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Vinogradov, Aleksandr Mikhaĭlovich

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Author ID: vinogradov.aleksandr-mikhailovich Recent zbMATH articles by "Vinogradov, Aleksandr Mikhaĭlovich"
Published as: Vinogradov, A. M.; Vinogradov, Alexandre M.; Vinogradov, Alexandre; Vinogradov, A.; Vinogradov, Alexandre Mikhaĭlovich
Further Spellings: Vinogradov, Alexandre Mikhailovich; Виноградов Александр Михайлович
Homepage: https://diffiety.mccme.ru/curvita/amv.htm
External Links: MGP · Wikidata · Math-Net.Ru · GND
Member of Collective: Nestruev, Jet
Documents Indexed: 91 Publications since 1958, including 4 Books
10 Contributions as Editor
1 Further Contribution
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

81 Publications have been cited 991 times in 586 Documents Cited by Year
Nonlocal trends in the geometry of differential equations: Symmetries, conservation laws, and Bäcklund transformations. Zbl 0692.35003
Krasil’shchik, I. S.; Vinogradov, A. M.
96
1989
Geometry of jet spaces and nonlinear partial differential equations. Transl. from the Russian by A. B. Sosinskij. Zbl 0722.35001
Krasil’shchik, I. S.; Lychagin, V. V.; Vinogradov, A. M.
81
1986
Local symmetries and conservation laws. Zbl 0534.58005
Vinogradov, A. M.
67
1984
Nonlocal symmetries and the theory of coverings: An addendum to A. M. Vinogradov’s ’Local Symmetries and Conservation Laws’. Zbl 0547.58043
Krasil’shchik, I. S.; Vinogradov, A. M.
54
1984
The \({\mathcal C}\)-spectral sequence, Lagrangian formalism, and conservation laws. II: The nonlinear theory. Zbl 0548.58015
Vinogradov, A. M.
53
1984
The \({\mathcal C}\)-spectral sequence, Lagrangian formalism, and conservation laws. I: The linear theory. Zbl 0548.58014
Vinogradov, A. M.
48
1984
Symmetries and conservation laws for differential equations of mathematical physics. Transl. from the Russian by A. M. Verbovetsky and I. S. Krasil’shchik. Zbl 0911.00032
Bocharov, A. V.; Chetverikov, V. N.; Duzhin, S. V.; Khor’kova, N. G.; Samokhin, A. V.; Torkhov, Yu. N.; Verbovetsky, A. M.
42
1999
A spectral sequence associated with a nonlinear differential equation, and algebro-geometric foundations of Lagrangian field theory with constraints. Zbl 0406.58015
Vinogradov, A. M.
31
1978
The local structure of \(n\)-Poisson and \(n\)-Jacobi manifolds. Zbl 0978.53126
Marmo, G.; Vilasi, G.; Vinogradov, A. M.
29
1998
On the algebro-geometric foundations of Lagrangian field theory. Zbl 0403.58005
Vinogradov, A. M.
29
1977
Introduction to the geometry of nonlinear differential equations. (Vvedenie v geometriyu nelinejnykh differentsial’nykh uravnenij). Zbl 0592.35002
Vinogradov, A. M.; Krasil’shchik, I. S.; Lychagin, V. V.
28
1986
The logic algebra for the theory of linear differential operators. Zbl 0267.58013
Vinogradov, A. M.
25
1972
Extensions of the Poisson bracket to differential forms and multi-vector fields. Zbl 0748.58008
Cabras, A.; Vinogradov, A. M.
23
1992
Symmetries and conservation laws of partial differential equations: Basic notions and results. Zbl 0692.35002
Vinogradov, A. M.
23
1989
The structures of Hamiltonian mechanics. Zbl 0383.70020
Vinogradov, A. M.; Kupershmidt, B. A.
22
1977
Cohomological analysis of partial differential equations and secondary calculus. Transl. from the original Russian manuscript by Joseph Krasil’shchik. Zbl 1152.58308
Vinogradov, A. M.
21
2001
Geometry of nonlinear differential equations. Zbl 0475.58025
Vinogradov, A. M.
20
1981
Basic ideas and concepts of differential geometry. Zbl 0735.53001
Alekseev, D. V.; Vinogradov, A. M.; Lychagin, V. V.
17
1988
On multiple generalizations of Lie algebras and Poisson manifolds. Zbl 1074.17501
Vinogradov, Alexandre; Vinogradov, Michael
16
1998
Combination of Schouten and Nijenhuis brackets, cohomologies and superdifferential operators. Zbl 0712.58059
Vinogradov, A. M.
16
1990
Basic ideas and notions from differential geometry. Zbl 0675.53001
Alekseevskij, D. V.; Vinogradov, A. M.; Lychagin, V. V.
15
1988
What is the Hamiltonian formalism? Zbl 0327.70006
Vinogradov, A. M.; Krasil’shchik, I. S.
12
1975
\(n\)-ary Lie and associative algebras. Zbl 0928.17029
Michor, P. W.; Vinogradov, A. M.
11
1996
Algebraic topology. (Algebraicheskaya topologiya.) Übersetzung aus dem Englischen von B. M. Pranova. Herausgegeben von A. M. Vinogradov. Zbl 0222.55001
Spanier, Edwin H.
11
1971
Multivalued solutions and a principle of classification of nonlinear differential equations. Zbl 0306.35003
Vinogradov, A. M.
11
1973
Vacuum Einstein metrics with bidimensional Killing leaves. II: Global aspects. Zbl 1035.53099
Sparano, G.; Vilasi, G.; Vinogradov, A. M.
10
2002
On the structure of Hamiltonian operators in field theory. Zbl 0611.58051
Astashov, A. M.; Vinogradov, A. M.
10
1986
Vacuum Einstein metrics with bidimensional Killing leaves. I: Local aspects. Zbl 1033.53021
Sparano, G.; Vilasi, G.; Vinogradov, A. M.
9
2002
A method of computing higher symmetries of nonlinear evolution equations, and nonlocal symmetries. Zbl 0498.35076
Vinogradov, A. M.; Krasil’shchik, I. S.
8
1980
Scalar differential invariants, diffieties and characteristic classes. Zbl 0735.57012
Vinogradov, A. M.
7
1991
Introduction to secondary calculus. Zbl 0931.58021
Vinogradov, Alexandre
7
1998
Gravitational fields with a non-Abelian, bidimensional Lie algebra of symmetries. Zbl 0969.83525
Sparano, G.; Vilasi, G.; Vinogradov, A. M.
6
2001
Symmetries and conservation laws of 2-dimensional ideal plasticity. Zbl 0623.73041
Senashov, S. J.; Vinogradov, A. M.
6
1988
Graded multiple analogs of Lie algebras. Zbl 1020.17003
Vinogradov, A. M.; Vinogradov, M. M.
6
2002
Eikonal type equations for geometrical singularities of solutions in field theory. Zbl 0819.58038
Lizzi, F.; Marmo, G.; Sparano, G.; Vinogradov, A. M.
5
1994
Green formula and Legendre transformation. Zbl 1065.58009
Alonso-Blanco, Ricardo J.; Vinogradov, Alexandre M.
5
2004
Hamiltonian theory of constrained impulsive motion. Zbl 1111.70013
Cortés, Jorge; Vinogradov, Alexandre M.
5
2006
Differential invariants of generic hyperbolic Monge-Ampère equations. Zbl 1129.58015
Marvan, Michal; Vinogradov, Alexandre M.; Yumaguzhin, Valery A.
5
2007
On the geometry of singular Lagrangians. Zbl 0984.37062
Pugliese, F.; Vinogradov, A. M.
4
2000
Symmetries of partial differential equations. Conservation laws - applications - algorithms. Transl. from the Russian. Reprinted from Acta Applicandae Mathematicae 15, Nos. 1-2 and 16, Nos. 1-2 (1989). Zbl 0684.35002
4
1989
From symmetries of partial differential equations towards secondary (“quantized”) calculus. Zbl 0815.58028
Vinogradov, A. M.
4
1994
The theory of higher infinitesimal symmetries of nonlinear partial differential equations. Zbl 0445.58030
Vinogradov, A. M.
4
1979
Some homology systems associated with the differential calculus in commutative algebras. Zbl 0476.58028
Vinogradov, A. M.
4
1979
Some variations on the notion of connection. Zbl 0817.53015
Modugno, M.; Vinogradov, A. M.
4
1994
Ricci flat 4-metrics with bidimensional null orbits. Zbl 1110.53015
Catalano Ferraioli, D.; Vinogradov, A. M.
4
2006
Iterated differential forms: tensors. Zbl 1327.58001
Vinogradov, A. M.; Vitagliano, L.
4
2006
Symmetries and conservation laws of Kadomtsev-Pogutse equations (Their computation and first applications). Zbl 0692.35087
Gusyatnikova, V. N.; Samokhin, A. V.; Titov, V. S.; Vinogradov, A. M.; Yumaguzhin, V. A.
4
1989
Secondary differential operators. Zbl 0601.35007
Gusyatnikova, V. N.; Vinogradov, A. M.; Yumaguzhin, V. A.
4
1985
On the theory of nonlocal symmetries of nonlinear partial differential equations. Zbl 0604.58053
Vinogradov, A. M.; Krasil’shchik, I. S.
4
1984
Differential invariants of webs on two-dimensional manifolds. Zbl 0714.53019
Vinogradov, A. M.; Yumaguzhin, V. A.
4
1990
Domains in infinite jet spaces: \({\mathcal C}\)-spectral sequences. Zbl 1154.58002
Vinogradov, A. M.; Moreno, Giovanni
3
2007
Particle-like structure of coaxial Lie algebras. Zbl 1422.17009
Vinogradov, A. M.
3
2018
Fat manifolds and linear connections. Zbl 1167.53001
De Paris, Alessandro; Vinogradov, Alexandre
3
2009
Particle-like structure of Lie algebras. Zbl 1422.17008
Vinogradov, A. M.
3
2017
Rational approximations to irrational numbers with bounded partial quotients. Zbl 0080.26502
Vinogradov, A.; Delone, B.; Fuchs, D.
3
1958
Über den Zusammenhang zwischen den Lagrangeschen Klassen der Irrationalitäten mit begrenzten Teilnennern und den Markoffschen Klassen der extremen Formen. Zbl 0103.03304
Delaunay, B. N.; Vinogradov, A. M.
3
1959
Scalar differential invariants and characteristic classes of homogeneous geometrical structures. Zbl 0814.57019
Verbovetskij, A. M.; Vinogradov, A. M.; Gessler, D. M.
2
1992
Hamilton structures in field theory. Zbl 0421.70026
Vinogradov, A. M.
2
1978
Iterated differential forms. III: Integral calculus. Zbl 1154.58304
Vinogradov, A. M.; Vitagliano, L.
2
2007
Iterated differential forms: Riemannian geometry revisited. Zbl 1327.58002
Vinogradov, A. M.; Vitagliano, L.
2
2006
Category of nonlinear differential equations. Zbl 0547.58005
Vinogradov, A. M.
2
1984
Scalar differential invariants of symplectic Monge-Ampère equations. Zbl 1252.58022
De Paris, Alessandro; Vinogradov, Alexandre M.
2
2011
Geometric singularities of solutions of nonlinear partial differential equations. Zbl 0631.58027
Vinogradov, A. M.
2
1987
On Adam’s spectral sequence. Zbl 0097.16101
Vinogradov, A. M.
2
1960
Some homotopic properties of the space of imbeddings of a circle into a sphere or a ball. Zbl 0145.43903
Vinogradov, A. M.
2
1964
Geometry of inelastic collisions. Zbl 1192.70020
Pugliese, F.; Vinogradov, A. M.
2
2002
On higher order analogues of de Rham cohomology. Zbl 1051.13012
Vezzosi, Gabriele; Vinogradov, Alexandre M.
1
2003
The structures of Hamiltonian mechanics. Zbl 0461.35077
Vinogradov, A. M.; Kupershmidt, B. A.
1
1981
What is the Hamiltonian formalism? Zbl 0461.35078
Vinogradov, A. M.; Krasil’shchik, I. S.
1
1981
Geometry of non-linear differential equations. Zbl 0461.58012
Vinogradov, A. M.
1
1980
Gewisse homologische Systeme, die mit der Differentialrechnung in kommutativen Algebren zusammenhaengen. Zbl 0475.58024
Vinogradov, A. M.
1
1979
On geometry of second-order parabolic equations in two independent variables. Zbl 1227.35186
Vinogradov, A. M.
1
2008
Differential invariants of generic hyperbolic Monge-Ampère equations. Zbl 1133.35407
Vinogradov, A. M.; Marvan, Michal; Yumaguzhin, V. A.
1
2005
The category of differential equations and its significance for physics. Zbl 0558.35060
Vinogradov, A. M.
1
1984
Symmetries of partial differential equations. Conservation laws - applications - algorithms. Part 1. Zbl 0667.00013
1
1989
Symmetries of partial differential equations. Conservation laws - applications - algorithms. Part III. Zbl 0678.00015
1
1989
Infinitesimal Stokes’s formula for higher-order de Rham complexes. Zbl 0965.58003
Vezzosi, Gabriele; Vinogradov, Alexandre M.
1
1997
Secondary calculus and cohomological physics. Proceedings of a conference, Moscow, Russia, August 24–31, 1997. Zbl 0895.00065
1
1998
The generalized Smith conjecture in four dimensions. Zbl 0243.55004
Vinogradov, A. M.; Kusel’man, M. S.
1
1972
Differential invariants of generic parabolic Monge-Ampère equations. Zbl 1245.53017
Catalano Ferraioli, D.; Vinogradov, A. M.
1
2012
Logic of differential calculus and the zoo of geometric structures. Zbl 1380.58004
Vinogradov, Alexandre M.
1
2016
Particle-like structure of coaxial Lie algebras. Zbl 1422.17009
Vinogradov, A. M.
3
2018
Particle-like structure of Lie algebras. Zbl 1422.17008
Vinogradov, A. M.
3
2017
Logic of differential calculus and the zoo of geometric structures. Zbl 1380.58004
Vinogradov, Alexandre M.
1
2016
Differential invariants of generic parabolic Monge-Ampère equations. Zbl 1245.53017
Catalano Ferraioli, D.; Vinogradov, A. M.
1
2012
Scalar differential invariants of symplectic Monge-Ampère equations. Zbl 1252.58022
De Paris, Alessandro; Vinogradov, Alexandre M.
2
2011
Fat manifolds and linear connections. Zbl 1167.53001
De Paris, Alessandro; Vinogradov, Alexandre
3
2009
On geometry of second-order parabolic equations in two independent variables. Zbl 1227.35186
Vinogradov, A. M.
1
2008
Differential invariants of generic hyperbolic Monge-Ampère equations. Zbl 1129.58015
Marvan, Michal; Vinogradov, Alexandre M.; Yumaguzhin, Valery A.
5
2007
Domains in infinite jet spaces: \({\mathcal C}\)-spectral sequences. Zbl 1154.58002
Vinogradov, A. M.; Moreno, Giovanni
3
2007
Iterated differential forms. III: Integral calculus. Zbl 1154.58304
Vinogradov, A. M.; Vitagliano, L.
2
2007
Hamiltonian theory of constrained impulsive motion. Zbl 1111.70013
Cortés, Jorge; Vinogradov, Alexandre M.
5
2006
Ricci flat 4-metrics with bidimensional null orbits. Zbl 1110.53015
Catalano Ferraioli, D.; Vinogradov, A. M.
4
2006
Iterated differential forms: tensors. Zbl 1327.58001
Vinogradov, A. M.; Vitagliano, L.
4
2006
Iterated differential forms: Riemannian geometry revisited. Zbl 1327.58002
Vinogradov, A. M.; Vitagliano, L.
2
2006
Differential invariants of generic hyperbolic Monge-Ampère equations. Zbl 1133.35407
Vinogradov, A. M.; Marvan, Michal; Yumaguzhin, V. A.
1
2005
Green formula and Legendre transformation. Zbl 1065.58009
Alonso-Blanco, Ricardo J.; Vinogradov, Alexandre M.
5
2004
On higher order analogues of de Rham cohomology. Zbl 1051.13012
Vezzosi, Gabriele; Vinogradov, Alexandre M.
1
2003
Vacuum Einstein metrics with bidimensional Killing leaves. II: Global aspects. Zbl 1035.53099
Sparano, G.; Vilasi, G.; Vinogradov, A. M.
10
2002
Vacuum Einstein metrics with bidimensional Killing leaves. I: Local aspects. Zbl 1033.53021
Sparano, G.; Vilasi, G.; Vinogradov, A. M.
9
2002
Graded multiple analogs of Lie algebras. Zbl 1020.17003
Vinogradov, A. M.; Vinogradov, M. M.
6
2002
Geometry of inelastic collisions. Zbl 1192.70020
Pugliese, F.; Vinogradov, A. M.
2
2002
Cohomological analysis of partial differential equations and secondary calculus. Transl. from the original Russian manuscript by Joseph Krasil’shchik. Zbl 1152.58308
Vinogradov, A. M.
21
2001
Gravitational fields with a non-Abelian, bidimensional Lie algebra of symmetries. Zbl 0969.83525
Sparano, G.; Vilasi, G.; Vinogradov, A. M.
6
2001
On the geometry of singular Lagrangians. Zbl 0984.37062
Pugliese, F.; Vinogradov, A. M.
4
2000
Symmetries and conservation laws for differential equations of mathematical physics. Transl. from the Russian by A. M. Verbovetsky and I. S. Krasil’shchik. Zbl 0911.00032
Bocharov, A. V.; Chetverikov, V. N.; Duzhin, S. V.; Khor’kova, N. G.; Samokhin, A. V.; Torkhov, Yu. N.; Verbovetsky, A. M.
42
1999
The local structure of \(n\)-Poisson and \(n\)-Jacobi manifolds. Zbl 0978.53126
Marmo, G.; Vilasi, G.; Vinogradov, A. M.
29
1998
On multiple generalizations of Lie algebras and Poisson manifolds. Zbl 1074.17501
Vinogradov, Alexandre; Vinogradov, Michael
16
1998
Introduction to secondary calculus. Zbl 0931.58021
Vinogradov, Alexandre
7
1998
Secondary calculus and cohomological physics. Proceedings of a conference, Moscow, Russia, August 24–31, 1997. Zbl 0895.00065
1
1998
Infinitesimal Stokes’s formula for higher-order de Rham complexes. Zbl 0965.58003
Vezzosi, Gabriele; Vinogradov, Alexandre M.
1
1997
\(n\)-ary Lie and associative algebras. Zbl 0928.17029
Michor, P. W.; Vinogradov, A. M.
11
1996
Eikonal type equations for geometrical singularities of solutions in field theory. Zbl 0819.58038
Lizzi, F.; Marmo, G.; Sparano, G.; Vinogradov, A. M.
5
1994
From symmetries of partial differential equations towards secondary (“quantized”) calculus. Zbl 0815.58028
Vinogradov, A. M.
4
1994
Some variations on the notion of connection. Zbl 0817.53015
Modugno, M.; Vinogradov, A. M.
4
1994
Extensions of the Poisson bracket to differential forms and multi-vector fields. Zbl 0748.58008
Cabras, A.; Vinogradov, A. M.
23
1992
Scalar differential invariants and characteristic classes of homogeneous geometrical structures. Zbl 0814.57019
Verbovetskij, A. M.; Vinogradov, A. M.; Gessler, D. M.
2
1992
Scalar differential invariants, diffieties and characteristic classes. Zbl 0735.57012
Vinogradov, A. M.
7
1991
Combination of Schouten and Nijenhuis brackets, cohomologies and superdifferential operators. Zbl 0712.58059
Vinogradov, A. M.
16
1990
Differential invariants of webs on two-dimensional manifolds. Zbl 0714.53019
Vinogradov, A. M.; Yumaguzhin, V. A.
4
1990
Nonlocal trends in the geometry of differential equations: Symmetries, conservation laws, and Bäcklund transformations. Zbl 0692.35003
Krasil’shchik, I. S.; Vinogradov, A. M.
96
1989
Symmetries and conservation laws of partial differential equations: Basic notions and results. Zbl 0692.35002
Vinogradov, A. M.
23
1989
Symmetries of partial differential equations. Conservation laws - applications - algorithms. Transl. from the Russian. Reprinted from Acta Applicandae Mathematicae 15, Nos. 1-2 and 16, Nos. 1-2 (1989). Zbl 0684.35002
4
1989
Symmetries and conservation laws of Kadomtsev-Pogutse equations (Their computation and first applications). Zbl 0692.35087
Gusyatnikova, V. N.; Samokhin, A. V.; Titov, V. S.; Vinogradov, A. M.; Yumaguzhin, V. A.
4
1989
Symmetries of partial differential equations. Conservation laws - applications - algorithms. Part 1. Zbl 0667.00013
1
1989
Symmetries of partial differential equations. Conservation laws - applications - algorithms. Part III. Zbl 0678.00015
1
1989
Basic ideas and concepts of differential geometry. Zbl 0735.53001
Alekseev, D. V.; Vinogradov, A. M.; Lychagin, V. V.
17
1988
Basic ideas and notions from differential geometry. Zbl 0675.53001
Alekseevskij, D. V.; Vinogradov, A. M.; Lychagin, V. V.
15
1988
Symmetries and conservation laws of 2-dimensional ideal plasticity. Zbl 0623.73041
Senashov, S. J.; Vinogradov, A. M.
6
1988
Geometric singularities of solutions of nonlinear partial differential equations. Zbl 0631.58027
Vinogradov, A. M.
2
1987
Geometry of jet spaces and nonlinear partial differential equations. Transl. from the Russian by A. B. Sosinskij. Zbl 0722.35001
Krasil’shchik, I. S.; Lychagin, V. V.; Vinogradov, A. M.
81
1986
Introduction to the geometry of nonlinear differential equations. (Vvedenie v geometriyu nelinejnykh differentsial’nykh uravnenij). Zbl 0592.35002
Vinogradov, A. M.; Krasil’shchik, I. S.; Lychagin, V. V.
28
1986
On the structure of Hamiltonian operators in field theory. Zbl 0611.58051
Astashov, A. M.; Vinogradov, A. M.
10
1986
Secondary differential operators. Zbl 0601.35007
Gusyatnikova, V. N.; Vinogradov, A. M.; Yumaguzhin, V. A.
4
1985
Local symmetries and conservation laws. Zbl 0534.58005
Vinogradov, A. M.
67
1984
Nonlocal symmetries and the theory of coverings: An addendum to A. M. Vinogradov’s ’Local Symmetries and Conservation Laws’. Zbl 0547.58043
Krasil’shchik, I. S.; Vinogradov, A. M.
54
1984
The \({\mathcal C}\)-spectral sequence, Lagrangian formalism, and conservation laws. II: The nonlinear theory. Zbl 0548.58015
Vinogradov, A. M.
53
1984
The \({\mathcal C}\)-spectral sequence, Lagrangian formalism, and conservation laws. I: The linear theory. Zbl 0548.58014
Vinogradov, A. M.
48
1984
On the theory of nonlocal symmetries of nonlinear partial differential equations. Zbl 0604.58053
Vinogradov, A. M.; Krasil’shchik, I. S.
4
1984
Category of nonlinear differential equations. Zbl 0547.58005
Vinogradov, A. M.
2
1984
The category of differential equations and its significance for physics. Zbl 0558.35060
Vinogradov, A. M.
1
1984
Geometry of nonlinear differential equations. Zbl 0475.58025
Vinogradov, A. M.
20
1981
The structures of Hamiltonian mechanics. Zbl 0461.35077
Vinogradov, A. M.; Kupershmidt, B. A.
1
1981
What is the Hamiltonian formalism? Zbl 0461.35078
Vinogradov, A. M.; Krasil’shchik, I. S.
1
1981
A method of computing higher symmetries of nonlinear evolution equations, and nonlocal symmetries. Zbl 0498.35076
Vinogradov, A. M.; Krasil’shchik, I. S.
8
1980
Geometry of non-linear differential equations. Zbl 0461.58012
Vinogradov, A. M.
1
1980
The theory of higher infinitesimal symmetries of nonlinear partial differential equations. Zbl 0445.58030
Vinogradov, A. M.
4
1979
Some homology systems associated with the differential calculus in commutative algebras. Zbl 0476.58028
Vinogradov, A. M.
4
1979
Gewisse homologische Systeme, die mit der Differentialrechnung in kommutativen Algebren zusammenhaengen. Zbl 0475.58024
Vinogradov, A. M.
1
1979
A spectral sequence associated with a nonlinear differential equation, and algebro-geometric foundations of Lagrangian field theory with constraints. Zbl 0406.58015
Vinogradov, A. M.
31
1978
Hamilton structures in field theory. Zbl 0421.70026
Vinogradov, A. M.
2
1978
On the algebro-geometric foundations of Lagrangian field theory. Zbl 0403.58005
Vinogradov, A. M.
29
1977
The structures of Hamiltonian mechanics. Zbl 0383.70020
Vinogradov, A. M.; Kupershmidt, B. A.
22
1977
What is the Hamiltonian formalism? Zbl 0327.70006
Vinogradov, A. M.; Krasil’shchik, I. S.
12
1975
Multivalued solutions and a principle of classification of nonlinear differential equations. Zbl 0306.35003
Vinogradov, A. M.
11
1973
The logic algebra for the theory of linear differential operators. Zbl 0267.58013
Vinogradov, A. M.
25
1972
The generalized Smith conjecture in four dimensions. Zbl 0243.55004
Vinogradov, A. M.; Kusel’man, M. S.
1
1972
Algebraic topology. (Algebraicheskaya topologiya.) Übersetzung aus dem Englischen von B. M. Pranova. Herausgegeben von A. M. Vinogradov. Zbl 0222.55001
Spanier, Edwin H.
11
1971
Some homotopic properties of the space of imbeddings of a circle into a sphere or a ball. Zbl 0145.43903
Vinogradov, A. M.
2
1964
On Adam’s spectral sequence. Zbl 0097.16101
Vinogradov, A. M.
2
1960
Über den Zusammenhang zwischen den Lagrangeschen Klassen der Irrationalitäten mit begrenzten Teilnennern und den Markoffschen Klassen der extremen Formen. Zbl 0103.03304
Delaunay, B. N.; Vinogradov, A. M.
3
1959
Rational approximations to irrational numbers with bounded partial quotients. Zbl 0080.26502
Vinogradov, A.; Delone, B.; Fuchs, D.
3
1958
all top 5

Cited by 526 Authors

35 Vinogradov, Aleksandr Mikhaĭlovich
26 Krasil’shchik, Iosif Semënovich
25 Morozov, Oleg I.
20 Lychagin, Valentin V.
16 Vitolo, Raffaele F.
14 Vitagliano, Luca
13 Manno, Gianni
13 Yumaguzhin, Valeriy A.
12 Kruglikov, Boris S.
12 Popovych, Roman O.
11 Bibikov, Pavel Vitalievich
11 Chetverikov, Vladimir N.
11 Verbovetsky, Alexander Moiseevich
9 Marvan, Michal
9 Palese, Marcella
8 Bruzón, Maria Santos
8 Gandarias Núñez, Maria Luz
8 Moreno, Giovanni
8 Vilasi, Gaetano
7 Muñoz Masqué, Jaime
7 Rossi, Olga
7 Vojčák, Petr
6 Bai, Ruipu
6 Igonin, Sergeĭ Aleksandrovich
6 Kersten, Paul H. M.
6 Khor’kova, Nina Grigor’evna
6 Sergyeyev, Artur
6 Sparano, Giovanni
6 Winterroth, Ekkehart
6 Zharinov, Victor Victorovich
5 Baran, Hynek
5 Gaeta, Giuseppe
5 Kac, Victor G.
5 Kaptsov, Oleg Viktorovich
5 Marsden, Jerrold Eldon
5 Morando, Paola
5 Ratiu, Tudor Stefan
5 Saunders, David J.
4 Anderson, Ian M.
4 Bluman, George W.
4 Catalano Ferraioli, Diego
4 Chen, Junchao
4 Chen, Yong
4 Duyunova, Anna Andreevna
4 Grigoriev, Maxim
4 Guha, Partha
4 Gusyatnikova, V. N.
4 Kara, Abdul Hamid
4 Kosmann-Schwarzbach, Yvette
4 Lévine, Jean
4 Mahomed, Fazal M.
4 Prástaro, Agostino
4 Reyes, Enrique G.
4 Sardanashvily, Gennadi A.
4 Stasheff, James D.
4 Tychkov, Sergey N.
3 Anco, Stephen C.
3 Barnich, Glenn
3 Bihlo, Alexander
3 Canarutto, Daniel
3 Cariñena, José F.
3 Castrillón López, Marco
3 Chen, Zhiqi
3 Cheviakov, Alexei F.
3 Chrastinová, Veronika
3 Cieśliński, Jan L.
3 De Sole, Alberto
3 Druzhkov, K. P.
3 Finley, James Daniel III
3 Fliess, Michel
3 Freire, Igor Leite
3 Grabowski, Janusz
3 Kiselev, Arthemy V.
3 Krishchenko, Alexander P.
3 Krupka, Demeter
3 Kushner, Alexei G.
3 Marmo, Giuseppe
3 Martin, Philippe
3 Monterde, Juan
3 Musilová, Jana
3 Oliveri, Francesco
3 Ollivier, François
3 Opanasenko, Stanislav
3 Pavlov, Maxim V.
3 Pugliese, Fabrizio
3 Rosenhaus, Vladimir
3 Rouchon, Pierre
3 Rubtsov, Vladimir Nikolaevich
3 Saccomandi, Giuseppe
3 Sahadevan, Ramajayam
3 Samokhin, Alexey V.
3 Sharapov, Alexey A.
3 Tryhuk, Václav
3 Voronov, Theodore
3 Weinstein, Alan David
3 Xin, Xiangpeng
2 Alonso-Blanco, Ricardo J.
2 An, Hongwei
2 Astashov, Aleksandr Mikhaĭlovich
2 Bächtold, Michael Johannes
...and 426 more Authors
all top 5

Cited in 136 Serials

78 Journal of Geometry and Physics
48 Journal of Mathematical Physics
47 Acta Applicandae Mathematicae
39 Differential Geometry and its Applications
24 Mathematical Notes
24 Theoretical and Mathematical Physics
19 Journal of Nonlinear Mathematical Physics
15 International Journal of Geometric Methods in Modern Physics
13 Journal of Mathematical Analysis and Applications
13 Lobachevskii Journal of Mathematics
10 Doklady Mathematics
9 Journal of Mathematical Sciences (New York)
8 Letters in Mathematical Physics
7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
6 Reports on Mathematical Physics
6 Journal of Soviet Mathematics
5 Communications in Nonlinear Science and Numerical Simulation
4 Communications in Mathematical Physics
4 Physics Letters. A
4 Annales de l’Institut Fourier
4 Journal of Differential Equations
4 Journal of Pure and Applied Algebra
4 Physica D
4 Applied Mathematics Letters
4 Linear Algebra and its Applications
4 Russian Mathematics
4 Abstract and Applied Analysis
4 Differential Equations
4 Central European Journal of Mathematics
4 Journal of Siberian Federal University. Mathematics & Physics
3 Nuclear Physics. B
3 Physics Reports
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Applied Mathematics and Computation
3 Czechoslovak Mathematical Journal
3 Duke Mathematical Journal
3 Functional Analysis and its Applications
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Nonlinear Dynamics
3 Annales Henri Poincaré
3 Nonlinear Analysis. Real World Applications
3 Journal of Geometric Mechanics
3 Analysis and Mathematical Physics
3 Communications in Mathematics
2 International Journal of Modern Physics A
2 Computer Physics Communications
2 International Journal of Theoretical Physics
2 Reviews in Mathematical Physics
2 Advances in Mathematics
2 Mathematica Slovaca
2 Transactions of the American Mathematical Society
2 Systems & Control Letters
2 Chinese Annals of Mathematics. Series B
2 Journal of Symbolic Computation
2 Mathematical and Computer Modelling
2 European Journal of Applied Mathematics
2 Applied Mathematical Modelling
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Annales de l’Institut Henri Poincaré. Physique Théorique
2 Russian Journal of Mathematical Physics
2 Discrete and Continuous Dynamical Systems
2 Fractional Calculus & Applied Analysis
2 Communications in Contemporary Mathematics
2 Journal of High Energy Physics
2 Advances in Geometry
2 Frontiers of Mathematics in China
2 Journal of Homotopy and Related Structures
1 Modern Physics Letters A
1 Archive for History of Exact Sciences
1 Bulletin of the Australian Mathematical Society
1 Communications in Algebra
1 International Journal of Engineering Science
1 Mathematical Methods in the Applied Sciences
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Physics Letters. B
1 Rocky Mountain Journal of Mathematics
1 Russian Mathematical Surveys
1 Ukrainian Mathematical Journal
1 Chaos, Solitons and Fractals
1 Acta Arithmetica
1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Automatica
1 Demonstratio Mathematica
1 Geometriae Dedicata
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Computational and Applied Mathematics
1 Journal of Number Theory
1 Mathematische Zeitschrift
1 Monatshefte für Mathematik
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Programming and Computer Software
1 Rendiconti del Seminario Matematico della Università di Padova
1 Siberian Mathematical Journal
1 Tokyo Journal of Mathematics
1 Advances in Applied Mathematics
1 Applied Mathematics and Mechanics. (English Edition)
1 Annals of Global Analysis and Geometry
...and 36 more Serials
all top 5

Cited in 48 Fields

245 Partial differential equations (35-XX)
209 Global analysis, analysis on manifolds (58-XX)
143 Dynamical systems and ergodic theory (37-XX)
127 Differential geometry (53-XX)
88 Mechanics of particles and systems (70-XX)
65 Nonassociative rings and algebras (17-XX)
43 Ordinary differential equations (34-XX)
37 Quantum theory (81-XX)
31 Fluid mechanics (76-XX)
19 Associative rings and algebras (16-XX)
19 Topological groups, Lie groups (22-XX)
19 Relativity and gravitational theory (83-XX)
17 Algebraic topology (55-XX)
13 Commutative algebra (13-XX)
13 Calculus of variations and optimal control; optimization (49-XX)
13 Manifolds and cell complexes (57-XX)
13 Mechanics of deformable solids (74-XX)
11 Number theory (11-XX)
10 Algebraic geometry (14-XX)
10 Category theory; homological algebra (18-XX)
10 Computer science (68-XX)
9 Systems theory; control (93-XX)
7 Operator theory (47-XX)
5 Numerical analysis (65-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Optics, electromagnetic theory (78-XX)
3 History and biography (01-XX)
3 Combinatorics (05-XX)
3 Field theory and polynomials (12-XX)
3 Difference and functional equations (39-XX)
3 Biology and other natural sciences (92-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Functional analysis (46-XX)
2 Geometry (51-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Group theory and generalizations (20-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Special functions (33-XX)
1 Approximations and expansions (41-XX)
1 Integral equations (45-XX)
1 Convex and discrete geometry (52-XX)
1 Probability theory and stochastic processes (60-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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