Bolotin S., “Second species periodic orbits of the elliptic 3 body problem”, Celestial Mech. Dynam. Astronom., 93:1-4 (2006), 343–371
Bolotin S., “Symbolic dynamics of almost collision orbits and skew products of symplectic maps”, Nonlinearity, 19:9 (2006), 2041–2063
Bolotin S., Negrini P., Shilnikov Lemma for a nondegenerate critical manifold of a Hamiltonian system, In preparation
Bolotin S. V., MacKay R. S., “Periodic and chaotic trajectories of the second species for the $n$-centre problem”, Celestial Mech. Dynam. Astronom., 77:1 (2000), 49–75
Bolotin S. V., Treschev D. V., “Hill's formula”, Uspekhi Mat. Nauk, 65:2 (2010), 3–70; English transl.: Russian Math. Surveys, 65:2 (2010), 191–257
Sergey V. Bolotin, “Dynamics of Slow-Fast Hamiltonian Systems: The Saddle–Focus Case”, Regul. Chaotic Dyn., 30:1 (2025), 76–92;
2.
S. V. Bolotin, O. È. Zubelevich, V. V. Kozlov, S. B. Kuksin, A. I. Neishtadt, “Dmitry Valerievich Treschev (on his sixtieth birthday)”, Russian Math. Surveys, 80:1 (2025), 155–160
2024
3.
S. Bolotin, D. Treschev, “Another billiard problem”, Russ. J. Math. Phys., 31:1 (2024), 50–59;
D. V. Treschev, E. I. Kugushev, T. V. Popova, S. V. Bolotin, Yu. F. Golubev, V. A. Samsonov, Yu. D. Seliutski, “Chair of Theoretical Mechanics and Mechatronics”, Moscow University Mеchanics Bulletin, 79:6 (2024), 200–211
5.
S. V. Bolotin, A. T. Il'ichev, V. V. Kozlov, D. V. Treshchev, A. P. Chugainova, “Andrei Gennad'evich Kulikovskii (obituary)”, Russian Math. Surveys, 79:5 (2024), 919–921
2023
6.
Sergey V. Bolotin, Dmitry V. Treschev, “Quasiperiodic Version of Gordon’s Theorem”, Regul. Chaotic Dyn., 28:1 (2023), 5–13;
Sergey V. Bolotin, “Separatrix Maps in Slow–Fast Hamiltonian Systems”, Proc. Steklov Inst. Math., 322 (2023), 32–51
2021
8.
Ivan Bizyaev, Sergey Bolotin, Ivan Mamaev, “Normal forms and averaging in an acceleration problem in nonholonomic mechanics”, Chaos, 31:1 (2021), 013132 , 28 pp. ;
S. V. Bolotin, “Crossing of the Critical Energy Level in Hamiltonian Systems with Slow Dependence on Time”, Math. Notes, 110:6 (2021), 956–959
2020
11.
Sergey V. Bolotin, “Local Adiabatic Invariants Near a Homoclinic Set of a Slow–Fast Hamiltonian System”, Proc. Steklov Inst. Math., 310 (2020), 12–24
12.
Izbrannye voprosy matematiki i mekhaniki, Sbornik statei. K 70-letiyu so dnya rozhdeniya akademika Valeriya Vasilevicha Kozlova, Trudy MIAN, 310, ed. D. V. Treschev, S. V. Bolotin, A. G. Kulikovskii, I. A. Taimanov, MIAN, M., 2020 , 341 pp.
13.
A. V. Artem'ev, S. V. Bolotin, D. L. Vainchtein, A. A. Vasiliev, S. Yu. Dobrokhotov, L. M. Zelenyi, V. V. Kozlov, A. A. Petrukovich, V. V. Sidorenko, D. V. Treschev, A. I. Shafarevich, “Anatolii Iserovish Neishtadt (on his 70th birthday)”, Russian Math. Surveys, 75:5 (2020), 981–989
14.
S. V. Bolotin, A. V. Borisov, A. V. Karapetyan, B. S. Kashin, E. I. Kugushev, A. I. Neishtadt, D. O. Orlov, D. V. Treschev, “Valerii Vasil'evich Kozlov (on his 70th birthday)”, Russian Math. Surveys, 75:6 (2020), 1165–1180
2019
15.
Sergey V. Bolotin, “Jumps of Energy Near a Homoclinic Set of a Slowly Time Dependent Hamiltonian System”, Regul. Chaotic Dyn., 24:6 (2019), 682–703
S. V. Bolotin, V. V. Kozlov, “Topological approach to the generalized $n$-centre problem”, Russian Math. Surveys, 72:3 (2017), 451–478
19.
S. V. Bolotin, V. V. Kozlov, “Topology, singularities and integrability in Hamiltonian systems with two degrees of freedom”, Izv. Math., 81:4 (2017), 671–687
2016
20.
S. V. Bolotin, “Degenerate billiards”, Proc. Steklov Inst. Math., 295 (2016), 45–62
2015
21.
S. V. Bolotin, V. V. Kozlov, “Calculus of variations in the large, existence of trajectories in a domain with boundary, and Whitney's inverted pendulum problem”, Izv. Math., 79:5 (2015), 894–901
22.
S. V. Bolotin, D. V. Treschev, “The anti-integrable limit”, Russian Math. Surveys, 70:6 (2015), 975–1030
2014
23.
S. Bolotin, P. H. Rabinowitz, “Hybrid mountain pass homoclinic solutions of a class of semilinear elliptic PDEs”, Ann. Inst. H. Poincaré Anal. Non Linéaire, 31 (2014), 103–128
S. Bolotin, P. Negrini, “Variational approach to second species periodic solutions of Poincaré three-body problem”, Discrete Contin. Dyn. Syst., 33:3 (2013), 1009–1032 , arXiv: 1104.2288
S. Bolotin, P. H. Rabinowitz, “A note on hybrid heteroclinic solutions for a class of semilinear elliptic PDEs”, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl., 22:2 (2011), 151–160
S. V. Bolotin, D. V. Treschev, “Hill's formula”, Russian Math. Surveys, 65:2 (2010), 191–257
32.
S. V. Bolotin, A. A. Gonchar, S. P. Konovalov, E. F. Mishchenko, Yu. S. Osipov, V. A. Sadovnichii, A. G. Sergeev, Ya. V. Tatarinov, D. V. Treschev, L. D. Faddeev, “Valerii Vasil'evich Kozlov has turned 60 years old”, Russian Math. Surveys, 65:2 (2010), 389–395
33.
S. V. Bolotin, A. V. Borisov, A. A. Kilin, I. S. Mamaev, D. V. Treschev, “Valery Vasilievich Kozlov on his 60th birthday”, Regul. Chaotic Dyn., 15:4-5 (2010), 419–424
34.
A. V. Borisov, S. V. Bolotin, A. A. Kilin, I. S. Mamaev, D. V. Treschev, “Valery V. Kozlov: On the sixtieth birthday”, Nelin. Dinam., 6:3 (2010), 461–488
35.
S. V. Bolotin, A. V. Karapetyan, E. I. Kugushev, D. V. Treschev, Teoreticheskaya mekhanika, Izd-vo «Akademiya», Moskva, 2010 , 432 pp.
2007
36.
S. Bolotin, P. H. Rabinowitz, “On the multiplicity of periodic solutions of mountain pass type for a class of semilinear PDE's”, J. Fixed Point Theory Appl., 2:2 (2007), 313–331
S. Bolotin, R. S. MacKay, “Nonplanar second species periodic and chaotic trajectories for the circular restricted three-body problem”, Celestial Mech. Dynam. Astronom., 94:4 (2006), 433–449
S. Bolotin, P. H. Rabinowitz, “A note on heteroclinic solutions of mountain pass type for a class of nonlinear elliptic PDE's”, Contributions to nonlinear analysis, Progr. Nonlinear Differential Equations Appl., 66, Birkhäuser, Basel, 2006, 105–114
S. Bolotin, “Shadowing chains of collision orbits for the elliptic 3-body problem”, SPT 2004 – Symmetry and perturbation theory, World Sci. Publ., Hackensack, NJ, 2005, 51–58
S. V. Bolotin, R. S. MacKay, “Isochronous oscillations”, Localization and energy transfer in nonlinear systems, eds. L. Vazquez, R. S. MacKay, M.-P. Zorzano, World Sci., 2003, 217–224
S. Bolotin, A. Delshams, Yu. Fedorov, R. Ramírez-Ros, “Bi-asymptotic billiard orbits inside perturbed ellipsoids”, Progress in nonlinear science (Nizhny Novgorod, 2001), v. 1, RAS, Inst. Appl. Phys., Nizhniĭ Novgorod, 2002, 48–62
48.
S. V. Bolotin, P. H. Rabinowitz, “Some geometrical conditions for the existence of chaotic geodesics on a torus”, Ergodic Theory Dynam. Systems, 22:5 (2002), 1407–1428
S. V. Bolotin, P. Negrini, “Regularization and topological entropy for the spatial $n$-center problem”, Ergodic Theory Dynam. Systems, 21:2 (2001), 383–399
M. L. Bertotti, S. V. Bolotin, “Kinetic energy and Lyapunov stability of equilibria of natural Lagrangian systems”, International Conference on Differential Equations (Berlin, 1999), v. 1, 2, World Sci. Publ., River Edge, NJ, 2000, 1155–1157
53.
S. V. Bolotin, R. S. Mackay, “Periodic and chaotic trajectories of the second species for the $n$-centre problem”, Celestial Mech. Dynam. Astronom., 77:1 (2000), 49–75
M. L. Bertotti, S. V. Bolotin, “On the influence of the kinetic energy on the stability of equilibria of natural Lagrangian systems”, Arch. Ration. Mech. Anal., 152:1 (2000), 65–79
S. V. Bolotin, “Heteroclinic chains of skew product Hamiltonian systems”, Hamiltonian systems with three or more degrees of freedom (S'Agaró, 1995), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 533, Kluwer Acad. Publ., Dordrecht, 1999, 13–25
58.
S. V. Bolotin, P. H. Rabinowitz, “Minimal heteroclinic geodesics for the $n$-torus”, Calc. Var. Partial Differential Equations, 9:2 (1999), 125–139
M. L. Bertotti, S. V. Bolotin, “Doubly asymptotic trajectories of Lagrangian systems in homogeneous force fields”, Ann. Mat. Pura Appl. (4), 174 (1998), 253–275
S. V. Bolotin, “Connecting orbits of Hamiltonian systems”, Nonlinear functional analysis and applications to differential equations (Trieste, 1997), World Sci. Publ., River Edge, NJ, 1998, 36–59
63.
S. V. Bolotin, P. H. Rabinowitz, “A variational construction of chaotic trajectories for a Hamiltonian system on a torus”, Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8), 1:3 (1998), 541–570
64.
M. L. Bertotti, S. V. Bolotin, “Homoclinic solutions of almost periodic Hamiltonian systems”, International Conference on Differential Equations (Lisboa, 1995), World Sci. Publ., River Edge, NJ, 1998, 272–276
65.
S. V. Bolotin, P. H. Rabinowitz, “A variational construction of chaotic trajectories for a reversible Hamiltonian system”, J. Differential Equations, 148:2 (1998), 364–387
S. Bolotin, P. Negrini, “A variational criterion for nonintegrability”, Russian J. Math. Phys., 5:4 (1997), 415–436
67.
M. L. Bertotti, S. V. Bolotin, “Doubly asymptotic trajectories of Lagrangian systems and a problem by Kirchhoff”, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl., 8:2 (1997), 93–100
68.
S. Bolotin, R. MacKay, “Multibump orbits near the anti-integrable limit for Lagrangian systems”, Nonlinearity, 10:5 (1997), 1015–1029
S. V. Bolotin, “On supports of minimal invariant measures of Hamiltonian systems”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 1995, no. 6, 38–45
71.
S. Bolotin, “Homoclinic trajectories of time dependent Hamiltonian systems”, Variational and local methods in the study of Hamiltonian systems (Trieste, 1994), World Sci. Publ., River Edge, NJ, 1995, 1–16
72.
S. V. Bolotin, “Invariant sets of Hamiltonian systems and variational methods”, Proceedings of the International Congress of Mathematicians (Zürich, 1994), v. 1, 2, Birkhäuser, Basel, 1995, 1169–1178
S. V. Bolotin, V. V. Kozlov, “Symmetry fields of geodesic flows”, Russian J. Math. Phys., 3:3 (1995), 279–295
74.
S. Bolotin, P. Negrini, “Asymptotic solutions of Lagrangian systems with gyroscopic forces”, NoDEA Nonlinear Differential Equations Appl., 2:4 (1995), 417–444
M. L. Bertotti, S. V. Bolotin, “A variational approach for homoclinics in almost periodic Hamiltonian systems”, Comm. Appl. Nonlinear Anal., 2:4 (1995), 43–57
76.
S. V. Bolotin, “Homoclinic orbits in invariant tori of Hamiltonian systems”, Dynamical systems in classical mechanics, Amer. Math. Soc. Transl. Ser. 2, 168, Amer. Math. Soc., Providence, RI, 1995, 21–90
77.
M. L. Bertotti, S. V. Bolotin, “Homoclinic solutions of quasiperiodic Lagrangian systems”, Differential Integral Equations, 8:7 (1995), 1733–1760
1994
78.
S. Bolotin, “Variational criteria for nonintegrability and chaos in Hamiltonian systems”, Hamiltonian mechanics (Toruń, 1993), NATO Adv. Sci. Inst. Ser. B Phys., 331, Plenum, New York, 1994, 173–179
1993
79.
S. V. Bolotin, P. Negrini, “Asimptoticheskie traektorii giroskopicheskikh sistem”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 1993, no. 6, 66–75
80.
S. V. Bolotin, “Homoclinic orbits of geodesic flows on surfaces”, Russian J. Math. Phys., 1:3 (1993), 275–288
1992
81.
S. V. Bolotin, “Dvoyakoasimptoticheskie traektorii minimalnykh geodezicheskikh”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 1992, no. 1, 92–96
S. V. Bolotin, “Homoclinic trajectories to minimal tori of Lagrangian systems”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 1992, no. 6, 34–41
83.
S. V. Bolotin, “Variational methods for constructing chaotic motions in the dynamics of a rigid body”, J. Appl. Math. Mech., 56:2 (1992), 198–205
84.
S. V. Bolotin, “Integrable billiards on surfaces of constant curvature”, Math. Notes, 51:2 (1992), 117–123
85.
S. V. Bolotin, “Letter to the editors: “Variational methods for constructing chaotic motions in the dynamics of a rigid body””, J. Appl. Math. Mech., 56:6 (1992), 959
1990
86.
S. V. Bolotin, “Motions that are doubly asymptotic to invariant tori in the theory of the perturbations of Hamiltonian systems”, J. Appl. Math. Mech., 54:3 (1990), 412–417
87.
S. V. Bolotin, “Integriruemye bilyardy Birkgofa”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 1990, no. 2, 33–36
S. V. Bolotin, “The effect of singularities of the potential energy on the integrability of mechanical systems”, J. Appl. Math. Mech., 48:3 (1984), 255–260
96.
S. V. Bolotin, “O pervykh integralakh sistem s giroskopicheskimi silami”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 1984, no. 6, 75–82
Квазипериодическая версия теоремы Гордона S. V. Bolotin, D. V. Treschev International Conference "Mathematical Methods of Mechanics" dedicated to the anniversary of academician A. G. Kulikovskii March 23, 2023 11:20
Selected issues of mathematics and mechanics, Collected papers. On the occasion of the 70th birthday of Academician Valery Vasil'evich Kozlov, Trudy Mat. Inst. Steklova, 310, ed. D. V. Treschev, S. V. Bolotin, A. G. Kulikovskii, I. A. Taimanov, 2020, 341 с. http://mi.mathnet.ru/book1805
2025
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