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Russian Mathematical Surveys, 1977, Volume 32, Issue 4, Pages 177–243
DOI: https://doi.org/10.1070/RM1977v032n04ABEH001642
(Mi rm3221)
 

This article is cited in 52 scientific papers (total in 55 papers)

The structures of Hamiltonian mechanics

A. M. Vinogradov, B. A. Kupershmidt
References:
Received: 20.10.1975
Bibliographic databases:
Document Type: Article
UDC: 519.9
Language: English
Original paper language: Russian
Citation: A. M. Vinogradov, B. A. Kupershmidt, “The structures of Hamiltonian mechanics”, Russian Math. Surveys, 32:4 (1977), 177–243
Citation in format AMSBIB
\Bibitem{VinKup77}
\by A.~M.~Vinogradov, B.~A.~Kupershmidt
\paper The structures of Hamiltonian mechanics
\jour Russian Math. Surveys
\yr 1977
\vol 32
\issue 4
\pages 177--243
\mathnet{http://mi.mathnet.ru/eng/rm3221}
\crossref{https://doi.org/10.1070/RM1977v032n04ABEH001642}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=501143}
\zmath{https://zbmath.org/?q=an:0365.70016|0383.70020}
Linking options:
  • https://www.mathnet.ru/eng/rm3221
  • https://doi.org/10.1070/RM1977v032n04ABEH001642
  • https://www.mathnet.ru/eng/rm/v32/i4/p175
  • This publication is cited in the following 55 articles:
    1. Mohammad Sadegh Es-haghi, Cosmin Anitescu, Timon Rabczuk, “Methods for enabling real-time analysis in digital twins: A literature review”, Computers & Structures, 297 (2024), 107342  crossref
    2. Wayne W. Weaver, Rush D. Robinett, David G. Wilson, 2024 IEEE Sixth International Conference on DC Microgrids (ICDCM), 2024, 1  crossref
    3. Andrey V. Tsiganov, “Integrable Systems on a Sphere, an Ellipsoid and a Hyperboloid”, Regul. Chaotic Dyn., 28:6 (2023), 805–821  mathnet  crossref
    4. Roberto D'Onofrio, Giovanni Ortenzi, Ian Roulstone, Volodya Rubtsov, “Solutions and singularities of the semigeostrophic equations via the geometry of Lagrangian submanifolds”, Proc. R. Soc. A., 479:2271 (2023)  crossref
    5. Andrey V. Tsiganov, “Equivalent Integrable Metrics on the Sphere with Quartic Invariants”, SIGMA, 18 (2022), 094, 19 pp.  mathnet  crossref  mathscinet
    6. Vladimir Roubtsov, Denys Dutykh, Tutorials, Schools, and Workshops in the Mathematical Sciences, Differential Geometry, Differential Equations, and Mathematical Physics, 2021, 1  crossref
    7. A. M. Astashov, I. V. Astashova, A. V. Bocharov, V. M. Buchstaber, V. A. Vassiliev, A. Verbovetsky, A. M. Vershik, A. P. Veselov, M. M. Vinogradov, L. Vitagliano, R. F. Vitolo, Th. Th. Voronov, V. G. Kac, Y. Kosmann-Schwarzbach, I. S. Krasil'shchik, I. M. Krichever, A. P. Krishchenko, S. K. Lando, V. V. Lychagin, M. Marvan, V. P. Maslov, A. S. Mishchenko, S. P. Novikov, V. N. Rubtsov, A. V. Samokhin, A. B. Sossinsky, J. Stasheff, D. B. Fuchs, A. Ya. Khelemsky, N. G. Khor'kova, V. N. Chetverikov, A. S. Schwarz, “Alexandre Mikhailovich Vinogradov (obituary)”, Russian Math. Surveys, 75:2 (2020), 369–375  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    8. Arkadi Berezovski, M. Erden Yildizdag, Daria Scerrato, “On the wave dispersion in microstructured solids”, Continuum Mech. Thermodyn., 32:3 (2020), 569  crossref
    9. A. V. Tsiganov, “Discretization of Hamiltonian systems and intersection theory”, Theoret. and Math. Phys., 197:3 (2018), 1806–1822  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    10. A. Kurov, G. Sardanashvily, “Superintegrable systems on Poisson manifolds”, J. Phys.: Conf. Ser., 804 (2017), 012025  crossref
    11. Andrei Ludu, Springer Series in Synergetics, Boundaries of a Complex World, 2016, 245  crossref
    12. Andrei Ludu, Springer Series in Synergetics, Boundaries of a Complex World, 2016, 3  crossref
    13. S Capriotti, H Montani, “Integrable systems on semidirect product Lie groups”, J. Phys. A: Math. Theor, 47:20 (2014), 205206  crossref
    14. A. V. Belyaev, “Asymptotic behaviour of singular points of solutions of the problem of heavy $n$-dimensional body motion in the Lagrange case”, Sb. Math., 202:11 (2011), 1617–1635  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    15. M. K. Kerimov, “On the centenary of the birth of professor Solomon Grigor'evich Mikhlin (1910–2010)”, Comput. Math. Math. Phys., 50:10 (2010), 1769–1775  mathnet  crossref  adsnasa  isi  elib
    16. G. SARDANASHVILY, “SUPERINTEGRABLE HAMILTONIAN SYSTEMS WITH NONCOMPACT INVARIANT SUBMANIFOLDS: Kepler SYSTEM”, Int. J. Geom. Methods Mod. Phys, 06:08 (2009), 1391  crossref
    17. V.S. Gerdjikov, G. Vilasi, A.B. Yanovski, Lecture Notes in Physics, 748, Integrable Hamiltonian Hierarchies, 2008, 211  crossref
    18. V.S. Gerdjikov, G. Vilasi, A.B. Yanovski, Lecture Notes in Physics, 748, Integrable Hamiltonian Hierarchies, 2008, 247  crossref
    19. E. Fiorani, G. Sardanashvily, “Global action-angle coordinates for completely integrable systems with noncompact invariant submanifolds”, J Math Phys (N Y ), 48:3 (2007), 032901  crossref  mathscinet  zmath  adsnasa  isi
    20. Marsden J.E. Misiolek G. Ortega J.-P. Perlmutter M. Ratiu T., “Hamiltonian Reduction by Stages”, Hamiltonian Reduction by Stages, Lecture Notes in Mathematics, 1913, Springer-Verlag Berlin, 2007, V+  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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