Bolsinov Aleksei Viktorovich

Publications in Math-Net.Ru

1. A Note about Integrable Systems on Low-dimensional Lie Groups and Lie Algebras
   
   Regul. Chaotic Dyn., 24:3 (2019),  266–280
2. Complete commutative subalgebras in polynomial Poisson algebras: a proof of the Mischenko–Fomenko conjecture
   
   Theor. Appl. Mech., 43:2 (2016),  145–168
3. Argument shift method and sectional operators: applications to differential geometry
   
   Fundam. Prikl. Mat., 20:3 (2015),  5–31
4. Topological monodromy as an obstruction to Hamiltonization of nonholonomic systems: Pro or contra?
   
   J. Geom. Phys., 87 (2015),  61–75
5. Topology and bifurcations in nonholonomic mechanics
   
   Nelin. Dinam., 11:4 (2015),  735–762
6. Geometrisation of Chaplygin's reducing multiplier theorem
   
   Nonlinearity, 28:7 (2015),  2307–2318
7. Geometrization of the Chaplygin reducing-multiplier theorem
   
   Nelin. Dinam., 9:4 (2013),  627–640
8. Topological monodromy in nonholonomic systems
   
   Nelin. Dinam., 9:2 (2013),  203–227
9. Rolling without spinning of a ball on a plane: absence of an invariant measure in a system with a complete set of first integrals
   
   Nelin. Dinam., 8:3 (2012),  605–616
10. Rolling of a Ball without Spinning on a Plane: the Absence of an Invariant Measure in a System with a Complete Set of Integrals
    
    Regul. Chaotic Dyn., 17:6 (2012),  571–579
11. The Bifurcation Analysis and the Conley Index in Mechanics
    
    Regul. Chaotic Dyn., 17:5 (2012),  451–478
12. Алгебраические и геометрические свойства квадратичных гамильтонианов, задаваемых секционными операторами
    
    Mat. Zametki, 90:5 (2011),  689–702
13. The bifurcation analysis and the Conley index in mechanics
    
    Nelin. Dinam., 7:3 (2011),  649–681
14. Hamiltonization of Nonholonomic Systems in the Neighborhood of Invariant Manifolds
    
    Regul. Chaotic Dyn., 16:5 (2011),  443–464
15. Hamiltonisation of non-holonomic systems in the neighborhood of invariant manifolds
    
    Nelin. Dinam., 6:4 (2010),  829–854
16. Topology and stability of integrable systems
    
    Uspekhi Mat. Nauk, 65:2(392) (2010),  71–132
17. A Formal Frobenius Theorem and Argument Shift
    
    Mat. Zametki, 86:1 (2009),  3–13
18. Compatible Poisson Brackets on Lie Algebras
    
    Mat. Zametki, 72:1 (2002),  11–34
19. Integrable geodesic flows on homogeneous spaces
    
    Mat. Sb., 192:7 (2001),  21–40
20. The method of loop molecules and the topology of the Kovalevskaya top
    
    Mat. Sb., 191:2 (2000),  3–42
21. Integrable Geodesic Flows on the Suspensions of Toric Automorphisms
    
    Trudy Mat. Inst. Steklova, 231 (2000),  46–63
22. Lie algebras in vortex dynamics and celestial mechanics — IV
    
    Regul. Chaotic Dyn., 4:1 (1999),  23–50
23. On an example of an integrable geodesic flow with positive topological entropy
    
    Uspekhi Mat. Nauk, 54:4(328) (1999),  157–158
24. Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometry
    
    Mat. Sb., 189:10 (1998),  5–32
25. On Euler Case in Rigid Body Dynamics and Jacobi Problem
    
    Regul. Chaotic Dyn., 2:1 (1997),  13–25
26. Fomenko invariants in the theory of integrable Hamiltonian systems
    
    Uspekhi Mat. Nauk, 52:5(317) (1997),  113–132
27. On the dimension of the space of integrable Hamiltonian systems with two degrees of freedom
    
    Trudy Mat. Inst. Steklova, 216 (1997),  45–69
28. Singularities of momentum maps of integrable Hamiltonian systems with two degrees of freedom
    
    Zap. Nauchn. Sem. POMI, 235 (1996),  54–86
29. Exact topological classification of Hamiltonian flows on smooth two-dimensional surfaces
    
    Zap. Nauchn. Sem. POMI, 235 (1996),  22–53
30. Orbital Classification of Geodesic Flows on Two-Dimensional Ellipsoids. The Jacobi Problem is Orbitally Equivalent to the Integrable Euler Case in Rigid Body Dynamics
    
    Funktsional. Anal. i Prilozhen., 29:3 (1995),  1–15
31. Orbital invariants of integrable Hamiltonian systems. The case of simple systems. Orbital classification of systems of Euler type in rigid body dynamics
    
    Izv. RAN. Ser. Mat., 59:1 (1995),  65–102
32. The Maupertuis principle and geodesic flows on the sphere arising from integrable cases in the dynamics of a rigid body
    
    Uspekhi Mat. Nauk, 50:3(303) (1995),  3–32
33. A criterion for the topological conjugacy of Hamiltonian flows on two-dimensional compact surfaces
    
    Uspekhi Mat. Nauk, 50:1(301) (1995),  189–190
34. A smooth trajectory classification of integrable Hamiltonian systems with two degrees of freedom
    
    Mat. Sb., 186:1 (1995),  3–28
35. The geodesic flow of an ellipsoid is orbitally equivalent to the integrable Euler case in the dynamics of a rigid body
    
    Dokl. Akad. Nauk, 339:3 (1994),  293–296
36. Integrable geodesic flows on the sphere, generated by Goryachev–Chaplygin and Kowalewski systems in the dynamics of a rigid body
    
    Mat. Zametki, 56:2 (1994),  139–142
37. The classification of Hamiltonian systems on two-dimensional surfaces
    
    Uspekhi Mat. Nauk, 49:6(300) (1994),  195–196
38. Smooth trajectory classification of integrable Hamiltonian systems with two degrees of freedom. The case of systems with planar atoms
    
    Uspekhi Mat. Nauk, 49:3(297) (1994),  173–174
39. Orbital equivalence of integrable Hamiltonian systems with two degrees of freedom. A classification theorem. II
    
    Mat. Sb., 185:5 (1994),  27–78
40. Orbital equivalence of integrable Hamiltonian systems with two degrees of freedom. A classification theorem. I
    
    Mat. Sb., 185:4 (1994),  27–80
41. Three types bordisms of integrable systems with two degrees of freedom. Computation of bordism groups
    
    Trudy Mat. Inst. Steklov., 205 (1994),  32–72
42. Unsolved problems in the theory of topological classification of integrable systems
    
    Trudy Mat. Inst. Steklov., 205 (1994),  18–31
43. Trajectory classification of simple integrable Hamiltonian systems on three-dimensional surfaces of constant energy
    
    Dokl. Akad. Nauk, 332:5 (1993),  553–555
44. Trajectory classification of integrable systems of Euler type in the dynamics of a rigid body
    
    Uspekhi Mat. Nauk, 48:5(293) (1993),  163–164
45. Multidimensional integrable generalizations of Steklov–Lyapunov systems
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1992, no. 6,  53–56
46. Compatible Poisson brackets on Lie algebras and completeness of families of functions in involution
    
    Izv. Akad. Nauk SSSR Ser. Mat., 55:1 (1991),  68–92
47. Topological classification of integrable Hamiltonian systems with two degrees of freedom. List of systems of small complexity
    
    Uspekhi Mat. Nauk, 45:2(272) (1990),  49–77
48. A criterion for the completeness of a family of functions in involution that is constructed by the argument translation method
    
    Dokl. Akad. Nauk SSSR, 301:5 (1988),  1037–1040
49. Involutory families of functions on dual spaces of Lie algebras of type $G\underset\varphi+ V$
    
    Uspekhi Mat. Nauk, 42:6(258) (1987),  183–184
50. Complete integrability of Euler's equations on the orbits of $\mathrm{Ad}^*$ of the groups $U(n)\underset\varphi{\times}\mathbf{C}^n$ and $U(n)\underset\psi{\times}\mathbf{C}^n$
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1986, no. 4,  79–81


51. Iskander Asanovich Taimanov (on his 60th birthday)
    
    Uspekhi Mat. Nauk, 77:6(468) (2022),  209–218
52. Chaos and integrability in $\operatorname{SL}(2,\mathbb R)$-geometry
    
    Uspekhi Mat. Nauk, 76:4(460) (2021),  3–36
53. Anatolii Timofeevich Fomenko
    
    Chebyshevskii Sb., 21:2 (2020),  5–7
54. Nikolaí N. Nekhoroshev
    
    Regul. Chaotic Dyn., 21:6 (2016),  593–598
55. Bi-Hamiltonian structures and singularities of integrable systems
    
    Regul. Chaotic Dyn., 14:4-5 (2009),  431–454
56. Nikolai Nikolaevich Nekhoroshev (obituary)
    
    Uspekhi Mat. Nauk, 64:3(387) (2009),  174–178