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Algebra i Analiz, 1996, Volume 8, Issue 3, Pages 78–103 (Mi aa705)  

This article is cited in 17 scientific papers (total in 17 papers)

Research Papers

Integrable gradient flows and Morse theory

A. P. Veselov, I. A. Dynnikov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Full text: PDF file (1217 kB)

English version:
St. Petersburg Mathematical Journal, 1997, 8:3, 429–446

Bibliographic databases:

Received: 20.06.1995

Citation: A. P. Veselov, I. A. Dynnikov, “Integrable gradient flows and Morse theory”, Algebra i Analiz, 8:3 (1996), 78–103; St. Petersburg Math. J., 8:3 (1997), 429–446

Citation in format AMSBIB
\Bibitem{VesDyn96}
\by A.~P.~Veselov, I.~A.~Dynnikov
\paper Integrable gradient flows and Morse theory
\jour Algebra i Analiz
\yr 1996
\vol 8
\issue 3
\pages 78--103
\mathnet{http://mi.mathnet.ru/aa705}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1402289}
\zmath{https://zbmath.org/?q=an:0884.58022|0876.58009}
\transl
\jour St. Petersburg Math. J.
\yr 1997
\vol 8
\issue 3
\pages 429--446


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Volchenko K.Y., Kozachko A.N., “Integrable gradient flows on classical manifolds and Morse theory”, Vestnik Moskovskogo Universiteta Seriya 1 Matematika Mekhanika, 1997, no. 3, 9–15  mathscinet  zmath  isi
    2. Chaturvedi N.A., McClamroch N.H., Bernstein D.S., “Stabilization of a specified equilibrium of the 3D in the inverted equilibrium manifoldof the 3D pendulum”, 2007 American Control Conference, Vols 1–13, Proceedings of the American Control Conference, 2007, 4526–4531  mathscinet  isi
    3. Ho, TS, “Landscape of unitary transformations in controlled quantum dynamics”, Physical Review A, 79:1 (2009), 013422  crossref  mathscinet  adsnasa  isi  elib  scopus  scopus
    4. Nicolaescu L.I., “Schubert calculus on the Grassmannian of Hermitian Lagrangian spaces”, Advances in Mathematics, 224:6 (2010), 2361–2434  crossref  mathscinet  zmath  isi  scopus
    5. Ziltener F., “Coisotropic Submanifolds, Leaf-Wise Fixed Points, and Presymplectic Embeddings”, Journal of Symplectic Geometry, 8:1 (2010), 95–118  crossref  mathscinet  zmath  isi  scopus  scopus
    6. Wu R.-B., Chakrabarti R., Rabitz H., “Critical Landscape Topology for Optimization on the Symplectic Group”, Journal of Optimization Theory and Applications, 145:2 (2010), 387–406  crossref  mathscinet  zmath  isi  scopus
    7. Mayhew Ch.G., Teel A.R., “Hybrid Control of Rigid-Body Attitude with Synergistic Potential Functions”, 2011 American Control Conference, Proceedings of the American Control Conference, 2011, 287–292  mathscinet  isi
    8. Mayhew Ch.G., Teel A.R., “Synergistic Potential Functions for Hybrid Control of Rigid-Body Attitude”, 2011 American Control Conference, Proceedings of the American Control Conference, 2011, 875–880  isi
    9. Kadzisa H., Mimura M., “Morse-Bott functions and the Lusternik-Schnirelmann category”, J Fixed Point Theory Appl, 10:1 (2011), 63–85  crossref  mathscinet  zmath  isi  scopus  scopus
    10. Gomez-Tato A., Macias-Virgos E., Pereira-Saez M.J., “Trace map, Cayley transform and LS category of Lie groups”, Ann Global Anal Geom, 39:3 (2011), 325–335  crossref  mathscinet  zmath  isi  scopus  scopus
    11. Mayhew Ch.G., Teel A.R., “Synergistic Hybrid Feedback for Global Rigid-Body Attitude Tracking on So(3)”, IEEE Trans. Autom. Control, 58:11 (2013), 2730–2742  crossref  mathscinet  zmath  isi  scopus  scopus
    12. Macias-Virgos E., Pereira-Saez M.J., “Height Functions on Compact Symmetric Spaces”, Mon.heft. Math., 177:1 (2015), 119–140  crossref  mathscinet  zmath  isi  scopus  scopus
    13. Cibotaru D., “Vertical flows and a general currential homotopy formula”, Indiana Univ. Math. J., 65:1 (2016), 93–169  crossref  mathscinet  zmath  isi  scopus  scopus
    14. Cibotaru D., “Vertical Morse-Bott-Smale flows and characteristics forms”, Indiana Univ. Math. J., 65:4 (2016), 1089–1135  crossref  mathscinet  zmath  isi  scopus  scopus
    15. Macias-Virgos E., Oprea J., Strom J., Tanre D., “Height Functions on Quaternionic Stiefel Manifolds”, J. Ramanujan Math. Soc., 32:1 (2017), 1–16  mathscinet  isi
    16. Macias-Virgos E., Jose Pereira-Saez M., Tanre D., “Morse Theory and the Lusternik-Schnirelmann Category of Quaternionic Grassmannians”, Proc. Edinb. Math. Soc., 60:2 (2017), 441–449  crossref  mathscinet  zmath  isi  scopus
    17. M. V. Mescheryakov, “Klassifikatsiya uprugikh veschestvennykh neprivodimykh lineinykh predstavlenii kompaktnykh svyaznykh grupp Li”, Algebra i analiz, 32:1 (2020), 40–50  mathnet
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