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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  scopus;
2. Sergey Bolotin, “Shadowing Homoclinic Chains to a Symplectic Critical Manifold”, Anal. Theory Appl., 37:1 (2021), 1–23  mathnet  crossref;

   2020
3. 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
4. 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
5. 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  isi
6. 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  isi

   2019
7. 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: 1)  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)

   2018
8. 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  isi (cited: 2)  elib  scopus (cited: 2)

   2017
9. 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)
10. 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  isi (cited: 5)  elib  elib  scopus (cited: 1)
11. 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  isi (cited: 5)  elib  elib  elib  scopus (cited: 3)

   2016
12. 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
13. 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  isi (cited: 9)  elib  elib  scopus (cited: 11)
14. S. V. Bolotin, D. V. Treschev, “The anti-integrable limit”, Russian Math. Surveys, 70:6 (2015), 975–1030  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 17)  elib  elib  scopus (cited: 12)

   2014
15. 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  mathnet  crossref  mathscinet  zmath  isi (cited: 8)  scopus (cited: 9)

   2013
16. 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  mathnet  crossref  mathscinet  zmath  isi (cited: 9)  elib (cited: 3)  scopus (cited: 9)
17. 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  isi (cited: 9)  elib (cited: 9)  scopus (cited: 9)
18. 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  isi (cited: 6)  elib (cited: 1)  scopus (cited: 6)
19. 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
20. S. V. Bolotin, “Zadacha optimalnogo upravleniya kacheniem shara s rotorami”, Nelineinaya dinam., 8:4 (2012), 837–852  mathnet (cited: 3)  elib (cited: 1)
21. 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: 10)  crossref  mathscinet  zmath  isi (cited: 9)  elib (cited: 4)  scopus (cited: 10)

   2011
22. 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: 1)

   2010
23. S. V. Bolotin, D. V. Treschev, “Hill's formula”, Russian Math. Surveys, 65:2 (2010), 191–257  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 13)  elib (cited: 5)  elib (cited: 5)  scopus (cited: 11)
24. 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  isi  elib
25. 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
26. 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
27. 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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