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Bolotin Sergey Vladimirovich
(recent publications)
| by years | scientific publications | by types |



   2021
1. Ivan Bizyaev, Sergey Bolotin, Ivan Mamaev, “Normal forms and averaging in an acceleration problem in nonholonomic mechanics”, Chaos, 31:1 (2021), 013132 , 28 pp.  mathnet  crossref  isi (cited: 2)  scopus (cited: 2);
2. Sergey Bolotin, “Shadowing Homoclinic Chains to a Symplectic Critical Manifold”, Anal. Theory Appl., 37:1 (2021), 1–23  mathnet  crossref  mathscinet;
3. S. V. Bolotin, “Crossing of the Critical Energy Level in Hamiltonian Systems with Slow Dependence on Time”, Math. Notes, 110:6 (2021), 956–959  mathnet  crossref  crossref  mathscinet  isi  elib  scopus

   2020
4. 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.  mathnet
5. Sergey V. Bolotin, “Local Adiabatic Invariants Near a Homoclinic Set of a Slow–Fast Hamiltonian System”, Proc. Steklov Inst. Math., 310 (2020), 12–24  mathnet  crossref  crossref  isi  elib  scopus
6. 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  mathnet  crossref  crossref  mathscinet  isi
7. 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  mathnet  crossref  crossref  mathscinet  adsnasa  adsnasa  isi

   2019
8. 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  mathnet (cited: 2)  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)

   2018
9. S. V. Bolotin, “Jumps of energy near a separatrix in slow-fast Hamiltonian systems”, Russian Math. Surveys, 73:4 (2018), 725–727  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  adsnasa  isi (cited: 2)  elib  scopus (cited: 2)

   2017
10. Sergey V. Bolotin, “Degenerate Billiards in Celestial Mechanics”, Regul. Chaotic Dyn., 22:1 (2017), 27–53  mathnet (cited: 2)  crossref  mathscinet  zmath  isi (cited: 2)  scopus (cited: 2)
11. S. V. Bolotin, V. V. Kozlov, “Topological approach to the generalized $n$-centre problem”, Russian Math. Surveys, 72:3 (2017), 451–478  mathnet  crossref  crossref  mathscinet  adsnasa  adsnasa  isi (cited: 6)  elib  elib  scopus (cited: 2)
12. 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  mathnet  crossref  crossref  mathscinet  adsnasa  adsnasa  isi (cited: 6)  elib  elib  elib  scopus (cited: 4)

   2016
13. S. V. Bolotin, “Degenerate billiards”, Proc. Steklov Inst. Math., 295 (2016), 45–62  mathnet  crossref  crossref  mathscinet  isi (cited: 7)  elib  elib  scopus (cited: 7)

   2015
14. 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  mathnet  crossref  crossref  mathscinet  adsnasa  adsnasa  isi (cited: 10)  elib  elib  scopus (cited: 13)
15. S. V. Bolotin, D. V. Treschev, “The anti-integrable limit”, Russian Math. Surveys, 70:6 (2015), 975–1030  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 17)  elib  elib  scopus (cited: 13)

   2014
16. S. Bolotin, P. H. Rabinowitz, “Hybrid mountain pass homoclinic solutions of a class of semilinear elliptic PDEs”, Ann. Inst. H. Poincar'e Anal. Non Lin'eaire, 31 (2014), 103–128  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 9)  scopus (cited: 10)

   2013
17. S. Bolotin, P. Negrini, “Variational approach to second species periodic solutions of Poincar'e three-body problem”, Discrete Contin. Dyn. Syst., 33:3 (2013), 1009–1032 , arXiv: 1104.2288  mathnet  crossref  mathscinet  zmath  isi (cited: 9)  elib (cited: 3)  scopus (cited: 9)
18. S. V. Bolotin, T. V. Popova, “On the motion of a mechanical system inside a rolling ball”, Regul. Chaotic Dyn., 18:1-2 (2013), 159–165  mathnet (cited: 11)  crossref  mathscinet  zmath  zmath  adsnasa  isi (cited: 9)  elib (cited: 9)  scopus (cited: 9)
19. S. Bolotin, P. Negrini, “Shilnikov lemma for a nondegenerate critical manifold of a Hamiltonian system”, Regul. Chaotic Dyn., 18:6 (2013), 774–800  mathnet (cited: 6)  crossref  mathscinet  zmath  adsnasa  isi (cited: 6)  elib (cited: 1)  scopus (cited: 6)
20. Sergey V. Bolotin, Tatiana V. Popova, “On the motion of a mechanical system inside a rolling ball”, Nelin. Dinam., 9:1 (2013), 51–58  mathnet  elib

   2012
21. S. V. Bolotin, “Zadacha optimalnogo upravleniya kacheniem shara s rotorami”, Nelineinaya dinam., 8:4 (2012), 837–852  mathnet (cited: 3)  elib (cited: 1)
22. S. V. Bolotin, “The problem of optimal control of a Chaplygin ball by internal rotors”, Regul. Chaotic Dyn., 17:6 (2012), 559–570  mathnet (cited: 11)  crossref  mathscinet  zmath  adsnasa  isi (cited: 9)  elib (cited: 4)  scopus (cited: 11)

   2011
23. 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  crossref  mathscinet  zmath  isi (cited: 2)

   2010
24. S. V. Bolotin, D. V. Treschev, “Hill's formula”, Russian Math. Surveys, 65:2 (2010), 191–257  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  adsnasa  isi (cited: 14)  elib (cited: 5)  elib (cited: 5)  scopus (cited: 11)
25. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  adsnasa  isi  elib
26. 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  crossref  mathscinet  zmath  isi
27. 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  mathnet  elib
28. S. V. Bolotin, A. V. Karapetyan, E. I. Kugushev, D. V. Treschev, Teoreticheskaya mekhanika, Izd-vo «Akademiya», Moskva, 2010 , 432 pp.


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