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
S. Bolotin, D. Treschev, “Another billiard problem”, Russ. J. Math. Phys., 31:1 (2024), 50–59;
2.
S. V. Bolotin, A. T. Il'ichev, V. V. Kozlov, D. V. Treschev, A. P. Chugainova, Uspekhi Mat. Nauk
2023
3.
Sergey V. Bolotin, Dmitry V. Treschev, “Quasiperiodic Version of Gordon’s Theorem”, Regul. Chaotic Dyn., 28:1 (2023), 5–13;
4.
Sergey V. Bolotin, “Separatrix Maps in Slow–Fast Hamiltonian Systems”, Proc. Steklov Inst. Math., 322 (2023), 32–51
2021
5.
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
8.
Sergey V. Bolotin, “Local Adiabatic Invariants Near a Homoclinic Set of a Slow–Fast Hamiltonian System”, Proc. Steklov Inst. Math., 310 (2020), 12–24
9.
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.
10.
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
11.
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
12.
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
16.
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
17.
S. V. Bolotin, “Degenerate billiards”, Proc. Steklov Inst. Math., 295 (2016), 45–62
2015
18.
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
19.
S. V. Bolotin, D. V. Treschev, “The anti-integrable limit”, Russian Math. Surveys, 70:6 (2015), 975–1030
2014
20.
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
29.
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
30.
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
31.
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
32.
S. V. Bolotin, A. V. Karapetyan, E. I. Kugushev, D. V. Treschev, Teoreticheskaya mekhanika, Izd-vo «Akademiya», Moskva, 2010 , 432 pp.
2007
33.
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
45.
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
50.
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
55.
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
60.
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
61.
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
62.
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
64.
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
65.
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
68.
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
69.
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
71.
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
73.
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
74.
M. L. Bertotti, S. V. Bolotin, “Homoclinic solutions of quasiperiodic Lagrangian systems”, Differential Integral Equations, 8:7 (1995), 1733–1760
1994
75.
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
76.
S. V. Bolotin, P. Negrini, “Asimptoticheskie traektorii giroskopicheskikh sistem”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 1993, no. 6, 66–75
77.
S. V. Bolotin, “Homoclinic orbits of geodesic flows on surfaces”, Russian J. Math. Phys., 1:3 (1993), 275–288
1992
78.
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
80.
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
81.
S. V. Bolotin, “Integrable billiards on surfaces of constant curvature”, Math. Notes, 51:2 (1992), 117–123
82.
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
83.
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
84.
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
93.
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
2024
Contact us: