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Matematicheskie Zametki, 1989, Volume 45, Issue 5, Pages 38–49 (Mi mzm3485)  
This article is cited in 7 scientific papers (total in 7 papers)

Reducible variational equations and the perturbation of invariant tori of Hamiltonian systems

S. B. Kuksin
Full-text PDF (1268 kB) Citations (7)
Received: 25.04.1988
English version:
Mathematical Notes, 1989, Volume 45, Issue 5, Pages 373–381
DOI: https://doi.org/10.1007/BF01157931
Bibliographic databases:
UDC: 517.957
Language: Russian
Citation: S. B. Kuksin, “Reducible variational equations and the perturbation of invariant tori of Hamiltonian systems”, Mat. Zametki, 45:5 (1989), 38–49; Math. Notes, 45:5 (1989), 373–381
Citation in format AMSBIB
\Bibitem{Kuk89}
\by S.~B.~Kuksin
\paper Reducible variational equations and the perturbation of invariant tori of Hamiltonian systems
\jour Mat. Zametki
\yr 1989
\vol 45
\issue 5
\pages 38--49
\mathnet{http://mi.mathnet.ru/mzm3485}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1005460}
\zmath{https://zbmath.org/?q=an:0727.58017|0684.58013}
\transl
\jour Math. Notes
\yr 1989
\vol 45
\issue 5
\pages 373--381
\crossref{https://doi.org/10.1007/BF01157931}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1989CP77700005}
Linking options:
  • https://www.mathnet.ru/eng/mzm3485
  • https://www.mathnet.ru/eng/mzm/v45/i5/p38
    • This publication is cited in the following 7 articles:
    1. V. V. Belov, S. Yu. Dobrokhotov, V. A. Maksimov, “Explicit Formulas for Generalized Action–Angle Variables in a Neighborhood of an Isotropic Torus and Their Application”, Theoret. and Math. Phys., 135:3 (2003), 765–791  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    2. V. V. Belov, O. S. Dobrokhotov, S. Yu. Dobrokhotov, “Isotropic Tori, Complex Germ and Maslov Index, Normal Forms and Quasimodes of Multidimensional Spectral Problems”, Math. Notes, 69:4 (2001), 437–466  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    3. Mikhail Karasev, Yuri Vorobjev, “Integral Representations over Isotropic Submanifolds and Equations of Zero Curvature”, Advances in Mathematics, 135:2 (1998), 220  crossref
    4. S. B. Kuksin, First European Congress of Mathematics Paris, July 6–10, 1992, 1994, 123  crossref
    5. G. R. W. Quispel, M. B. Sevryuk, “KAM theorems for the product of two involutions of different types”, Chaos: An Interdisciplinary Journal of Nonlinear Science, 3:4 (1993), 757  crossref
    6. V. V. Belov, S. Yu. Dobrokhotov, “Semiclassical maslov asymptotics with complex phases. I. General approach”, Theoret. and Math. Phys., 92:2 (1992), 843–868  mathnet  crossref  mathscinet  isi
    7. A.I. Bobenko, S.B. Kuksin, “Finite-gap periodic solutions of the KdV equation are non-degenerate”, Physics Letters A, 161:3 (1991), 274  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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