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Fomenko, Anatoliĭ Timofeevich

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Author ID: fomenko.anatolii-t Recent zbMATH articles by "Fomenko, Anatoliĭ Timofeevich"
Published as: Fomenko, A. T.; Fomenko, Anatoly T.; Fomenko, Anatolij T.; Fomenko, A.; Fomenko, Anatolii T.; Fomenko, Anatoliĭ T.; Fomenko, Anatoly
Further Spellings: Фоменко Анатолий Тимофеевич
Homepage: http://www.anatoly-fomenko.com/
External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef
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Co-Authors

87 single-authored
27 Bolsinov, Alexey V.
17 Mishchenko, Aleksandr Sergeevich
17 Novikov, Sergeĭ Petrovich
15 Trofimov, Valeriĭ Vladimirovich
12 Vedyushkina, Viktoriya Viktorovna
10 Nosovskij, G. V.
9 Dubrovin, Boris Anatol’evich
9 Matveev, Sergeĭ Vladimirovich
6 Tuzhilin, Alexey Avgustinovich
5 Kalashnikov, Vladimir Vyacheslavovich
5 Kozlov, Valeriĭ Vasil’evich
5 Zieschang, Heiner
4 Fuchs, Dmitry Borisovich
4 Goldberg, Vladislav V.
4 Solov’ëv, Yuriĭ Petrovich
4 Volodin, I. A.
3 Chacon, Rafael V. S.
3 Dào Trọng Thi
3 Kibkalo, Vladislav A.
3 Kirichenko, Vadim Fëdorovich
3 Konyaev, Andreĭ Yu.
3 Kudryavtseva, Elena A.
3 Manturov, Oleg V.
3 Sharko, Volodymyr Vasil’ovych
3 Shelekhov, Alexander M.
2 Anosov, Dmitriĭ Viktorovich
2 Aptekarev, Alexander Ivanovich
2 Arkhipov, Gennadiĭ Ivanovich
2 Bakhvalov, Nikolai Sergeevich
2 Bokan, Neda
2 Bolibrukh, Andreĭ Andreevich
2 Brailov, A. V.
2 Bukhshtaber, Viktor Matveevich
2 Chernavskiĭ, Alekseĭ Viktorovich
2 Chubarikov, Vladimir Nikolaevich
2 Djorić, Mirjana
2 Fokicheva, Victoria V.
2 Gonchar, Andreĭ Aleksandrovich
2 Ivanov, Aleksandr Olegovich
2 Kashin, Boris Sergeevich
2 Kharcheva, Irina S.
2 Kuznetsov, V. E.
2 Maslov, Viktor Pavlovich
2 Morozov, Pavel V.
2 Nesterenko, Yuriĭ Valentinovich
2 Nguyen Tien Zung
2 Nikol’skiĭ, Sergeĭ Mikhaĭlovich
2 Nikonov, Igor Mikhailovich
2 Prokhorov, Yuriĭ Vasil’evich
2 Rakić, Zoran
2 Sabinin, Lev Vasil’evich
2 Sadovnichiĭ, Viktor Antonovich
2 Ul’yanov, Pëtr Lavrent’evich
2 Wess, Julius
2 Zhang, Xingru
1 Akivis, Maks A.
1 Aldoshin, S. M.
1 Avdeev, F. S.
1 Blagodatskikh, Viktor Ivanovich
1 Bliznyakov, Nikolay Myhaylovich
1 Borodin, Petr A.
1 Brailov, Yury A.
1 Brodsky, Boris
1 Chakon, R. V.
1 Chernyi, Gorimir Gorimirovich
1 Chirskiĭ, Vladimir Grigor’evich
1 Dao Chong, Tkhi
1 Darkhovsky, Boris S.
1 Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich
1 Dynnikov, Ivan Alekseevich
1 Emel’yanov, Stanislav Vasil’evich
1 Faddeev, Lyudvig Dmitrievich
1 Federer, Herbert
1 Fedoseev, Denis A.
1 Fomenko, T. G.
1 Fomenko, V. P.
1 Fominykh, Evgeny Anatol’evich
1 Friedman, Yaakov
1 Gashkov, Sergey B.
1 Gliklikh, Yuriĭ Evgen’evich
1 Grigorchuk, Rostislav Ivanovich
1 Grigor’ev, A. I.
1 Gutenmacher, V. L.
1 Gutenmaher, V. L.
1 Igoshin, V. A.
1 Il’in, Vladimir Aleksandrovich
1 Il’yushin, Alekseĭ Antonovich
1 Ishlinskiĭ, Aleksandr Yul’evich
1 Iskovskikh, Vasiliĭ Alekseevich
1 Ivanov, L. D.
1 Kalyagin, Valery A.
1 Kantonistova, Elena O.
1 Karatsuba, Anatoliĭ Alekseevich
1 Kellin, N. S.
1 Kirpichnikov, M. P.
1 Koblitz, Ann
1 Koblitz, Neal I.
1 Korovin, Sergeĭ Konstantinovich
1 Koval’chuk, M. V.
1 Kunii, Tosiyasu L.
...and 54 more Co-Authors
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Serials

19 Russian Mathematical Surveys
15 Soviet Mathematics. Doklady
15 Trudy Seminara po Vektornomu i Tenzornomu Analizu
9 Mathematics of the USSR. Izvestiya
8 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
7 Journal of Mathematical Sciences (New York)
7 Doklady Mathematics
6 Functional Analysis and its Applications
5 Journal of Soviet Mathematics
5 Graduate Texts in Mathematics
4 Moscow University Mathematics Bulletin
4 Uspekhi Matematicheskikh Nauk [N. S.]
4 Mathematics of the USSR, Sbornik
4 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika
4 Russian Journal of Mathematical Physics
3 Mathematical Notes
3 Selecta Mathematica Sovietica
3 Acta Applicandae Mathematicae
3 Sbornik: Mathematics
3 Izvestiya: Mathematics
3 Mathematics and Its Applications. Soviet Series
2 Matematicheskie Zametki
2 Advances in Mathematics
2 Funktsional’nyĭ Analiz i ego Prilozheniya
2 Matematicheskiĭ Sbornik. Novaya Seriya
2 Russian Academy of Sciences. Sbornik. Mathematics
2 Russian Academy of Sciences. Doklady. Mathematics
2 Advances in Soviet Mathematics
2 Advanced Studies in Contemporary Mathematics (New York)
2 Translations of Mathematical Monographs
2 Translations. Series 2. American Mathematical Society
1 Computers & Mathematics with Applications
1 Ukrainian Mathematical Journal
1 Journal of Geometry and Physics
1 International Statistical Review
1 Transactions of the Moscow Mathematical Society
1 Topology and its Applications
1 Comptes Rendus Mathématiques de l’Académie des Sciences
1 Annals of Global Analysis and Geometry
1 Pokroky Matematiky, Fyziky & Astronomie
1 Matematicheskie Voprosy Kibernetiki
1 Trudy Geometricheskogo Seminara
1 Istoriko-Matematicheskie Issledovaniya. Vtoraya Seriya
1 International Journal of Shape Modeling
1 Reviews in Mathematics and Mathematical Physics
1 Issledovanie Operatsiĭ i ASU
1 Differential Equations
1 Theoretical and Applied Mechanics
1 Mathematics and its Applications (Dordrecht)
1 Semiotika i Informatika
1 Journal of Generalized Lie Theory and Applications
1 Journal of Fixed Point Theory and Applications

Publications by Year

Citations contained in zbMATH Open

171 Publications have been cited 2,189 times in 1,275 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.
124
2004
Modern geometry - methods and applications. Part I. The geometry of surfaces, transformation groups, and fields. Transl. by Robert G. Burns. 2nd ed. Zbl 0751.53001
Dubrovin, B. A.; Fomenko, A. T.; Novikov, S. P.
76
1992
Modern geometry - methods and applications. Part I: The geometry of surfaces, transformation groups, and fields. Transl. from the Russian by Robert G. Burns. Zbl 0529.53002
Dubrovin, B. A.; Fomenko, A. T.; Novikov, S. P.
70
1984
Modern geometry - methods and applications. Part 2: The geometry and topology of manifolds. Transl. from the Russian by Robert G. Burns. Zbl 0565.57001
Dubrovin, B. A.; Fomenko, A. T.; Novikov, S. P.
67
1985
Integrable Hamiltonian systems. Geometry, topology, classification. Vol. 1, 2. (Integriruemye gamil’tonovy sistemy. Geometriya, topologiya, klassifikatsiya. Tom 1, 2.) Zbl 1053.37518
Bolsinov, A. V.; Fomenko, A. T.
63
1999
Generalized Liouville method of integration of Hamiltonian systems. Zbl 0405.58028
Mishchenko, A. S.; Fomenko, A. T.
59
1978
Euler equations on finite-dimensional Lie groups. Zbl 0383.58006
Mishchenko, A. S.; Fomenko, A. T.
54
1978
Modern geometry. Methods and applications. Textbook. (Sovremennaya geometriya. Metody i prilozheniya. Uchebnoe posobie). 2nd ed., rev. Zbl 0601.53001
Dubrovin, B. A.; Novikov, S. P.; Fomenko, A. T.
51
1986
The index of elliptic operators over \(C^*\)-algebras. Zbl 0416.46052
Mishchenko, A. S.; Fomenko, A. T.
43
1979
Euler equations on finite-dimensional Lie groups. Zbl 0405.58031
Mishchenko, A. S.; Fomenko, A. T.
42
1978
Algebra and geometry of integrable Hamiltonian differential equations. (Алгебра и геометрия интегрируемых гамильтоновых дифференциальных уравнений.) Zbl 0858.58026
Trofimov, V. V.; Fomenko, A. T.
41
1995
Integrability and nonintegrability in geometry and mechanics. Transl. from the Russian by M. V. Tsaplina. Zbl 0675.58018
Fomenko, A. T.
39
1988
Topological invariant and a criterion for equivalence of integrable Hamiltonian systems with two degrees of freedom. Zbl 0705.58023
Fomenko, A. T.; Zieschang, H.
34
1990
A course in homotopic topology. Textbook. (Курс гомотопическоĭ топологии. Учебное пособие.) Zbl 0675.55001
Fomenko, A. T.; Fuks, D. B.
34
1989
Modern geometry - methods and applications. Part III. Introduction to homology theory. Transl. from the Russian by Robert G. Burns. Zbl 0703.55001
Dubrovin, B. A.; Fomenko, A. T.; Novikov, S. P.
33
1990
A topological invariant and a criterion for equivalence of integrable Hamiltonian systems with two degrees of freedom. Zbl 0723.58024
Fomenko, A. T.; Zieschang, H.
31
1991
Maximally symmetric cell decompositions of surfaces and their coverings. Zbl 1163.37018
Kudryavtseva, E. A.; Nikonov, I. M.; Fomenko, A. T.
30
2008
Constant energy surfaces of Hamiltonian systems, enumeration of three- dimensional manifolds in increasing order of complexity, and computation of volumes of closed hyperbolic manifolds. Zbl 0671.58008
Matveev, S. V.; Fomenko, A. T.
29
1988
Integrable billiards model important integrable cases of rigid body dynamics. Zbl 1335.37040
Fokicheva, V. V.; Fomenko, A. T.
29
2015
The problem of discriminating algorithmically the standard three- dimensional sphere. Zbl 0311.57001
Volodin, I. A.; Kuznetsov, V. E.; Fomenko, A. T.
29
1974
Topology of surfaces of constant energy of integrable Hamiltonian systems and barriers to integrability. Zbl 0619.58023
Fomenko, A. T.
28
1986
A course in differential geometry and topology. Textbook. (Kurs differentsial’noj geometrii i topologii. Uchebnik). Zbl 0524.53001
Mishchenko, A. S.; Fomenko, A. T.
28
1980
Algorithmic and computer methods for three-manifolds. Transl. from the Russian by M. Tsaplina and M. Hazewinkel. Zbl 0885.57009
Fomenko, A. T.; Matveev, S. V.
28
1997
Integrable topological billiards and equivalent dynamical systems. Zbl 1380.37078
Vedyushkina, Viktoriya V.; Fomenko, Anatoly T.
28
2017
The method of loop molecules and the topology of the Kovalevskaya top. Zbl 0983.37068
Bolsinov, A. V.; Richter, P. H.; Fomenko, A. T.
27
2000
The symplectic topology of completely integrable Hamiltonian systems. Zbl 0694.58012
Fomenko, A. T.
27
1989
Two-dimensional Riemannian metrics with integrable geodesic flows. Local and global geometry. Zbl 0917.58031
Bolsinov, A. V.; Matveev, V. S.; Fomenko, A. T.
27
1998
Morse theory of integrable Hamiltonian systems. Zbl 0623.58009
Fomenko, A. T.
26
1986
New approach to symmetries and singularities in integrable Hamiltonian systems. Zbl 1248.37050
Fomenko, A. T.; Konyaev, A. Yu.
26
2012
Modern geometry. (Современная геометрия.) Zbl 0433.53001
Dubrovin, B. A.; Novikov, S. P.; Fomenko, A. T.
26
1980
The topology of surfaces of constant energy in integrable Hamiltonian systems, and obstructions to integrability. Zbl 0649.58019
Fomenko, A. T.
24
1987
Introduction to the topology of integrable Hamiltonian systems. (Vvedenie v topologiyu integriruemykh gamil’tonovykh sistem.) Zbl 0908.58026
Bolsinov, A. V.; Fomenko, A. T.
24
1997
Topological invariants of Liouville integrable Hamiltonian systems. Zbl 0697.58021
Fomenko, A. T.
24
1988
The index of elliptic operators over \(C^*\)-algebras. Zbl 0448.46039
Mishchenko, A. S.; Fomenko, A. T.
23
1980
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.
22
1995
Symmetries groups of nice Morse functions on surfaces. Zbl 1295.58013
Kudryavtseva, E. A.; Fomenko, A. T.
22
2012
Symplectic topology of completely integrable Hamiltonian systems. Zbl 0677.58023
Fomenko, A. T.
21
1989
Symplectic geometry. Methods and applications. (Simplekticheskaya geometriya. Metody i prilozheniya.) Zbl 0751.53002
Fomenko, A. T.
21
1988
Algebra and geometry through Hamiltonian systems. Zbl 1362.70023
Fomenko, Anatoly T.; Konyaev, Andrei
21
2014
Geometric measure theory. Translated from the English by S. P. Baĭborodov, L. D. Ivanov and V. V. Trofimov. Translation edited by A. G. Vitushkin. With complements by L. D. Ivanov and A. T. Fomenko. (Геометрическая теория меры.) Zbl 0634.49001
Federer, H.
20
1987
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
On typical topological properties of integrable Hamiltonian systems. Zbl 0647.58018
Fomenko, A. T.; Zieschang, H.
19
1988
Topological classification of all integrable Hamiltonian differential equations of general type with two degrees of freedom. Zbl 0753.58014
Fomenko, A. T.
19
1991
Non-invariant symplectic group structures and Hamiltonian flows on symmetric spaces. Zbl 0659.58018
Trofimov, V. V.; Fomenko, A. T.
16
1988
On typical topological properties of integrable Hamiltonian systems. Zbl 0667.58014
Fomenko, A. T.; Zieschang, H.
16
1989
On the topology of the three-dimensional manifolds arising in Hamiltonian mechanics. Zbl 0734.57014
Fomenko, A. T.; Zieschang, H.
16
1987
Symplectic geometry. 2nd ed. Zbl 0873.58031
Fomenko, A. T.
16
1995
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
Homotopic topology. (Transl. from the Russian by K. Mályusz). Zbl 0615.55001
Fomenko, A. T.; Fuks, D. B.; Gutenmacher, V. L.
15
1986
The theory of invariants of multidimensional integrable Hamiltonian systems (with arbitrary many degrees of freedom). Molecular table of all integrable systems with two degrees of freedom. Zbl 0746.58036
Fomenko, A. T.
15
1991
The integrability of the Euler equations on semi-simple Lie algebras. Zbl 0452.58015
Mishchenko, A. S.; Fomenko, A. T.
15
1979
Modeling nondegenerate bifurcations of closures of solutions for integrable systems with two degrees of freedom by integrable topological billiards. Zbl 1394.37088
Vedyushkina, V. V.; Fomenko, A. T.; Kharcheva, Irina S.
15
2018
Integrable geodesic flows on two-dimensional surfaces. Zbl 1042.37042
Bolsinov, A. V.; Fomenko, A. T.
15
2000
Liouville integrability of Hamiltonian systems on Lie algebras. Zbl 0549.58024
Trofimov, V. V.; Fomenko, A. T.
14
1984
The Chaplygin case in dynamics of a rigid body in fluid is orbitally equivalent to the Euler case in rigid body dynamics and to the Jacobi problem about geodesics on the ellipsoid. Zbl 1358.37097
Fomenko, A. T.; Nikolaenko, S. S.
13
2015
A generalized Liouville method for the integration of Hamiltonian systems. (Eine verallgemeinerte Liouvillesche Methode zur Integration Hamiltonscher Systeme.) Zbl 0396.58003
Mishchenko, A. S.; Fomenko, A. T.
13
1978
Differential geometry and topology. Complemented chapters. (Differentsial’naya geometriya i topologiya. Dopolnitel’nye glavy). Zbl 0517.53001
Fomenko, A. T.
13
1983
Variational methods in topology. (Вариационные методы в топологии.) Zbl 0526.58012
Fomenko, A. T.
13
1982
Modern geometry. Methods of homology theory. (Современная геометрия. Методы теории гомологий.) Zbl 0582.55001
Dubrovin, B. A.; Novikov, S. P.; Fomenko, A. T.
12
1984
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.
12
1995
Billiard systems as the models for the rigid body dynamics. Zbl 1362.70005
Fokicheva, Victoria V.; Fomenko, Anatoly T.
12
2016
Integrable geodesic flows on orientable two-dimensional surfaces and topological billiards. Zbl 1436.37068
Vedyushkina, Viktoriya V.; Fomenko, Anatoliĭ T.
12
2019
Differential geometry and topology. Transl. from Russian by D. A. Leites. Zbl 0643.53003
Fomenko, A. T.
11
1987
A topological invariant which roughly classifies integrable strictly nondegenerate Hamiltonians on four-dimensional symplectic manifolds. Zbl 0778.58023
Fomenko, A. T.
11
1991
Elements of the geometry and topology of minimal surfaces in three-dimensional space. Transl. from the Russian by E. J. F. Primrose. Transl. ed. by Simeon Ivanov. Zbl 0745.53001
Fomenko, A. T.; Tuzhilin, A. A.
11
1991
Algorithmic and computer methods in three-dimensional topology. (Алгоритмические и комп’ютерные методы в трехмерной топологии.) Zbl 0748.57005
Matveev, S. V.; Fomenko, A. T.
10
1991
On the integration of the Euler equations on semisimple Lie algebras. Zbl 0392.58001
Mishchenko, A. S.; Fomenko, A. T.
10
1976
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
Billiards and integrability in geometry and physics. New scope and new potential. Zbl 1429.37030
Fomenko, A. T.; Vedyushkina, V. V.
10
2019
Geometric and algebraic mechanisms of the integrability of Hamiltonian systems on homogeneous spaces and Lie algebras. Zbl 0797.58006
Trofimov, V. V.; Fomenko, A. T.
9
1994
Recursion formulas for the Lie integral. Zbl 0743.58007
Chacon, R. V.; Fomenko, A. T.
9
1991
Topological modeling for visualization. Zbl 1120.37300
Fomenko, A. T.; Kunii, T. L.
9
1997
The integration of Hamiltonian systems with non-commutative symmetries. Zbl 0473.58015
Mishchenko, A. S.; Fomenko, A. T.
9
1981
Minimal surfaces and the Plateau problem. (Minimal’nye poverkhnosti i problema Plato). Zbl 0617.53001
Dao Chong Tkhi; Fomenko, A. T.
8
1987
A bordism theory for integrable nondegenerate Hamiltonian systems with two degrees of freedom. A new topological invariant of higher-dimensional integrable systems. Zbl 0783.58035
Fomenko, A. T.
8
1991
Integrability of Euler equations on semisimple Lie algebras. Zbl 0517.58024
Mishchenko, A. S.; Fomenko, A. T.
8
1982
The topology of integral submanifolds of completely integrable Hamiltonian systems. Zbl 0667.58022
Brailov, A. V.; Fomenko, A. T.
7
1989
Bordism theory of integrable nondegenerate Hamiltonian systems with two degrees of freedom. A new topological invariant of multi-dimensional integrable systems. Zbl 0746.58037
Fomenko, A. T.
7
1991
Dynamical systems on the orbits of linear representations of Lie groups and the complete integrability of certain hydrodynamical systems. Zbl 0521.58031
Trofimov, V. V.; Fomenko, A. T.
7
1983
Homotopical topology. Translated from the Russian. 2nd edition. Zbl 1346.55001
Fomenko, Anatoly; Fuchs, Dmitry
7
2016
Minimal compacta in Riemannian manifolds and Reifenberg’s conjecture. Zbl 0282.49040
Fomenko, A. T.
7
1973
Round Morse functions and isoenergy surfaces of integrable Hamiltonian systems. Zbl 0673.58023
Matveev, S. V.; Fomenko, A. T.; Sharko, V. V.
6
1989
Elements of differential geometry and topology. Textbook. (Ehlementy differentsial’noj geometrii i topologii. Uchebnoe posobie). Zbl 0628.53002
Novikov, S. P.; Fomenko, A. T.
6
1987
Orbital equivalence of integrable Hamiltonian systems with two degrees of freedom. A classification theorem. II. Zbl 0868.58026
Bolsinov, A. V.; Fomenko, A. T.
6
1994
Morse-type theory for integrable Hamiltonian systems with tame integrals. Zbl 0694.58019
Matveev, S. V.; Fomenko, A. T.
6
1988
Variational principles in topology. Multidimensional minimal surface theory. Transl. from the Russian by O. Efimov. Rev. translation. Zbl 0697.49044
Fomenko, A. T.
6
1990
Implementation of integrable systems by topological, geodesic billiards with potential and magnetic field. Zbl 1459.37044
Fomenko, A. T.; Vedyushkina, V. V.
6
2019
A Morse type theory for integrable Hamiltonian systems with tame integrals. Zbl 0671.58017
Matveev, S. V.; Fomenko, A. T.
5
1988
Topological variational problems. (Топологические вариационные задачи.) Zbl 0679.49001
Fomenko, A. T.
5
1984
Each finite group is the symmetry group of some map (an “atom”-bifurcation). Zbl 1298.37040
Fomenko, A. T.; Kudryavtseva, E. A.
5
2013
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
Variational problems in topology. The geometry of length, area and volume. Transl. from the Russian. Zbl 0716.53004
Fomenko, A. T.
5
1990
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
Some new results in topological classification of integrable systems in rigid body dynamics. Zbl 1066.37037
Fomenko, A. T.; Morozov, P. V.
5
2004
A method for constructing Hamiltonian flows on symmetric spaces and the integrability of some hydrodynamical systems. Zbl 0484.58017
Trofimov, V. V.; Fomenko, A. T.
5
1980
Topological methods in the theory of integrable systems. Zbl 1142.37001
Bolsinov, A. V.; Fomenko, A. T.; Oshemkov, A. A.
4
2006
Topological classification of integrable non-degenerate Hamiltonians on a constant energy three-dimensional sphere. Zbl 0721.58022
Nguyen Tien Zung; Fomenko, A. T.
4
1990
Stokes’ formula for Lie algebra valued connection and curvature forms. Zbl 0741.53021
Chacon, R. V.; Fomenko, A. T.
4
1991
Minimal surfaces, stratified multivarifolds, and the Plateau problem. Transl. from the Russian by E. J. F. Primrose. Transl. ed. by Ben Silver. Zbl 0716.53003
Dào Trong Thi; Fomenko, A. T.
4
1987
Topological classification of integrable systems. Transl. ed. by A. B. Sossinsky. Zbl 0741.00026
4
1991
Liouville foliations of topological billiards with slipping. Zbl 1469.37045
Fomenko, A. T.; Vedyushkina, V. V.; Zav’yalov, V. N.
2
2021
Saddle singularities in integrable Hamiltonian systems: examples and algorithms. Zbl 1484.37064
Fomenko, Anatoly T.; Kibkalo, Vladislav A.
1
2021
Topological modeling of integrable systems by billiards: realization of numerical invariants. Zbl 07424607
Vedyushkina, V. V.; Kibkalo, V. A.; Fomenko, A. T.
1
2020
Noncompact bifurcations of integrable dynamic systems. Zbl 1451.37082
Fedoseev, D. A.; Fomenko, A. T.
1
2020
Integrable geodesic flows on orientable two-dimensional surfaces and topological billiards. Zbl 1436.37068
Vedyushkina, Viktoriya V.; Fomenko, Anatoliĭ T.
12
2019
Billiards and integrability in geometry and physics. New scope and new potential. Zbl 1429.37030
Fomenko, A. T.; Vedyushkina, V. V.
10
2019
Implementation of integrable systems by topological, geodesic billiards with potential and magnetic field. Zbl 1459.37044
Fomenko, A. T.; Vedyushkina, V. V.
6
2019
Reducing the degree of integrals of Hamiltonian systems by using billiards. Zbl 1423.37055
Vedyushkina, V. V.; Fomenko, A. T.
4
2019
Topological billiards, conservation laws and classification of trajectories. Zbl 1426.37047
Fomenko, A. T.; Vedyushkina, V. V.
3
2019
Topological obstacles to the realizability of integrable Hamiltonian systems by billiards. Zbl 1439.37056
Vedyushkina, V. V.; Fomenko, A. T.
1
2019
Singularities of integrable Liouville systems, reduction of integrals to lower degree and topological billiards: recent results. Zbl 1474.37058
Fomenko, A. T.; Vedyushkina, V. V.
1
2019
Modeling nondegenerate bifurcations of closures of solutions for integrable systems with two degrees of freedom by integrable topological billiards. Zbl 1394.37088
Vedyushkina, V. V.; Fomenko, A. T.; Kharcheva, Irina S.
15
2018
Integrable topological billiards and equivalent dynamical systems. Zbl 1380.37078
Vedyushkina, Viktoriya V.; Fomenko, Anatoly T.
28
2017
Billiard systems as the models for the rigid body dynamics. Zbl 1362.70005
Fokicheva, Victoria V.; Fomenko, Anatoly T.
12
2016
Homotopical topology. Translated from the Russian. 2nd edition. Zbl 1346.55001
Fomenko, Anatoly; Fuchs, Dmitry
7
2016
Integrable billiards model important integrable cases of rigid body dynamics. Zbl 1335.37040
Fokicheva, V. V.; Fomenko, A. T.
29
2015
The Chaplygin case in dynamics of a rigid body in fluid is orbitally equivalent to the Euler case in rigid body dynamics and to the Jacobi problem about geodesics on the ellipsoid. Zbl 1358.37097
Fomenko, A. T.; Nikolaenko, S. S.
13
2015
Topological classification of geodesic flows on revolution 2-surfaces with potential. Zbl 1335.53109
Fomenko, A. T.; Kantonistova, E. O.
4
2015
Algebra and geometry through Hamiltonian systems. Zbl 1362.70023
Fomenko, Anatoly T.; Konyaev, Andrei
21
2014
Each finite group is the symmetry group of some map (an “atom”-bifurcation). Zbl 1298.37040
Fomenko, A. T.; Kudryavtseva, E. A.
5
2013
Selected problems in differential geometry and topology. Transl. from the Russian. Zbl 1282.53001
Fomenko, A. T.; Mishchenko, A. S.; Solovyev, Yu. P.
1
2013
New approach to symmetries and singularities in integrable Hamiltonian systems. Zbl 1248.37050
Fomenko, A. T.; Konyaev, A. Yu.
26
2012
Symmetries groups of nice Morse functions on surfaces. Zbl 1295.58013
Kudryavtseva, E. A.; Fomenko, A. T.
22
2012
Hidden symmetries in integrable dynamical systems. Zbl 1332.37038
Fomenko, A. T.
1
2012
Computer modeling of curves and surfaces. Zbl 1221.37055
Ivanov, A. O.; Tuzhilin, A. A.; Fomenko, A. T.
2
2011
Maximally symmetric cell decompositions of surfaces and their coverings. Zbl 1163.37018
Kudryavtseva, E. A.; Nikonov, I. M.; Fomenko, A. T.
30
2008
Topological methods in the theory of integrable systems. Zbl 1142.37001
Bolsinov, A. V.; Fomenko, A. T.; Oshemkov, A. A.
4
2006
Integrable Hamiltonian systems. Geometry, topology, classification. Translated from the 1999 Russian original. Zbl 1056.37075
Bolsinov, A. V.; Fomenko, A. T.
124
2004
Some new results in topological classification of integrable systems in rigid body dynamics. Zbl 1066.37037
Fomenko, A. T.; Morozov, P. V.
5
2004
Lie groups and integrable Hamiltonian systems. Zbl 1013.37047
Brailov, Yury A.; Fomenko, Anatoly T.
3
2002
Riemannian geometry. Zbl 1032.53029
Trofimov, V. V.; Fomenko, A. T.
1
2002
The method of loop molecules and the topology of the Kovalevskaya top. Zbl 0983.37068
Bolsinov, A. V.; Richter, P. H.; Fomenko, A. T.
27
2000
Integrable geodesic flows on two-dimensional surfaces. Zbl 1042.37042
Bolsinov, A. V.; Fomenko, A. T.
15
2000
Integrable Hamiltonian systems. Geometry, topology, classification. Vol. 1, 2. (Integriruemye gamil’tonovy sistemy. Geometriya, topologiya, klassifikatsiya. Tom 1, 2.) Zbl 1053.37518
Bolsinov, A. V.; Fomenko, A. T.
63
1999
Differential geometry and topology. Complemented chapters. 2nd revised ed. (Дифференциал’ная геометрия и топология. Дополнител’ные главы.) Zbl 0955.53001
Fomenko, A. T.
1
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.
27
1998
Algorithmic and computer methods in three-dimensional topology. 2nd ed., rev. and co. (Алгоритмические и комп’ютерные методы в трехмерной топологии.) Zbl 0906.57001
Matveev, S. V.; Fomenko, A. T.
4
1998
Orbital isomorphism between two classical integrable systems. Zbl 0904.58024
Bolsinov, A. V.; Fomenko, A. T.
3
1998
Tensor and vector analysis. Geometry, mechanics and physics. Zbl 0913.00022
1
1998
Algorithmic and computer methods for three-manifolds. Transl. from the Russian by M. Tsaplina and M. Hazewinkel. Zbl 0885.57009
Fomenko, A. T.; Matveev, S. V.
28
1997
Introduction to the topology of integrable Hamiltonian systems. (Vvedenie v topologiyu integriruemykh gamil’tonovykh sistem.) Zbl 0908.58026
Bolsinov, A. V.; Fomenko, A. T.
24
1997
Topological modeling for visualization. Zbl 1120.37300
Fomenko, A. T.; Kunii, T. L.
9
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
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
Methods for the mathematical analysis of historical texts. Applications to chronology. (Recognition and dating of dependent texts, statistical ancient chronology, and the statistics of ancient astronomical records). With a preface by A. N. Shiryaev. With appendices by S. T. Rachev, the author, N. S. Kellin, L. E. Morozova, B. E. Brodskii, B. S. Darkhovskii, G. V. Nosovskii, V. P. Fomenko and T. G. Fomenko. 2nd ed., compl. and rev. (Методы математического анализа исторических текстов. Приложения к хронологии. (Распознавание и датировка зависимых текстов, статистическая древняя хронология, статистика древних астрономических сообщений).) Zbl 0918.00006
Fomenko, A. T.
1
1996
Algebra and geometry of integrable Hamiltonian differential equations. (Алгебра и геометрия интегрируемых гамильтоновых дифференциальных уравнений.) Zbl 0858.58026
Trofimov, V. V.; Fomenko, A. T.
41
1995
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.
22
1995
Symplectic geometry. 2nd ed. Zbl 0873.58031
Fomenko, A. T.
16
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.
12
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.
1
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
Geometric and algebraic mechanisms of the integrability of Hamiltonian systems on homogeneous spaces and Lie algebras. Zbl 0797.58006
Trofimov, V. V.; Fomenko, A. T.
9
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.
6
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
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
Visual geometry and topology. Transl. from the Russian by M. V.Tsaplina. Zbl 0802.58001
Fomenko, Anatolij T.
2
1994
Minimal surfaces. Zbl 0777.00011
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
Orbital classification of simple integrable Hamiltonian systems on three- dimensional constant-energy surfaces. Zbl 0820.58017
Bolsinov, A. V.; Fomenko, A. T.
1
1993
Modern geometry - methods and applications. Part I. The geometry of surfaces, transformation groups, and fields. Transl. by Robert G. Burns. 2nd ed. Zbl 0751.53001
Dubrovin, B. A.; Fomenko, A. T.; Novikov, S. P.
76
1992
A topological invariant and a criterion for equivalence of integrable Hamiltonian systems with two degrees of freedom. Zbl 0723.58024
Fomenko, A. T.; Zieschang, H.
31
1991
Topological classification of all integrable Hamiltonian differential equations of general type with two degrees of freedom. Zbl 0753.58014
Fomenko, A. T.
19
1991
The theory of invariants of multidimensional integrable Hamiltonian systems (with arbitrary many degrees of freedom). Molecular table of all integrable systems with two degrees of freedom. Zbl 0746.58036
Fomenko, A. T.
15
1991
A topological invariant which roughly classifies integrable strictly nondegenerate Hamiltonians on four-dimensional symplectic manifolds. Zbl 0778.58023
Fomenko, A. T.
11
1991
Elements of the geometry and topology of minimal surfaces in three-dimensional space. Transl. from the Russian by E. J. F. Primrose. Transl. ed. by Simeon Ivanov. Zbl 0745.53001
Fomenko, A. T.; Tuzhilin, A. A.
11
1991
Algorithmic and computer methods in three-dimensional topology. (Алгоритмические и комп’ютерные методы в трехмерной топологии.) Zbl 0748.57005
Matveev, S. V.; Fomenko, A. T.
10
1991
Recursion formulas for the Lie integral. Zbl 0743.58007
Chacon, R. V.; Fomenko, A. T.
9
1991
A bordism theory for integrable nondegenerate Hamiltonian systems with two degrees of freedom. A new topological invariant of higher-dimensional integrable systems. Zbl 0783.58035
Fomenko, A. T.
8
1991
Bordism theory of integrable nondegenerate Hamiltonian systems with two degrees of freedom. A new topological invariant of multi-dimensional integrable systems. Zbl 0746.58037
Fomenko, A. T.
7
1991
Stokes’ formula for Lie algebra valued connection and curvature forms. Zbl 0741.53021
Chacon, R. V.; Fomenko, A. T.
4
1991
Topological classification of integrable systems. Transl. ed. by A. B. Sossinsky. Zbl 0741.00026
4
1991
A topological invariant roughly classifying integrable strict non- degenerate Hamiltonians on four-dimensional symplectic manifolds. Zbl 0746.58029
Fomenko, A. T.
3
1991
Topological classification of integrable nondegenerate Hamiltonians on the isoenergy three-dimensional sphere. Zbl 0744.58033
Fomenko, A. T.; Nguyen Tien Zung
3
1991
Theory of rough classification of integrable nondegenerate Hamiltonian differential equations on four-dimensional manifolds. Application to classical mechanics. Zbl 0744.58032
Fomenko, A. T.
2
1991
Statistical analysis of the star catalogue “Almagest”. Zbl 0731.01002
Kalashnikov, V. V.; Nosovskij, G. V.; Fomenko, A. T.
1
1991
Topological invariant and a criterion for equivalence of integrable Hamiltonian systems with two degrees of freedom. Zbl 0705.58023
Fomenko, A. T.; Zieschang, H.
34
1990
Modern geometry - methods and applications. Part III. Introduction to homology theory. Transl. from the Russian by Robert G. Burns. Zbl 0703.55001
Dubrovin, B. A.; Fomenko, A. T.; Novikov, S. P.
33
1990
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
Variational principles in topology. Multidimensional minimal surface theory. Transl. from the Russian by O. Efimov. Rev. translation. Zbl 0697.49044
Fomenko, A. T.
6
1990
Variational problems in topology. The geometry of length, area and volume. Transl. from the Russian. Zbl 0716.53004
Fomenko, A. T.
5
1990
Topological classification of integrable non-degenerate Hamiltonians on a constant energy three-dimensional sphere. Zbl 0721.58022
Nguyen Tien Zung; Fomenko, A. T.
4
1990
Basic elements of differential geometry and topology. Transl. from the Russian by M. V. Tsaplina. Zbl 0711.53001
Novikov, S. P.; Fomenko, A. T.
3
1990
Exact round Morse functions, inequalities of Morse type and integrals of Hamiltonian systems. Zbl 0732.58012
Fomenko, A. T.; Sharko, V. V.
1
1990
Statistical analysis and dating of the observations on which Ptolemy’s “Almagest” star catalogue is based. Zbl 0734.62111
Fomenko, A. T.; Kalashnikov, V. V.; Nosovskij, G. V.
1
1990
The Plateau problem. Part I: Historical survey. Part II: The present state of the theory. Transl. from the Russian by Oleg Efimov. Zbl 0729.53001
Fomenko, A. T.
1
1990
A course in homotopic topology. Textbook. (Курс гомотопическоĭ топологии. Учебное пособие.) Zbl 0675.55001
Fomenko, A. T.; Fuks, D. B.
34
1989
The symplectic topology of completely integrable Hamiltonian systems. Zbl 0694.58012
Fomenko, A. T.
27
1989
Symplectic topology of completely integrable Hamiltonian systems. Zbl 0677.58023
Fomenko, A. T.
21
1989
On typical topological properties of integrable Hamiltonian systems. Zbl 0667.58014
Fomenko, A. T.; Zieschang, H.
16
1989
The topology of integral submanifolds of completely integrable Hamiltonian systems. Zbl 0667.58022
Brailov, A. V.; Fomenko, A. T.
7
1989
Round Morse functions and isoenergy surfaces of integrable Hamiltonian systems. Zbl 0673.58023
Matveev, S. V.; Fomenko, A. T.; Sharko, V. V.
6
1989
Exact circular Morse functions, Morse-type inequalities and integrals of Hamiltonian systems. Zbl 0699.58024
Fomenko, A. T.; Sharko, V. V.
3
1989
When was Ptolemy’s star catalogue in ‘Almagest’ compiled in reality? Statistical analysis. Zbl 0696.01002
Fomenko, A. T.; Kalashnikov, V. V.; Nosovskij, G. V.
3
1989
Integrable systems on Lie algebras and symmetric spaces. Transl. from the Russian by A. Karaulov, P. D. Rayfield and A. Weisman. 2nd printing. Zbl 0742.58001
Fomenko, A. T.; Trofimov, V. V.
3
1989
Visual and hidden symmetry in geometry. Zbl 0714.53001
Fomenko, A. T.
1
1989
Integrability and nonintegrability in geometry and mechanics. Transl. from the Russian by M. V. Tsaplina. Zbl 0675.58018
Fomenko, A. T.
39
1988
Constant energy surfaces of Hamiltonian systems, enumeration of three- dimensional manifolds in increasing order of complexity, and computation of volumes of closed hyperbolic manifolds. Zbl 0671.58008
Matveev, S. V.; Fomenko, A. T.
29
1988
Topological invariants of Liouville integrable Hamiltonian systems. Zbl 0697.58021
Fomenko, A. T.
24
1988
Symplectic geometry. Methods and applications. (Simplekticheskaya geometriya. Metody i prilozheniya.) Zbl 0751.53002
Fomenko, A. T.
21
1988
...and 71 more Documents
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Cited by 1,382 Authors

43 Fomenko, Anatoliĭ Timofeevich
22 Bolsinov, Alexey V.
19 Vedyushkina, Viktoriya Viktorovna
14 Matveev, Vladimir S.
13 Kudryavtseva, Elena A.
12 Borisov, Alekseĭ Vladimirovich
12 Mamaev, Ivan Sergeevich
12 Ryabov, Pavel Evgen’evich
11 Shamolin, Maksim Vladimirovich
10 Nguyen Tien Zung
9 Futorny, Vyacheslav M.
8 Bloch, Anthony Michael
8 Cavicchioli, Alberto
8 Oshemkov, Andreĭ Aleksandrovich
8 Ratiu, Tudor Stefan
8 Shafarevich, Andreĭ Igorevich
8 Troitskiĭ, Evgeniĭ Vadimovich
7 Dragović, Vladimir
7 Dullin, Holger R.
7 Jovanović, Božidar Žarko
7 Kharlamov, Mikhail Pavlovich
7 Kibkalo, Vladislav A.
7 Konyaev, Andreĭ Yu.
6 Bonnard, Bernard
6 Efstathiou, Konstantinos
6 Fedoseev, Denis A.
6 Koreshkov, Nikolai A.
6 Kruglikov, Boris S.
6 Marsden, Jerrold Eldon
6 Martynchuk, Nikolay N.
6 Maslov, Viktor Pavlovich
6 Matveev, Sergeĭ Vladimirovich
6 Nabutovsky, Alexander
6 Vesnin, Andrei Yu.
5 Dobrogowska, Alina
5 Fassò, Francesco
5 Fokicheva, Victoria V.
5 Gajić, Borislav
5 Hohloch, Sonja
5 Ivanov, Aleksandr Olegovich
5 Ivković, Stefan
5 Krýsl, Svatopluk
5 Maksymenko, Sergiĭ Ivanovych
5 Petronio, Carlo
5 Pochinka, Olga Vital’evna
5 Ramirez, Luis Enrique
5 Rom-Kedar, Vered
5 Skopenkov, Arkadiĭ Borisovich
5 Spaggiari, Fulvia
5 Vakhnenko, Oleksiy O.
4 Bizyaev, Ivan Alekseevich
4 Dobrokhotov, Sergei Yurievich
4 Fatalov, Vadim Rolandovich
4 Giacobbe, Andrea
4 Grines, Vyacheslav Zigmundovich
4 Izosimov, Anton
4 Kharcheva, Irina S.
4 Kozlov, Valeriĭ Vasil’evich
4 Leonov, Gennadiĭ Alekseevich
4 Llibre, Jaume
4 Lott, John
4 Manturov, Vassiliĭ Olegovich
4 Manuĭlov, Vladimir Markovich
4 Mednykh, Aleksandr Dmitrievich
4 Miranda, Eva
4 Nikolaenko, Stanislav S.
4 Nikonov, Igor Mikhailovich
4 Pelayo, Alvaro
4 Popov, Sasho Ivanov
4 Pryshlyak, Oleksandr Olegovych
4 Radnović, Milena
4 Rosenberg, Jonathan Micah
4 Rybnikov, Leonid Grigor’evich
4 Sardanashvily, Gennadi A.
4 Sokolov, Sergeĭ Viktorovich
4 Tabachnikov, Serge L.
4 Trofimov, Valeriĭ Vladimirovich
4 Tsyganov, Andreĭ Vladimirovich
4 Tuzhilin, Alexey Avgustinovich
4 Tuzhilin, M. A.
4 Vakhrameev, S. A.
4 Vũ Ngọc, San
4 Yakimova, Oksana S.
4 Zagryadskiĭ, O. A.
4 Zhang, Xiang
4 Zhila, A. I.
4 Zot’ev, D. B.
3 Agapov, Sergei Vadimovich
3 Akbarzadeh, Rasoul
3 Alimov, Mars M.
3 Banaru, Mikhail Borisovich
3 Broer, Henk W.
3 Brüning, Jochen
3 Caillau, Jean-Baptiste
3 Fedorov, Yuri N.
3 Feĭgin, Boris L’vovich
3 Fordy, Allan P.
3 Galajinsky, Anton V.
3 Gout, Christian
3 Grillo, Sergio Daniel
...and 1,282 more Authors
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Cited in 278 Serials

82 Journal of Mathematical Sciences (New York)
56 Moscow University Mathematics Bulletin
49 Journal of Geometry and Physics
48 Regular and Chaotic Dynamics
40 Communications in Mathematical Physics
38 Mathematical Notes
35 Journal of Mathematical Physics
34 Theoretical and Mathematical Physics
21 Physica D
20 Topology and its Applications
19 Advances in Mathematics
19 Doklady Mathematics
18 Siberian Mathematical Journal
17 Functional Analysis and its Applications
17 Sbornik: Mathematics
15 Russian Mathematics
14 Journal of Soviet Mathematics
14 Russian Journal of Mathematical Physics
14 Proceedings of the Steklov Institute of Mathematics
13 Acta Applicandae Mathematicae
12 Journal of Mathematical Analysis and Applications
11 Letters in Mathematical Physics
11 Nuclear Physics. B
11 Transactions of the American Mathematical Society
11 Annals of Global Analysis and Geometry
10 Journal of Applied Mathematics and Mechanics
10 Discrete & Computational Geometry
10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
9 Differential Geometry and its Applications
9 Annals of Physics
9 Differential Equations
9 Chebyshevskiĭ Sbornik
8 International Journal of Theoretical Physics
8 Annales de l’Institut Fourier
8 Journal of Algebra
8 Lobachevskii Journal of Mathematics
7 Physics Letters. A
7 Reports on Mathematical Physics
7 Ukrainian Mathematical Journal
7 Chaos, Solitons and Fractals
7 Duke Mathematical Journal
7 Journal of Differential Equations
7 Proceedings of the American Mathematical Society
7 Bulletin of the American Mathematical Society. New Series
7 International Journal of Geometric Methods in Modern Physics
6 Russian Mathematical Surveys
6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
6 Journal of Functional Analysis
6 Manuscripta Mathematica
6 Mathematische Annalen
6 Mathematische Zeitschrift
6 Transactions of the Moscow Mathematical Society
6 The Journal of Geometric Analysis
6 Geometric and Functional Analysis. GAFA
6 Discrete and Continuous Dynamical Systems
6 Russian Physics Journal
6 Qualitative Theory of Dynamical Systems
6 Algebraic & Geometric Topology
6 Journal of Geometric Mechanics
5 Compositio Mathematica
5 Journal of Nonlinear Science
5 St. Petersburg Mathematical Journal
4 Discrete Mathematics
4 Mathematics of Computation
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Ergodic Theory and Dynamical Systems
4 Systems & Control Letters
4 Automation and Remote Control
4 Linear Algebra and its Applications
4 Indagationes Mathematicae. New Series
4 Calculus of Variations and Partial Differential Equations
4 Journal of High Energy Physics
4 Journal of Nonlinear Mathematical Physics
4 Journal of Noncommutative Geometry
3 Archive for Rational Mechanics and Analysis
3 Communications in Algebra
3 Computer Methods in Applied Mechanics and Engineering
3 Journal of Statistical Physics
3 Prikladnaya Matematika i Mekhanika
3 Inventiones Mathematicae
3 Journal of Pure and Applied Algebra
3 European Journal of Combinatorics
3 Acta Mathematica Hungarica
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Journal of the American Mathematical Society
3 Science in China. Series A
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Advances in Applied Clifford Algebras
3 Bulletin des Sciences Mathématiques
3 Acta Mathematica Sinica. English Series
3 Communications in Nonlinear Science and Numerical Simulation
3 Journal of Dynamical and Control Systems
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Foundations of Physics
3 Complex Analysis and Operator Theory
3 Journal of Physics A: Mathematical and Theoretical
3 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
3 Analysis and Mathematical Physics
3 Russian Journal of Nonlinear Dynamics
2 Computers & Mathematics with Applications
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Cited in 61 Fields

471 Dynamical systems and ergodic theory (37-XX)
298 Differential geometry (53-XX)
269 Mechanics of particles and systems (70-XX)
168 Manifolds and cell complexes (57-XX)
151 Global analysis, analysis on manifolds (58-XX)
104 Partial differential equations (35-XX)
103 Quantum theory (81-XX)
94 Nonassociative rings and algebras (17-XX)
68 Ordinary differential equations (34-XX)
54 Functional analysis (46-XX)
52 Fluid mechanics (76-XX)
49 Algebraic topology (55-XX)
48 Algebraic geometry (14-XX)
45 Calculus of variations and optimal control; optimization (49-XX)
38 Topological groups, Lie groups (22-XX)
36 Relativity and gravitational theory (83-XX)
34 Statistical mechanics, structure of matter (82-XX)
27 Mechanics of deformable solids (74-XX)
25 Convex and discrete geometry (52-XX)
25 Computer science (68-XX)
24 Group theory and generalizations (20-XX)
24 Numerical analysis (65-XX)
23 Combinatorics (05-XX)
23 Operator theory (47-XX)
20 \(K\)-theory (19-XX)
19 Several complex variables and analytic spaces (32-XX)
19 Systems theory; control (93-XX)
18 Optics, electromagnetic theory (78-XX)
17 Functions of a complex variable (30-XX)
16 Associative rings and algebras (16-XX)
15 Linear and multilinear algebra; matrix theory (15-XX)
14 Geometry (51-XX)
10 Probability theory and stochastic processes (60-XX)
9 Measure and integration (28-XX)
9 General topology (54-XX)
8 History and biography (01-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Mathematical logic and foundations (03-XX)
7 Operations research, mathematical programming (90-XX)
6 Number theory (11-XX)
6 Category theory; homological algebra (18-XX)
6 Astronomy and astrophysics (85-XX)
6 Biology and other natural sciences (92-XX)
6 Information and communication theory, circuits (94-XX)
5 General and overarching topics; collections (00-XX)
5 Potential theory (31-XX)
5 Special functions (33-XX)
5 Statistics (62-XX)
4 Commutative algebra (13-XX)
4 Difference and functional equations (39-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Abstract harmonic analysis (43-XX)
4 Integral equations (45-XX)
3 Real functions (26-XX)
3 Approximations and expansions (41-XX)
3 Geophysics (86-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Field theory and polynomials (12-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)

Citations by Year

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