References
V. I. Arnol'd, Mathematical Methods of Classical Mechanics [in Russian], Nauka, Moscow (1989).
V. I. Arnol'd and A. B. Givental, “Symplectic geometry,” Contemporary Problems in Mathematics. Fundamental Directions [in Russian], Vol. 4, 5–139, Itogi Nauki i Tekhniki, VINITI, Moscow (1985).
A. B. Givental, “Periodic maps in symplectic topology,” Funkts. Anal. Prilozhen.,23, No. 4, 37–52 (1989).
C. C. Conley and E. Zehnder, “The Birkhoff—Lewis fixed point theorem and a conjecture of V. I. Arnol'd,” Invent. Math.,73, 33–49 (1983).
J. W. Milnor, Morse Theory, Princeton Univ. Press, Princeton, NJ (1963).
B. A. Dubrovin, S. P. Novikov, and A. T. Fomenko, Modern Geometry (Vol. 2) [in Russian], Nauka, Moscow (1984).
Additional information
Moscow State University. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 28, No. 3, pp. 61–65, July–September, 1994.
Partially supported by the ISF under grant No. MSD000.
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Pushkar’, P.E. Generating functions of symplectomorphisms. Funct Anal Its Appl 28, 198–201 (1994). https://doi.org/10.1007/BF01078453
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DOI: https://doi.org/10.1007/BF01078453