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Bolsinov, Alexey V.

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Author ID: bolsinov.alexey-v Recent zbMATH articles by "Bolsinov, Alexey V."
Published as: Bolsinov, A.; Bolsinov, A. V.; Bolsinov, Alekseí V.; Bolsinov, Alexei V.; Bolsinov, Alexey; Bolsinov, Alexey V.
Homepage: https://www.lboro.ac.uk/departments/maths/staff/academic/alexey-bolsinov/
External Links: MGP · Math-Net.Ru · ResearchGate · dblp
Documents Indexed: 101 Publications since 1985, including 6 Books
Reviewing Activity: 1 Review
all top 5

Serials

11 Russian Mathematical Surveys
7 Regular and Chaotic Dynamics
6 Trudy Seminara po Vektornomu i Tenzornomu Analizu
5 Journal of Geometry and Physics
5 Journal of Mathematical Sciences (New York)
4 Mathematical Notes
4 Sbornik: Mathematics
2 Communications in Mathematical Physics
2 Transactions of the American Mathematical Society
2 Journal of Physics A: Mathematical and General
2 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika
2 Russian Academy of Sciences. Sbornik. Mathematics
2 Russian Academy of Sciences. Doklady. Mathematics
2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Moscow University Mathematics Bulletin
1 Moscow University Mechanics Bulletin
1 Nonlinearity
1 Uspekhi Matematicheskikh Nauk [N. S.]
1 Commentarii Mathematici Helvetici
1 Functional Analysis and its Applications
1 Inventiones Mathematicae
1 Journal of Algebra
1 Journal of Differential Geometry
1 Journal of the London Mathematical Society. Second Series
1 Mathematics of the USSR. Izvestiya
1 Mathematische Zeitschrift
1 Soviet Mathematics. Doklady
1 Acta Applicandae Mathematicae
1 Annals of Global Analysis and Geometry
1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Russian Journal of Mathematical Physics
1 Izvestiya: Mathematics
1 Transformation Groups
1 Methods of Functional Analysis and Topology
1 Regularnaya & Khaoticheskaya Dinamika
1 The Journal of Symplectic Geometry
1 Chebyshevskiĭ Sbornik
1 Advanced Courses in Mathematics – CRM Barcelona

Publications by Year

Citations contained in zbMATH

76 Publications have been cited 943 times in 531 Documents Cited by Year
Integrable Hamiltonian systems. Geometry, topology, classification. Translated from the 1999 Russian original. Zbl 1056.37075
Bolsinov, A. V.; Fomenko, A. T.
110
2004
Integrable Hamiltonian systems. Geometry, topology, classification. Vol. 1, 2. Zbl 1053.37518
Bolsinov, A. V.; Fomenko, A. T.
54
1999
Integrable geodesic flows with positive topological entropy. Zbl 0985.37027
Bolsinov, Alexey V.; Taimanov, Iskander A.
39
2000
Geometrical interpretation of Benenti systems. Zbl 1010.37035
Bolsinov, Alexey V.; Matveev, Vladimir S.
34
2003
Topology and stability of integrable systems. Zbl 1202.37077
Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S.
33
2010
Compatible Poisson brackets on Lie algebras and completeness of families of functions in involution. Zbl 0744.58030
Bolsinov, A. V.
30
1991
Hamiltonization of non-holonomic systems in the neighborhood of invariant manifolds. Zbl 1309.37049
Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S.
27
2011
Compatible Poisson brackets on Lie algebras. Zbl 1042.37041
Bolsinov, A. V.; Borisov, A. V.
25
2002
Noncommutative integrability, moment map and geodesic flows. Zbl 1022.37038
Bolsinov, Alexey V.; Jovanović, Božidar Žarko
24
2003
Introduction to the topology of integrable Hamiltonian systems. Zbl 0908.58026
Bolsinov, A. V.; Fomenko, A. T.
24
1997
Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometry. Zbl 0917.58031
Bolsinov, A. V.; Matveev, V. S.; Fomenko, A. T.
23
1998
Commutative families of functions related to consistent Poisson brackets. Zbl 0746.58035
Bolsinov, A. V.
23
1991
Singularities of integrable Hamiltonian systems. Zbl 1329.37053
Bolsinov, Alexey V.; Oshemkov, Andrey A.
21
2006
The Maupertuis principle and geodesic flows on the sphere arising from integrable cases in the dynamics of a rigid body. Zbl 0881.58031
Bolsinov, A. V.; Kozlov, V. V.; Fomenko, A. T.
20
1995
Topological classification of integrable Hamiltonian systems with two degrees of freedom. List of systems of small complexity. Zbl 0705.58025
Bolsinov, A. V.; Matveev, S. V.; Fomenko, A. T.
20
1990
Rolling of a ball without spinning on a plane: the absence of an invariant measure in a system with a complete set of integrals. Zbl 1267.37066
Bolsinov, Alexey V.; Borisov, Alexey V.; Mamaev, Ivan S.
19
2012
Bi-Hamiltonian structures and singularities of integrable systems. Zbl 1229.37092
Bolsinov, A. V.; Oshemkov, A. A.
18
2009
The method of loop molecules and the topology of the Kovalevskaya top. Zbl 0983.37068
Bolsinov, A. V.; Richter, P. H.; Fomenko, A. T.
18
2000
Geometrisation of Chaplygin’s reducing multiplier theorem. Zbl 1333.37103
Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S.
17
2015
Methods of calculation of the Fomenko-Zieschang invariant. Zbl 0744.58029
Bolsinov, A. V.
17
1991
Topological classification of integrable Hamiltonian systems with two degrees of freedom. List of systems of small complexity. Zbl 0696.58019
Bolsinov, A. V.; Matveev, S. V.; Fomenko, A. T.
16
1990
Integrable geodesic flows on two-dimensional surfaces. Zbl 1042.37042
Bolsinov, A. V.; Fomenko, A. T.
15
2000
Singularities of bi-Hamiltonian systems. Zbl 1315.37040
Bolsinov, Alexey; Izosimov, Anton
14
2014
Splitting and gluing lemmas for geodesically equivalent pseudo-Riemannian metrics. Zbl 1220.53020
Bolsinov, Alexey V.; Matveev, Vladimir S.
14
2011
Local normal forms for geodesically equivalent pseudo-Riemannian metrics. Zbl 1320.53024
Bolsinov, Alexey V.; Matveev, Vladimir S.
13
2015
Bifurcation analysis and the Conley index in mechanics. Zbl 1252.76055
Bolsinov, Alexey V.; Borisov, Alexey V.; Mamaev, Ivan S.
12
2012
Complete involutive algebras of functions on cotangent bundles of homogeneous spaces. Zbl 1066.70012
Bolsinov, Alexey V.; Jovanović, Božidar Žarko
12
2004
Lie algebras in vortex dynamics and celestial mechanics. IV. Zbl 1076.76513
Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S.
12
1999
Compatible Poisson brackets on Lie algebras and completeness of families of functions in involution. Zbl 0731.58026
Bolsinov, A. V.
12
1991
Normal forms for pseudo-Riemannian 2-dimensional metrics whose geodesic flows admit integrals quadratic in momenta. Zbl 1169.53054
Bolsinov, Alexey V.; Matveev, Vladimir S.; Pucacco, Giuseppe
11
2009
Complete involutive sets of polynomials in Poisson algebras: a proof of the Mishchenko-Fomenko conjecture. Zbl 1133.37326
Bolsinov, A. V.
11
2005
Orbital classification of geodesic flows on two-dimensional ellipsoids. The Jacobi problem is orbitally equivalent to the integrable Euler case in rigid body dynamics. Zbl 0878.58036
Bolsinov, A. V.; Fomenko, A. T.
11
1995
Jordan-Kronecker invariants of finite-dimensional Lie algebras. Zbl 1387.17011
Bolsinov, A. V.; Zhang, P.
10
2016
Magnetic flows on homogeneous spaces. Zbl 1168.70007
Bolsinov, Alexey V.; Jovanović, Božidar Žarko
10
2008
Geodesics on the ellipsoid and monodromy. Zbl 1148.53026
Davison, Chris M.; Dullin, Holger R.; Bolsinov, Alexey V.
10
2007
Orbital equivalence of integrable Hamiltonian systems with two degrees of freedom. A classification theorem. I. Zbl 0828.58020
Bolsinov, A. V.; Fomenko, A. T.
10
1994
Topology and bifurcations in nonholonomic mechanics. Zbl 1326.70022
Bizyaev, Ivan A.; Bolsinov, Alexey; Borisov, Alexey; Mamaev, Ivan
9
2015
Integrable geodesic flows on Riemannian manifolds: construction and obstructions. Zbl 1154.37356
Bolsinov, Alexey V.; Jovanović, Božidar Žarko
9
2004
A smooth trajectory classification of integrable Hamiltonian systems with two degrees of freedom. Zbl 0849.58026
Bolsinov, A. V.
9
1995
A Fubini theorem for pseudo-Riemannian geodesically equivalent metrics. Zbl 1175.53022
Bolsinov, Alexey V.; Kiosak, Volodymyr; Matveev, Vladimir S.
8
2009
Spectra of Sol-manifolds: Arithmetic and quantum monodromy. Zbl 1109.58027
Bolsinov, A. V.; Dullin, H. R.; Veselov, A. P.
8
2006
Magnetic geodesic flows on coadjoint orbits. Zbl 1089.70010
Bolsinov, Alexey V.; Jovanović, Božidar Žarko
7
2006
Integrable geodesic flows on Riemannian manifolds. Zbl 1071.37037
Bolsinov, A. V.
7
2004
Topology of energy surfaces and existence of transversal Poincaré sections. Zbl 0905.58006
Bolsinov, A.; Dullin, H. R.; Wittek, A.
6
1996
Integrable geodesic flows on the suspensions of toric automorphisms. Zbl 1005.53064
Bolsinov, A. V.; Taimanov, I. A.
5
2000
On an example of an integrable geodesic flow with positive topological entropy. Zbl 1058.37520
Bolsinov, A. V.; Taĭmanov, I. A.
5
1999
The geodesic flow of an ellipsoid is orbitally equivalent to the Euler integrable case in the dynamics of a rigid body. Zbl 0872.58036
Bolsinov, A. V.; Fomenko, A. T.
5
1994
Orbital equivalence of integrable Hamiltonian systems with two degrees of freedom. A classification theorem. II. Zbl 0868.58026
Bolsinov, A. V.; Fomenko, A. T.
5
1994
Integrable geodesic flows on the sphere, generated by Goryachev-Chaplygin and Kowalewski systems in the dynamics of a rigid body. Zbl 0835.70008
Bolsinov, A. V.; Fomenko, A. T.
5
1994
A completeness criterion for a family of functions in involution constructed by the argument shift method. Zbl 0676.58027
Bolsinov, A. V.
5
1989
Open problems, questions and challenges in finite- dimensional integrable systems. Zbl 1407.53089
Bolsinov, Alexey; Matveev, Vladimir S.; Miranda, Eva; Tabachnikov, Serge
4
2018
Four-dimensional Kähler metrics admitting c-projective vector fields. Zbl 1312.53095
Bolsinov, Alexey V.; Matveev, Vladimir S.; Mettler, Thomas; Rosemann, Stefan
4
2015
Integrable geodesic flows on homogeneous spaces. Zbl 1035.53115
Bolsinov, A. V.; Jovanovič, Božidar Žarko
4
2001
Finite-dimensional integrable systems: a collection of research problems. Zbl 1381.37068
Bolsinov, A. V.; Izosimov, A. M.; Tsonev, D. M.
3
2017
Some remarks about Mishchenko-Fomenko subalgebras. Zbl 1418.17029
Bolsinov, Alexey
3
2017
Topological monodromy as an obstruction to Hamiltonization of nonholonomic systems: pro or contra? Zbl 1322.37029
Bolsinov, A. V.; Kilin, A. A.; Kazakov, A. O.
3
2015
On a new class of holonomy groups in pseudo-Riemannian geometry. Zbl 1296.53101
Bolsinov, Alexey; Tsonev, Dragomir
3
2014
Algebraic and geometric properties of quadratic Hamiltonians determined by sectional operators. Zbl 1317.37068
Bolsinov, A. V.; Konyaev, A. Yu.
3
2011
Topological methods in the theory of integrable systems. Zbl 1142.37001
Bolsinov, A. V.; Fomenko, A. T.; Oshemkov, A. A.
3
2006
Integrable Hamiltonian systems: Topological structure of saturated neighborhoods of nondegenerate singular points. Zbl 0989.37055
Bolsinov, A. V.; Matveev, V. S.
3
1998
Multidimensional Euler and Clebsch cases and Lie pencils. Zbl 0985.37063
Bolsinov, A. V.
3
1998
Orbital isomorphism between two classical integrable systems. Zbl 0904.58024
Bolsinov, A. V.; Fomenko, A. T.
3
1998
On the Euler case in the dynamics of a rigid body and the Jacobi problem. Zbl 1001.70502
Bolsinov, A. V.; Dullin, H.
3
1997
Multidimensional integrable generalizations of Steklov-Lyapunov systems. Zbl 0774.70008
Bolsinov, A. V.; Fedorov, Yu. N.
3
1992
A formal Frobenius theorem and argument shift. Zbl 1183.17010
Bolsinov, A. V.; Zuev, K. M.
2
2009
On dimension of the space of integrable Hamiltonian systems with two degrees of freedom. Zbl 1073.37532
Bolsinov, A. V.; Fomenko, A. T.
2
1997
Singularities of momentum maps of integrable Hamiltonian systems with two degrees of freedom. Zbl 1114.37304
Bolsinov, A. V.; Matveev, V. S.
2
1996
Orbital invariants of integrable Hamiltonian systems. The case of simple systems. Orbital classification of systems of Euler type in rigid body dynamics. Zbl 0840.58022
Bolsinov, A. V.; Fomenko, A. T.
2
1995
Smooth invariants of focus-focus singularities and obstructions to product decomposition. Zbl 07153974
Bolsinov, Alexey; Izosimov, Anton
1
2019
Symplectic invariants for parabolic orbits and cusp singularities of integrable systems. Zbl 1407.37096
Bolsinov, Alexey; Guglielmi, Lorenzo; Kudryavtseva, Elena
1
2018
Singularities of bi-Hamiltonian systems and stability analysis. Zbl 1370.37111
Bolsinov, Alexey
1
2016
Nikolai Nikolaevich Nekhoroshev (obituary). Zbl 1175.01064
Abramov, A. M.; Arnol’d, V. I.; Bolsinov, A. V.; Varchenko, A. N.; Galgani, L.; Zhilinskii, B. I.; Il’yashenko, Yu. S.; Kozlov, Valerii V.; Neishtadt, Anatolii I.; Piterbarg, Vladimir I.; Khovanskii, Askold G.; Yashchenko, Valerii V.
1
2009
Fomenko invariants in the theory of integrable Hamiltonian systems. Zbl 0920.58027
Bolsinov, A. V.
1
1997
Application of classification theory for integrable Hamiltonian systems to geodesic flows on 2-sphere and 2-torus and to the description of the topological structure of momentum mapping near singular points. Zbl 0855.58046
Bolsinov, A. V.; Fomenko, A. T.
1
1996
Orbital classification of simple integrable Hamiltonian systems on three- dimensional constant-energy surfaces. Zbl 0820.58017
Bolsinov, A. V.; Fomenko, A. T.
1
1993
Trajectory classification of integrable systems of Euler type in the dynamics of a rigid body. Zbl 0820.58029
Bolsinov, A. V.; Fomenko, A. T.
1
1993
Smooth invariants of focus-focus singularities and obstructions to product decomposition. Zbl 07153974
Bolsinov, Alexey; Izosimov, Anton
1
2019
Open problems, questions and challenges in finite- dimensional integrable systems. Zbl 1407.53089
Bolsinov, Alexey; Matveev, Vladimir S.; Miranda, Eva; Tabachnikov, Serge
4
2018
Symplectic invariants for parabolic orbits and cusp singularities of integrable systems. Zbl 1407.37096
Bolsinov, Alexey; Guglielmi, Lorenzo; Kudryavtseva, Elena
1
2018
Finite-dimensional integrable systems: a collection of research problems. Zbl 1381.37068
Bolsinov, A. V.; Izosimov, A. M.; Tsonev, D. M.
3
2017
Some remarks about Mishchenko-Fomenko subalgebras. Zbl 1418.17029
Bolsinov, Alexey
3
2017
Jordan-Kronecker invariants of finite-dimensional Lie algebras. Zbl 1387.17011
Bolsinov, A. V.; Zhang, P.
10
2016
Singularities of bi-Hamiltonian systems and stability analysis. Zbl 1370.37111
Bolsinov, Alexey
1
2016
Geometrisation of Chaplygin’s reducing multiplier theorem. Zbl 1333.37103
Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S.
17
2015
Local normal forms for geodesically equivalent pseudo-Riemannian metrics. Zbl 1320.53024
Bolsinov, Alexey V.; Matveev, Vladimir S.
13
2015
Topology and bifurcations in nonholonomic mechanics. Zbl 1326.70022
Bizyaev, Ivan A.; Bolsinov, Alexey; Borisov, Alexey; Mamaev, Ivan
9
2015
Four-dimensional Kähler metrics admitting c-projective vector fields. Zbl 1312.53095
Bolsinov, Alexey V.; Matveev, Vladimir S.; Mettler, Thomas; Rosemann, Stefan
4
2015
Topological monodromy as an obstruction to Hamiltonization of nonholonomic systems: pro or contra? Zbl 1322.37029
Bolsinov, A. V.; Kilin, A. A.; Kazakov, A. O.
3
2015
Singularities of bi-Hamiltonian systems. Zbl 1315.37040
Bolsinov, Alexey; Izosimov, Anton
14
2014
On a new class of holonomy groups in pseudo-Riemannian geometry. Zbl 1296.53101
Bolsinov, Alexey; Tsonev, Dragomir
3
2014
Rolling of a ball without spinning on a plane: the absence of an invariant measure in a system with a complete set of integrals. Zbl 1267.37066
Bolsinov, Alexey V.; Borisov, Alexey V.; Mamaev, Ivan S.
19
2012
Bifurcation analysis and the Conley index in mechanics. Zbl 1252.76055
Bolsinov, Alexey V.; Borisov, Alexey V.; Mamaev, Ivan S.
12
2012
Hamiltonization of non-holonomic systems in the neighborhood of invariant manifolds. Zbl 1309.37049
Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S.
27
2011
Splitting and gluing lemmas for geodesically equivalent pseudo-Riemannian metrics. Zbl 1220.53020
Bolsinov, Alexey V.; Matveev, Vladimir S.
14
2011
Algebraic and geometric properties of quadratic Hamiltonians determined by sectional operators. Zbl 1317.37068
Bolsinov, A. V.; Konyaev, A. Yu.
3
2011
Topology and stability of integrable systems. Zbl 1202.37077
Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S.
33
2010
Bi-Hamiltonian structures and singularities of integrable systems. Zbl 1229.37092
Bolsinov, A. V.; Oshemkov, A. A.
18
2009
Normal forms for pseudo-Riemannian 2-dimensional metrics whose geodesic flows admit integrals quadratic in momenta. Zbl 1169.53054
Bolsinov, Alexey V.; Matveev, Vladimir S.; Pucacco, Giuseppe
11
2009
A Fubini theorem for pseudo-Riemannian geodesically equivalent metrics. Zbl 1175.53022
Bolsinov, Alexey V.; Kiosak, Volodymyr; Matveev, Vladimir S.
8
2009
A formal Frobenius theorem and argument shift. Zbl 1183.17010
Bolsinov, A. V.; Zuev, K. M.
2
2009
Nikolai Nikolaevich Nekhoroshev (obituary). Zbl 1175.01064
Abramov, A. M.; Arnol’d, V. I.; Bolsinov, A. V.; Varchenko, A. N.; Galgani, L.; Zhilinskii, B. I.; Il’yashenko, Yu. S.; Kozlov, Valerii V.; Neishtadt, Anatolii I.; Piterbarg, Vladimir I.; Khovanskii, Askold G.; Yashchenko, Valerii V.
1
2009
Magnetic flows on homogeneous spaces. Zbl 1168.70007
Bolsinov, Alexey V.; Jovanović, Božidar Žarko
10
2008
Geodesics on the ellipsoid and monodromy. Zbl 1148.53026
Davison, Chris M.; Dullin, Holger R.; Bolsinov, Alexey V.
10
2007
Singularities of integrable Hamiltonian systems. Zbl 1329.37053
Bolsinov, Alexey V.; Oshemkov, Andrey A.
21
2006
Spectra of Sol-manifolds: Arithmetic and quantum monodromy. Zbl 1109.58027
Bolsinov, A. V.; Dullin, H. R.; Veselov, A. P.
8
2006
Magnetic geodesic flows on coadjoint orbits. Zbl 1089.70010
Bolsinov, Alexey V.; Jovanović, Božidar Žarko
7
2006
Topological methods in the theory of integrable systems. Zbl 1142.37001
Bolsinov, A. V.; Fomenko, A. T.; Oshemkov, A. A.
3
2006
Complete involutive sets of polynomials in Poisson algebras: a proof of the Mishchenko-Fomenko conjecture. Zbl 1133.37326
Bolsinov, A. V.
11
2005
Integrable Hamiltonian systems. Geometry, topology, classification. Translated from the 1999 Russian original. Zbl 1056.37075
Bolsinov, A. V.; Fomenko, A. T.
110
2004
Complete involutive algebras of functions on cotangent bundles of homogeneous spaces. Zbl 1066.70012
Bolsinov, Alexey V.; Jovanović, Božidar Žarko
12
2004
Integrable geodesic flows on Riemannian manifolds: construction and obstructions. Zbl 1154.37356
Bolsinov, Alexey V.; Jovanović, Božidar Žarko
9
2004
Integrable geodesic flows on Riemannian manifolds. Zbl 1071.37037
Bolsinov, A. V.
7
2004
Geometrical interpretation of Benenti systems. Zbl 1010.37035
Bolsinov, Alexey V.; Matveev, Vladimir S.
34
2003
Noncommutative integrability, moment map and geodesic flows. Zbl 1022.37038
Bolsinov, Alexey V.; Jovanović, Božidar Žarko
24
2003
Compatible Poisson brackets on Lie algebras. Zbl 1042.37041
Bolsinov, A. V.; Borisov, A. V.
25
2002
Integrable geodesic flows on homogeneous spaces. Zbl 1035.53115
Bolsinov, A. V.; Jovanovič, Božidar Žarko
4
2001
Integrable geodesic flows with positive topological entropy. Zbl 0985.37027
Bolsinov, Alexey V.; Taimanov, Iskander A.
39
2000
The method of loop molecules and the topology of the Kovalevskaya top. Zbl 0983.37068
Bolsinov, A. V.; Richter, P. H.; Fomenko, A. T.
18
2000
Integrable geodesic flows on two-dimensional surfaces. Zbl 1042.37042
Bolsinov, A. V.; Fomenko, A. T.
15
2000
Integrable geodesic flows on the suspensions of toric automorphisms. Zbl 1005.53064
Bolsinov, A. V.; Taimanov, I. A.
5
2000
Integrable Hamiltonian systems. Geometry, topology, classification. Vol. 1, 2. Zbl 1053.37518
Bolsinov, A. V.; Fomenko, A. T.
54
1999
Lie algebras in vortex dynamics and celestial mechanics. IV. Zbl 1076.76513
Bolsinov, A. V.; Borisov, A. V.; Mamaev, I. S.
12
1999
On an example of an integrable geodesic flow with positive topological entropy. Zbl 1058.37520
Bolsinov, A. V.; Taĭmanov, I. A.
5
1999
Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometry. Zbl 0917.58031
Bolsinov, A. V.; Matveev, V. S.; Fomenko, A. T.
23
1998
Integrable Hamiltonian systems: Topological structure of saturated neighborhoods of nondegenerate singular points. Zbl 0989.37055
Bolsinov, A. V.; Matveev, V. S.
3
1998
Multidimensional Euler and Clebsch cases and Lie pencils. Zbl 0985.37063
Bolsinov, A. V.
3
1998
Orbital isomorphism between two classical integrable systems. Zbl 0904.58024
Bolsinov, A. V.; Fomenko, A. T.
3
1998
Introduction to the topology of integrable Hamiltonian systems. Zbl 0908.58026
Bolsinov, A. V.; Fomenko, A. T.
24
1997
On the Euler case in the dynamics of a rigid body and the Jacobi problem. Zbl 1001.70502
Bolsinov, A. V.; Dullin, H.
3
1997
On dimension of the space of integrable Hamiltonian systems with two degrees of freedom. Zbl 1073.37532
Bolsinov, A. V.; Fomenko, A. T.
2
1997
Fomenko invariants in the theory of integrable Hamiltonian systems. Zbl 0920.58027
Bolsinov, A. V.
1
1997
Topology of energy surfaces and existence of transversal Poincaré sections. Zbl 0905.58006
Bolsinov, A.; Dullin, H. R.; Wittek, A.
6
1996
Singularities of momentum maps of integrable Hamiltonian systems with two degrees of freedom. Zbl 1114.37304
Bolsinov, A. V.; Matveev, V. S.
2
1996
Application of classification theory for integrable Hamiltonian systems to geodesic flows on 2-sphere and 2-torus and to the description of the topological structure of momentum mapping near singular points. Zbl 0855.58046
Bolsinov, A. V.; Fomenko, A. T.
1
1996
The Maupertuis principle and geodesic flows on the sphere arising from integrable cases in the dynamics of a rigid body. Zbl 0881.58031
Bolsinov, A. V.; Kozlov, V. V.; Fomenko, A. T.
20
1995
Orbital classification of geodesic flows on two-dimensional ellipsoids. The Jacobi problem is orbitally equivalent to the integrable Euler case in rigid body dynamics. Zbl 0878.58036
Bolsinov, A. V.; Fomenko, A. T.
11
1995
A smooth trajectory classification of integrable Hamiltonian systems with two degrees of freedom. Zbl 0849.58026
Bolsinov, A. V.
9
1995
Orbital invariants of integrable Hamiltonian systems. The case of simple systems. Orbital classification of systems of Euler type in rigid body dynamics. Zbl 0840.58022
Bolsinov, A. V.; Fomenko, A. T.
2
1995
Orbital equivalence of integrable Hamiltonian systems with two degrees of freedom. A classification theorem. I. Zbl 0828.58020
Bolsinov, A. V.; Fomenko, A. T.
10
1994
The geodesic flow of an ellipsoid is orbitally equivalent to the Euler integrable case in the dynamics of a rigid body. Zbl 0872.58036
Bolsinov, A. V.; Fomenko, A. T.
5
1994
Orbital equivalence of integrable Hamiltonian systems with two degrees of freedom. A classification theorem. II. Zbl 0868.58026
Bolsinov, A. V.; Fomenko, A. T.
5
1994
Integrable geodesic flows on the sphere, generated by Goryachev-Chaplygin and Kowalewski systems in the dynamics of a rigid body. Zbl 0835.70008
Bolsinov, A. V.; Fomenko, A. T.
5
1994
Orbital classification of simple integrable Hamiltonian systems on three- dimensional constant-energy surfaces. Zbl 0820.58017
Bolsinov, A. V.; Fomenko, A. T.
1
1993
Trajectory classification of integrable systems of Euler type in the dynamics of a rigid body. Zbl 0820.58029
Bolsinov, A. V.; Fomenko, A. T.
1
1993
Multidimensional integrable generalizations of Steklov-Lyapunov systems. Zbl 0774.70008
Bolsinov, A. V.; Fedorov, Yu. N.
3
1992
Compatible Poisson brackets on Lie algebras and completeness of families of functions in involution. Zbl 0744.58030
Bolsinov, A. V.
30
1991
Commutative families of functions related to consistent Poisson brackets. Zbl 0746.58035
Bolsinov, A. V.
23
1991
Methods of calculation of the Fomenko-Zieschang invariant. Zbl 0744.58029
Bolsinov, A. V.
17
1991
Compatible Poisson brackets on Lie algebras and completeness of families of functions in involution. Zbl 0731.58026
Bolsinov, A. V.
12
1991
Topological classification of integrable Hamiltonian systems with two degrees of freedom. List of systems of small complexity. Zbl 0705.58025
Bolsinov, A. V.; Matveev, S. V.; Fomenko, A. T.
20
1990
Topological classification of integrable Hamiltonian systems with two degrees of freedom. List of systems of small complexity. Zbl 0696.58019
Bolsinov, A. V.; Matveev, S. V.; Fomenko, A. T.
16
1990
A completeness criterion for a family of functions in involution constructed by the argument shift method. Zbl 0676.58027
Bolsinov, A. V.
5
1989
all top 5

Cited by 430 Authors

41 Borisov, Alekseĭ Vladimirovich
37 Mamaev, Ivan Sergeevich
26 Bolsinov, Alexey V.
24 Matveev, Vladimir S.
18 Bizyaev, Ivan Alekseevich
16 Fomenko, Anatoliĭ Timofeevich
16 Kilin, Aleksandr Aleksandrovich
15 Ryabov, Pavel Evgen’evich
14 Jovanović, Božidar Žarko
12 Tsyganov, Andreĭ Vladimirovich
10 Butler, Leo T.
10 Oshemkov, Andreĭ Aleksandrovich
9 Dullin, Holger R.
9 Maslov, Viktor Pavlovich
9 Shafarevich, Andreĭ Igorevich
8 Kudryavtseva, Elena A.
8 Sokolov, Sergeĭ Viktorovich
7 Konyaev, Andreĭ Yu.
7 Kozlov, Valeriĭ Vasil’evich
7 Nguyen Tien Zung
7 Vedyushkina, Viktoriya Viktorovna
6 Dragović, Vladimir
6 Fedorov, Yuri N.
6 Kharlamov, Mikhail P.
6 Kruglikov, Boris S.
6 Miranda, Eva
5 Bonnard, Bernard
5 Fokicheva, Victoria V.
5 Gajić, Borislav
5 Hohloch, Sonja
5 Izosimov, Anton
5 Rosemann, Stefan
5 Veselov, Alexander Petrovich
4 Efstathiou, Konstantinos
4 García-Naranjo, Luis C.
4 Kazakov, Alexey O.
4 Kozlov, Ivan Konstantinovich
4 Liu, Fei
4 Maksymenko, Sergiĭ Ivanovych
4 Nikolaenko, Stanislav S.
4 Pivovarova, Elena Nikolaevna
4 Radnović, Milena
4 Sardanashvily, Gennadi A.
4 Shirokov, Igor’ Viktorovich
4 Tarama, Daisuke
4 Vollmer, Andreas
4 Yakimova, Oksana S.
4 Zot’ev, D. B.
3 Agapov, Sergei Vadimovich
3 Akbarzadeh, Rasoul
3 Benenti, Sergio
3 Bialy, Misha
3 Brüning, Jochen
3 Caillau, Jean-Baptiste
3 Caşu, Ioan
3 Charbonnel, Jean-Yves
3 Dobrogowska, Alina
3 Giacobbe, Andrea
3 Haghighatdoost, Ghorbanali
3 Izosimov, A. M.
3 Joseph, Anthony
3 Kantonistova, Elena O.
3 Kibkalo, V. A.
3 Kiosak, Volodymyr Anatolyevich
3 Lăzureanu, Cristian
3 Magazev, Alexey Anatolevich
3 Manno, Gianni
3 Martínez-Alfaro, José
3 Meza-Sarmiento, Ingrid S.
3 Molev, Alexander I.
3 Montaldi, James A.
3 Oliveira, Regilene D. S.
3 Ooms, Alfons I.
3 Panasyuk, Andriy
3 Paternain, Gabriel Pedro
3 Pelayo, Alvaro
3 Pryshlyak, Oleksandr Olegovych
3 Rastelli, Giovanni
3 Ratiu, Tudor Stefan
3 Rezaei-Aghdam, Adel
3 Rom-Kedar, Vered
3 Santoprete, Manuele
3 Schöbel, Konrad P.
3 Sepe, Daniele
3 Valent, Galliano
3 Vũ Ngọc, San
3 Waters, Thomas J.
3 Zhang, Xiang
2 Abedi-Fardad, Jafar
2 Bartsch, Thomas J.
2 Basak, Inna
2 Broer, Henk W.
2 Castilho, César
2 Chen, Cheng
2 Combot, Thierry
2 Crooks, Peter
2 Davison, Chris M.
2 Derkach, M. M.
2 Dobrokhotov, Sergei Yurievich
2 Fedoseev, Denis A.
...and 330 more Authors
all top 5

Cited in 122 Serials

86 Regular and Chaotic Dynamics
37 Journal of Geometry and Physics
32 Moscow University Mathematics Bulletin
20 Mathematical Notes
20 Journal of Mathematical Sciences (New York)
16 Journal of Mathematical Physics
15 Communications in Mathematical Physics
14 Theoretical and Mathematical Physics
14 Doklady Mathematics
10 Russian Journal of Mathematical Physics
10 Sbornik: Mathematics
9 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
8 Letters in Mathematical Physics
8 Journal of Algebra
8 Mathematische Zeitschrift
7 Physica D
7 Differential Geometry and its Applications
6 Discrete and Continuous Dynamical Systems
6 Transformation Groups
6 Lobachevskii Journal of Mathematics
6 Journal of Nonlinear Mathematical Physics
6 Journal of Geometric Mechanics
5 Annales de l’Institut Fourier
5 Topology and its Applications
5 International Journal of Geometric Methods in Modern Physics
5 Nelineĭnaya Dinamika
4 Nonlinearity
4 Advances in Mathematics
4 Siberian Mathematical Journal
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Qualitative Theory of Dynamical Systems
4 Chebyshevskiĭ Sbornik
4 Proceedings of the Steklov Institute of Mathematics
3 Archive for Rational Mechanics and Analysis
3 Mathematische Annalen
3 Transactions of the American Mathematical Society
3 Journal of Nonlinear Science
3 Bulletin des Sciences Mathématiques
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Central European Journal of Mathematics
2 Journal of Applied Mathematics and Mechanics
2 Physics Letters. A
2 Russian Mathematical Surveys
2 Ukrainian Mathematical Journal
2 Compositio Mathematica
2 Functional Analysis and its Applications
2 Journal of Differential Equations
2 Journal of the Mathematical Society of Japan
2 Ergodic Theory and Dynamical Systems
2 Acta Applicandae Mathematicae
2 Annals of Global Analysis and Geometry
2 Geometric and Functional Analysis. GAFA
2 Annals of Physics
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Indagationes Mathematicae. New Series
2 Russian Mathematics
2 Mathematical Physics, Analysis and Geometry
2 Acta Mathematica Sinica. English Series
2 Journal of Dynamical and Control Systems
2 Proceedings of the International Geometry Center
2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 International Journal of Modern Physics A
1 International Journal of Theoretical Physics
1 Journal of Mathematical Analysis and Applications
1 Journal of Statistical Physics
1 Mathematical Biosciences
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Reports on Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Mathematics of Computation
1 Reviews in Mathematical Physics
1 Chaos, Solitons and Fractals
1 Prikladnaya Matematika i Mekhanika
1 Acta Mathematica Vietnamica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Duke Mathematical Journal
1 Geometriae Dedicata
1 Hiroshima Mathematical Journal
1 Inventiones Mathematicae
1 Journal of Differential Geometry
1 Journal of Functional Analysis
1 Journal für die Reine und Angewandte Mathematik
1 Manuscripta Mathematica
1 Monatshefte für Mathematik
1 Osaka Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Quarterly of Applied Mathematics
1 Tohoku Mathematical Journal. Second Series
1 Bulletin of the Iranian Mathematical Society
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Discrete & Computational Geometry
1 Applied Mathematics Letters
1 Science in China. Series A
1 The Journal of Geometric Analysis
1 SIAM Journal on Applied Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 Celestial Mechanics and Dynamical Astronomy
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 Journal of Knot Theory and its Ramifications
1 Topological Methods in Nonlinear Analysis
...and 22 more Serials
all top 5

Cited in 42 Fields

343 Dynamical systems and ergodic theory (37-XX)
225 Mechanics of particles and systems (70-XX)
185 Differential geometry (53-XX)
48 Nonassociative rings and algebras (17-XX)
32 Quantum theory (81-XX)
31 Global analysis, analysis on manifolds (58-XX)
26 Manifolds and cell complexes (57-XX)
25 Partial differential equations (35-XX)
25 Fluid mechanics (76-XX)
23 Ordinary differential equations (34-XX)
18 Algebraic geometry (14-XX)
9 Topological groups, Lie groups (22-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
8 Statistical mechanics, structure of matter (82-XX)
6 Special functions (33-XX)
6 Relativity and gravitational theory (83-XX)
5 Combinatorics (05-XX)
5 Group theory and generalizations (20-XX)
5 Algebraic topology (55-XX)
5 Optics, electromagnetic theory (78-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Functions of a complex variable (30-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Systems theory; control (93-XX)
3 General and overarching topics; collections (00-XX)
3 Associative rings and algebras (16-XX)
3 Operator theory (47-XX)
2 Commutative algebra (13-XX)
2 Mechanics of deformable solids (74-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Number theory (11-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)
1 Functional analysis (46-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Numerical analysis (65-XX)
1 Computer science (68-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year