresonance in a Dissipative System, 2009 , 22 pp., arXiv: 0912.0133
19.	S. Glebov, O. Kiselev, N. Tarkhanov, Slow passage through parametric resonance for a weakly nonlinear dispersive wave, 2008 , 20 pp., arXiv: 0806.3338
20.	O. Kiselev, Yu. Bagderina, S. Glebov, Scattering problem for the local parametric resonance equation, 2008 , 5 pp., arXiv: 0802.2849
21.	O. M. Kiselev, S. G. Glebov, V. A. Lazarev, Resonant pumping in nonlinear Klein-Gordon equation and solitary packets of waves, 2004 , 21 pp., arXiv: math-ph/0410041
22.	O. M. Kiselev, S. G. Glebov, Scattering of solitons on resonance, 2004 , 10 pp., arXiv: math-ph/0403038
23.	S. G. Glebov, O. M. Kiselev, “Applicability of the WKB method in the perturbation problem for the equation of principal resonance”, Russian Journal of Mathematical Physics, 9:1 (2002), 60–83
24.	O. M. Kiselev, G. G. Glebov, Asymptotic description of nonlinear resonance, 2001 , 48 pp., arXiv: math/0105011
25.	S. G. Glebov, “Resonance layers in the interactions of rapidly oscillating wave fields”, Theoret. and Math. Phys., 118:3 (1999), 295–300

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Ufa State Petroleum Technological University

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