Sevryuk Mikhail Borisovich

Publications in Math-Net.Ru

1. Three Examples in the Dynamical Systems Theory
   
   SIGMA, 18 (2022), 084, 13 pp.
2. Partial preservation of frequencies and floquet exponents of invariant tori in the reversible KAM context 2
   
   CMFD, 63:3 (2017),  516–541
3. Herman's approach to quasi-periodic perturbations in the reversible KAM context 2
   
   Mosc. Math. J., 17:4 (2017),  803–823
4. Families of Invariant Tori in KAM Theory: Interplay of Integer Characteristics
   
   Regul. Chaotic Dyn., 22:6 (2017),  603–615
5. Whitney Smooth Families of Invariant Tori within the Reversible Context 2 of KAM Theory
   
   Regul. Chaotic Dyn., 21:6 (2016),  599–620
6. Translation of the V. I. Arnold Paper "From Superpositions to KAM Theory" (Vladimir Igorevich Arnold. Selected–60, Moscow: PHASIS, 1997, pp. 727–740)
   
   Regul. Chaotic Dyn., 19:6 (2014),  734–744
7. Statistics of Energy Partitions for Many-Particle Systems in Arbitrary Dimension
   
   Regul. Chaotic Dyn., 19:3 (2014),  318–347
8. KAM theory for lower dimensional tori within the reversible context 2
   
   Mosc. Math. J., 12:2 (2012),  435–455
9. The reversible context 2 in KAM theory: the first steps
   
   Regul. Chaotic Dyn., 16:1-2 (2011),  24–38
10. Partial Preservation of Frequencies and Floquet Exponents in KAM Theory
    
    Trudy Mat. Inst. Steklova, 259 (2007),  174–202
11. The classical KAM theory at the dawn of the twenty-first century
    
    Mosc. Math. J., 3:3 (2003),  1113–1144
12. On the Convergence of Coordinate Transformations in the KAM Procedure
    
    Regul. Chaotic Dyn., 5:2 (2000),  181–188
13. Invariant tori of intermediate dimensions in Hamiltonian systems
    
    Regul. Chaotic Dyn., 3:1 (1998),  39–48
14. Invariant tori of intermediate dimensions in Hamiltonian systems
    
    Regul. Chaotic Dyn., 2:3-4 (1997),  30–40
15. Invariant tori of Hamiltonian systems that are nondegenerate in Rüssmann’s sense
    
    Dokl. Akad. Nauk, 346:5 (1996),  590–593
16. Some problems of the KAM-theory: conditionally-periodic motions in typical systems
    
    Uspekhi Mat. Nauk, 50:2(302) (1995),  111–124
17. Invariant tori of reversible systems of intermediate dimensions
    
    Dokl. Akad. Nauk, 328:5 (1993),  550–553
18. Estimate of the number of collisions of $n$ elastic particles on a line
    
    TMF, 96:1 (1993),  64–78
19. Invariant tori of reversible systems in the presence of additional even coordinates
    
    Dokl. Akad. Nauk, 326:3 (1992),  421–424
20. Stationary and nonstationary stability of periodic solutions of reversible systems
    
    Funktsional. Anal. i Prilozhen., 23:2 (1989),  40–48
21. On invariant tori of reversible systems in the neighbourhood of an equilibrium position
    
    Uspekhi Mat. Nauk, 42:4(256) (1987),  191–192
22. Integral homology of spaces of degenerate binary forms over $\mathbf{C}$
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1985, no. 5,  18–20
23. The cohomology of projectively compactified complex swallow-tails and their complements
    
    Uspekhi Mat. Nauk, 39:5(239) (1984),  251–252


24. On the history of KAM theory
    
    Nelin. Dinam., 12:2 (2016),  289–293
25. Мой научный руководитель — В. И. Арнольд
    
    Mat. Pros., Ser. 3, 2 (1998),  13–18
26. Invariant sets of degenerate Hamiltonian systems near equilibria
    
    Regul. Chaotic Dyn., 3:3 (1998),  82–92
27. Vladimir Igorevich Arnol'd (on his 60th birthday)
    
    Uspekhi Mat. Nauk, 52:5(317) (1997),  235–255
28. Errata: “Invariant tori of reversible systems of intermediate dimensions” [Dokl. Akad. Nauk 328 (1993), no. 5, 550–553]
    
    Dokl. Akad. Nauk, 346:4 (1996),  576
29. Поправки к статье “Инвариантные торы обратимых систем при наличии дополнительных четных координат” (ДАН, 1992 г., т. 326, № 3, с. 421–424)
    
    Dokl. Akad. Nauk, 330:5 (1993),  672