S.G. Glebov, O.M. Kiselev, N. Tarkhanov.Nonlinear equations with small parameter. Volume I: Oscillations and resonances
De Gruyter Series in Nonlinear Analysis and Applications. 2017, v. 23/1, pp.340. ISBN 978-3-11-033568-2
S.G. Glebov, O.M. Kiselev, N. Tarkhanov.Nonlinear equations with small parameter.Volume 2. Waves and boundary problems
De Gruyter Series in Nonlinear Analysis and Applications, 2018, v. 23/2, pp.424. ISBN: 978-3-11-053497-9.
O. M. Kiselev. Hard Loss of Stability in Painleve-2 Equation // Journal of Nonlinear Mathematical Physics, 2001, v. 8, no. 1, p. 65–95.
O.M. Kiselev, Asymptotics of solutions of higher-dimensional integrable equations and their perturbations
Journal of Mathematical Sciences, November 2006, Volume 138, Issue 6, pp 6067–6230 Springer
P. Y. Astafyeva, O. M. Kiselev, “Formal Asymptotics of Parametric Subresonance”, Rus. J. Nonlin. Dyn., 18:5 (2022), 927-937 http://nd.ics.org.ru/nd221220/
2021
2.
O. M. Kiselev, “Boundaries of computational complexity and optimal cluster's quantity for controlled swarm in non-cooperative games”, Izvestiya vuzov. PND, 29:3 (2021), 376–385;
3.
O. M. Kiselev., “An asymptotic structure of the bifurcation boundary of the perturbed Painleve-2 equation”, Chaos, Solitons & Fractals, 151 (2021), 111299
O. M. Kiselev, “Uniform Asymptotics of the Elliptic Sine”, J Math Sci, 258 (2021), 23-36
5.
O. M. Kiselev, V. Y. Novokshenov, “Emergence and Decay of PI-Kinks in the Sine-Gordon Model with High-Frequency Pumping”, J Math Sci, 251 (2021), 175-189
6.
O. M. Kiselev, Integral formulas for Painlevé-2 transcendent, 2021 (Published online) , 21 pp., arXiv: arXiv:2103.09871
7.
P. Y. Astafyeva, O. M. Kiselev, Subresonant solutions of the linear oscillator equation, 2021 , 8 pp., arXiv: arXiv:2104.00992
8.
O. M. Kiselev, “Stochastic Properties of an Inverted Pendulum on a Wheel on a Soft Surface.”, 13 pages, 13th Chaotic Modeling and Simulation International Conference. (CHAOS 2020.), Springer Proceedings in Complexity., eds. Skiadas C.H., Dimotikalis Y., Springer, 2021 (to appear) https://link.springer.com/chapter/10.1007
9.
P. Yu. Astafyeva, O. M. Kiselev, “Subresonant Solutions of the Linear Oscillator Equation”, Proc. of the Internat. Conf. on Nonlinearity, Information and Robotics (Innopolis, Russia, Aug 2021), IEEE, 2021, 90–94 https://ieeexplore.ieee.org/document/9666062
2020
10.
O. M. Kiselev, “Control of an Inverted Wheeled Pendulum on a Soft Surface”, Rus. J. Nonlin. Dyn., 16:3 (2020), 421–436
O. M. Kiselev, “Estimation of computational complexity for sub-optimal swarm control in non-cooperative games”, 2020 4th Scientific School on Dynamics of Complex Networks and their Application in Intellectual Robotics (DCNAIR) (Innopolis, Russia, 7-9 Sept. 2020), IEEE, 2020, 133-134
12.
O. M. Kiselev, Stochastic properties of an inverted pendulum on a wheel on a soft surface, 2020 , 16 pp., arXiv: arxiv:2006.06222
13.
O. M. Kiselev, Stabilization of the wheeled inverted pendulum on a soft surface, 2020 , 20 pp., arXiv: arxiv:2006.05450
2019
14.
O. M. Kiselev, “Ravnomernaya asimptotika funktsii sinus amplitudy”, Differentsialnye uravneniya, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 163, VINITI RAN, M., 2019, 25–38
15.
O. M. Kiselev, “Conditions for Phase Locking and Dephasing of Autoresonant Pumping”, Rus. J. Nonlin. Dyn, 15:3 (2019), 381-394
16.
O. M. Kiselev, Matematicheskie osnovy robototekhniki, Universitet Innopolis, Orel: Izdatelstvo «Kartush», 2019. – 228 s., 2019 , 228 pp.
2018
17.
S.G.Glebov, O.M.Kiselev, N. Tarkhanov, Nonlinear equations with small parameters, v. 2, Series in Nonlinear Analysis and Applications, 23, Waves and boundary problems, De Gruyter, Berlin, New-York, 2018 , 424 pp.
18.
O. M. Kiselev, “Asymptotic behaviour of measure for captured trajectories into parametric autoresonance.”, Nonlinear Dynamics, 91:3 (2018), 1977-1983 https://link.springer.com/article/10.1007
O. M. Kiselev, V. Yu. Novokshenov, “Emergence and Decay of $\pi$-Kinks in the Sine-Gordon Model with High-Frequency Pumping”, J. Math. Sci. (N. Y.), 252:2 (2021), 175–189
2018
20.
O. M. Kiselev, “Stable Feedback Control of a Fast Wheeled Robot”, Nelineinaya dinam., 14:3 (2018), 409–417
S.G. Glebov, O.M.Kiselev, N.Tarkhanov, Nonlinear equations with small parameter, v. 1, Series in Nonlinear Analysis and Applications, 23, Oscillations and resonances, De Gruyter, Berlin, New-York, 2017 , 337 pp.
2018
22.
O. M. Kiselev, V. Yu. Novokshenov, “Autoresonance in a model of a terahertz wave generator”, Proc. Steklov Inst. Math. (Suppl.), 301, suppl. 1 (2018), 88–102
2016
23.
Oleg Mikhailovich Kiselev, “Capture of a Particle into Resonance”, Handbook of Applications of Chaos Theory, eds. Christos H. Skiadas, Charilaos Skiadas, CRC press, 2016, 155-159 https://www.crcpress.com/Handbook-of-Applications-of-Chaos-Theory/Skiadas-Skiadas/p/book/9781466590434
24.
O. M. Kiselev, Asymptotic behaviour of measure for captured trajectories into parametric autoresonance, 2016 (Published online) , 13 pp., arXiv: arXiv:1612.08426
25.
O. M. Kiselev, “Asymptotics of an autoresonance soliton”, Proc. Steklov Inst. Math. (Suppl.), 293, suppl. 1 (2016), 75–84
2015
26.
Oleg Kiselev, Uniform asymptotic behaviour of Jacobi-$\sn$ near a singular point. The Lost formula from handbooks for elliptic functions, 2015 , arXiv: 1510.06602
27.
A. Vict. Antoniouk, O. M. Kiselev, N. N. Tarkhanov, “Asymptotic Solutions of the Dirichlet Problem for the Heat Equation at a Characteristic Point”, Ukrainian Mathematical Journal, 66:10 (2015), 1455-1474
2014
28.
O. Kiselev, N. Tarkhanov, “The capture of a particle into resonance at potential hole with dissipative perturbation.”, Chaos, Solitons & Fractals, 58 (2014), 27-59
O. M. Kiselev, Autoresonant soliton and decay pumping, 2013 , arXiv: arXiv:1301.6885
31.
O. M. Kiselev, Threshold values of autoresonant pumping, 2013 , arXiv: 1303.4691
32.
O. M. Kiselev, “Oscillations near a separatrix in the Duffing equation”, Proc. Inst. Math. Mech., 281, suppl. 1 (2013), 82–94
2012
33.
A. Antoniouk, O. Kiselev, V. A. Stepanenko, and N. Tarkhanov, Asymptotic Solutions of the Dirichlet Problem for the Heat Equation at a Characteristic Point, Institut fur Mathematik Universitat Potsdam, October 10, 2012., Potsdam, 2012
34.
O. M. Kiselev, Zoopark chudovisch ili znakomstvo so spetsialnymi funktsiyami, BashGU, Ufa, 2012 , 104 pp.
2011
35.
S. Glebov, O. Kiselev, N. Tarkhanov, “Forced nonlinear resonance in a system of coupled oscillators”, Chaos, 21:2 (2011), 023109 , 7 pp.
36.
Oleg Kiselev, and Nikolai Tarkhanov, Scattering of autoresonance trajectories upon a separatrix, Institut fur Mathematik Universitat Potsdam, Potsdam, 2011
2010
37.
Sergei Glebov, Oleg Kiselev, and Nikolai Tarkhanov, “Autoresonance in a dissipative sytem”, J. Phys. A: Math. Theor., 43 (2010), 215203 http://dx.doi.org/10.1088/1751-8113/43/21/215203
Sergei Glebov, Oleg Kiselev, and Nikolai Tarkhanov, “Weakly Nonlinear Dispersive Waves under Parametric Resonance Perturbation.”, Studies in Applied Mathematics,, 124:1 (2010), 19-37 10.1111/j.1467-9590.2009.00460.x
O. Kiselev, I. Shestakov, “Asymptotics of solutions to the Laplace–Beltrami equation on a rotation surface with a cusp.”, Journal of Mathematical Analysis and Applications, 362:2 (2010), 393-400 http://dx.doi.org/10.1016/j.jmaa.2009.08.039
Sergei Glebov, Oleg Kiselev, Nikolai Tarkhanov, Autoresonance in a Dissipative System., 2009 , arXiv: 0912.0133
41.
O. M. Kiselev, Oscillations near separatrix for perturbed Duffing equation., 2009 , arXiv: 0903.4523
42.
Oleg Kiselev, Sergei Glebov, Autoresonant germ in dissipative system., 2009 , arXiv: 0902.4595
2007
43.
S. G. Glebov, O. M. Kiselev, V. A. Lazarev, “The autoresonance threshold in a system of weakly coupled oscillators”, Proc. Inst. Math. Mech., 259, suppl. 2 (2007), S111–S123
44.
S. G. Glebov, O. M. Kiselev, V. A. Lazarev, The autoresonance threshold into a system of weakly coupled oscillators., 2007 , arXiv: 0707.2311
2006
45.
S. G. Glebov, O. M. Kiselev, “Rezonansnoe vozbuzhdenie voln v uravnenii KdF.”, Sbornik materialov nauchnogo seminara stependiatov programmy “Mikhail Lomonosov” 2005/06. DAAD - Min. Nauki i Obrazovaniya-Germanskaya sluzhba nauchnykh obmenov. Moskva, 24-25 aprelya 2006 g., s.38-41., 2006, 38-41
46.
N. K. Gorbatova, O. M. Kiselev, S. G. Glebov., “Resonant excitation of nonlinear waves.”, AIP Conference Proceedings, 834, AIP, 2006, 196-205
O. M. Kiselev, Lektsii po teorii nelineinykh kolebanii, Bashgosuniversitet, Ufa, 2006 , 136 pp.
2005
48.
N. K. Gorbatova, O. M. Kiselev, S. G. Glebov., Finite amplitude waves under a small resonant driving force, 2005 , arXiv: nlin.PS/0512049
49.
O. M. Kiselev, S. G Glebov, The capture into parametric autoresonance, 2005 , arXiv: math-ph # 0511017
50.
S. G. Glebov and O. M. Kiselev, The forced KdV equation and passage through the resonance Preprint 2005/21, ISSN 1437-739X, Institut fur Mathematik, Uni Potsdam,, Potsdam,, 2005
51.
S. G. Glebov, O. M. Kiselev., “The slowly passage through the resonances and wave packets with the different carriers.”, Dynamics of Partial Differential Equations, 2:3 (2005), 261
S. G. Glebov, O. M. Kiselev, V. A. Lazarev, “Slow passage through resonance for a weakly nonlinear dispersive wave.”, SIAM Journal of Applied Mathematics, 65:6 (2005), 2158-2177
O. M. Kiselev, “Asymptotics of solutions of higher-dimensional integrable equations and their perturbations”, Journal of Mathematical Sciences, 138:6 (2006), 6067–6230
2004
55.
S. G. Glebov, O. M. Kiselev, V. A. Lazarev, Resonant pumping in nonlinear Klein-Gordon equation and solitary packets of waves, 2004 , arXiv: math-ph # 0410041
56.
O. M. Kiselev, S. G. Glebov., Scattering of solitons on resonance. Asymptotics and numeric simulations., 2004 , arXiv: nlin.PS # 0410024
57.
O. M. Kiselev, S. G. Glebov, Scattering of solitons on resonance., 2004 , arXiv: math-ph # 0403038
2003
58.
S. G. Glebov, O. M. Kiselev, V. A. Lazarev, “Birth of solitons during passage through local resonance”, Proc. Inst. Math. Mech., 2003no. , suppl. 1, S84–S90
59.
O. M. Kiselev, “Mnogomernye nelineinye integriruemye uravneniya: asimptotiki reshenii i vozmuscheniya.”, Asimptoticheskie metody funktsionalnogo analiza,, Sovremennaya matematika i ee prilozheniya., 5, Akademiya nauk Gruzii, Institut kibernetiki, Tbilisi,, 2003, 109-134
60.
S. G. Glebov, V. A. Lazarev, O. M. Kiselev., “Generation of solitary packets of waves by resonance.”, Proceedings of International seminar “Day on Diffraction-2003”,, St.Petersburg Dept. Steklov' Math. Inst., SPb, 2003, 46-51
61.
O. M. Kiselev, S. G. Glebov, “An asymptotic solution slowly crossing the separatrix near a saddle-center bifurcation point”, Nonlinearity, 16 (2003), 327-362
O. M. Kiselev, S. G. Glebov, “Asymptotic description of separatrix crossing near a saddle-center point.”, Progress in nonlinear science. Proceedings of International conference dedicated to the 100th anniversary of A.A. Andronov., Mathematical problem of nonlinear dynamics,, 1, Nizhny Novgorod, 2002, 269-274
64.
S. G. Glebov, O. M. Kiselev, “Applicability of the WKB method in the perturbation problem for the equation of Principal resonance.”, Russian J. of Math. Phys., 9:1 (2002), 60-83
2001
65.
O. M. Kiselev, “Hard Loss of Stability in Painleve-2 Equation.”, Journal of Nonlinear Mathematical Physics, 8:1 (2001), 65-95
O. M. Kiselev, S. G. Glebov.., Asymptotic decsription of nonlinear resonance, 2001 , arXiv: math.DS # 0105011
67.
O. M. Kiselev, Mnogomernye nelineinye integriruemye uravneniya: asimptotiki reshenii i vozmuscheniya., Diss. dokt. fiz.-matem. nauk, IMVTs UNTs RAN, Ufa, 2001
68.
O. M. Kiselev, “Asymptotics of a solution of the Kadomtsev-Petviashvili-2 equation”, Proceedings of the Steklov Institute of Mathematics., S:1 (2001), 107-139
2000
69.
O. M. Kiselev, “Perturbation of a solitary wave of the nonlinear Klein–Gordon equation”, Siberian Math. J., 41:2 (2000), 281–293
70.
O. M. Kiselev, “Dromion Perturbation for the Davey-Stewartson-1 Equations.”, Journal of Nonlinear Mathematical Physics, 7:4 (2000,), 411-422
S. G. Glebov, O. M. Kiselev, “Asimptotika zhestkogo rezhima vozbuzhdeniya sobstvennykh kolebanii. I.”, Kompleksnyi analiz, differentsialnye uravneniya i smezhnye voprosy. Differentsialnye uravneniya. Chast I., Ufa, 2000, 49-52
72.
O. M. Kiselev, S. G. Glebov, “Asimptotika zhestkogo rezhima vozbuzhdeniya sobstvennykh kolebanii. II”, Kompleksnyi analiz, differentsialnye uravneniya i smezhnye voprosy. Differentsialnye uravneniya. Chast I., Ufa, 2000, 95-97
73.
O. M. Kiselev, Asymptotic behaviour of a solution for Kadomtsev-Petviashvili-2 equation., 2000 , arXiv: math-ph # 0003014.
1999
74.
O. M. Kiselev, “Asymptotic behaviour of the solution of the two-dimensional Dirac system with rapidly oscillating coefficients”, Sb. Math., 190:2 (1999), 233–254
75.
R. R. Gadyl'shin, O. M. Kiselev, “Structural instability of a soliton for the Davey–Stewartson II equation”, Theoret. and Math. Phys., 118:3 (1999), 278–284
76.
O. M. Kiselev, Asymptotics of soliton solution for the perturbed Davey-Stewartson-I equations, 1999 , arXiv: math-ph # 9909028
77.
O. M. Kiselev, Asymptotic approach for the rigid condition of appearance of the oscillations in the solution of the Painleve-2 equation., 1999 , arXiv: solv-int # 9902007
78.
O. M. Kiselev, B. I. Suleimanov., The solution of the Painleve equations as special functions of catastrophes, defined by a rejection in these equations of terms with derivative, solv-int # 9902004., 1999
1998
79.
O. M. Kiselev, “Basic Functions Associated with a Two-Dimensional Dirac System”, Funct. Anal. Appl., 32:1 (1998), 56–59
80.
O. M. Kiselev, “An asymptotic solution of the Cauchy problem for the Davey–Stewartson-I equation”, Theoret. and Math. Phys., 114:1 (1998), 81–89
81.
R. R. Gadyl'shin, O. M. Kiselev, Asymptotics of perturbed soliton solution for the Davey-Stewartson II equation., 1998 , arXiv: solv-int # 9801014
82.
O. M. Kiselev, “Perturbation theory for the Dirac equation in the two-dimensional space.”, Journal of Math. Phys., 39:4 (1998), 2333-2345
R. R. Gadyl'shin, O. M. Kiselev, On lump instability of the Davey-Stewartson II equation., 1998 , arXiv: solv-int # 9804001
1997
84.
O. M. Kiselev, “Asymptotic behavior of the solution of a system of Davey–Stewartson II equations in the soliton-free case”, Differ. Equ., 33:6 (1997), 815–823
85.
O. M. Kiselev, “The interaction of a kink with a breather of small amplitude in the phi^4-model.”, Russian Journ. of Math.Phys., 5:1 (1997), 29-46
1996
86.
R. R. Gadyl'shin, O. M. Kiselev, “On nonsolution structure of scattering data under perturbation of two-dimensional soliton for Davey–Stewartson equation II”, Theoret. and Math. Phys., 106:2 (1996), 167–173
87.
O.M. Kiselev., “Metod Fure dlya linearizovannogo uravneniya Devi-Styuartsona I.”, Kompleksnyi analiz, differentsialnye uravneniya, chislennye metody i prilozheniya. III. Differentsialnye uravneniya., IMVTs, 1996, 93-97 http://arxiv.org/abs/solv-int/9701014
88.
O. M. Kiselev., “Bazisnye funktsii, svyazannye s dvumernoi sistemoi Diraka.”, (Mezhdunarodnaya konferentsiya “Differentsialnye uravneniya i smezhnye voprosy”, posvyaschennaya 95-letiyu so dnya rozhdeniya I. G. Petrovskogo: sovmestnye zasedaniya seminara imeni I. G. Petrovskogo i Moskovskogo matematicheskogo obschestva; vosemnadtsataya sessiya, 25–29 aprelya 1996 goda), Uspekhi matem. nauk, 51, no. 5, 1996, 230
1995
89.
O. M. Kiselev, “Asymptotics of a multiple Cauchy integral with rapidly oscillating exponential”, Math. Notes, 58:2 (1995), 833–840
90.
O. M. Kiselev, “Asimptotika resheniya zadachi Koshi dlya polulineinoi giperbolicheskoi sistemy s silnoi dispersiei.”, Asimptotiki i simmetrii v nelineinykh dinamicheskikh sistemakh, IMVTs, Ufa, 1995, 52-70
1994
91.
O. M. Kiselev, “Solution of Goursat problem for Maxwell–Bloch equations”, Theoret. and Math. Phys., 98:1 (1994), 20–26
92.
O. M. Kiselev, “Formalnoe reshenie zadachi Gursa dlya uravneniya sinus-Gordon.”, Integriruemost v dinamicheskikh sistemakh., IMVTs, Ufa, 1994, 17-26
1992
93.
O. M. Kiselev, “Kink asymptotics of the perturbed sine-Gordon equation”, Theoret. and Math. Phys., 93:1 (1992), 1106–1111
94.
O. M. Kiselev, “Ob asimptotike kratnogo integrala tipa Fure”, Asimptoticheskie metody reshenii differentsialnykh uravnenii, IMVTs, Ufa, 1992, 61-73
95.
O. M. Kiselev, Asimptotika resheniya zadachi Koshi dlya polulineinykh giperbolicheskikh uravnenii, Diss. kand. fiz.-matem. nauk, IMVTs UNTs RAN, Ufa, 1992
96.
Z. N. Validova, O. M. Kiselev, “Integrals obtained from a singular Hilbert integral by a change of variables”, Russian Math. (Iz. VUZ), 36:9 (1992), 13–21
1990
97.
O. M. Kiselev“.Formalnaya asimptotika solitonnogo resheniya vozmuschennogo uravneniya Sine-Gordon.”, Asimptoticheskie resheniya zadach matematicheskoi fiziki, IMVTs, Ufa, 1990, 50-62
1989
98.
O. M. Kiselev, “Asimptotika resheniya zadachi Koshi dlya redutsirovannoi sistemy Maksvella-Blokha.”, Asimptoticheskie metody reshenii zadach matematicheskoi fiziki, BashFAN, Ufa, 1989, 70-81
1987
99.
O. M. Kiselev, “Asimptotika resheniya zadachi Koshi dlya vozmuschennogo uravneniya Kleina-Foka-Gordona.”, Zapiski Nauchn. Semin. LOMI, 165 (1987) , 115-121 pp.
1984
100.
I. G. Gazheev, O. M. Kiselëv, “On the problem of continuous flow around a closed cylindrical shell”, Soviet Math. (Iz. VUZ), 28:10 (1984), 32–41
2022
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