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Existence and smoothness of the integral of a Hamiltonian system of a certain form. (English. Russian original) Zbl 0741.70013

Math. Notes 49, No. 5, 498-501 (1991); translation from Mat. Zametki 49, No. 5, 80-85 (1991).
See the review in Zbl 0727.70019.

MSC:

70H05 Hamilton’s equations
37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems

Citations:

Zbl 0727.70019
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Full Text: DOI

References:

[1] V. V. Kozlov, ?Integrability and nonintegrability in Hamiltonian mechanics,? Usp. Mat. Nauk,38, No. 1, 3-67 (1988).
[2] W. H. Gottschalk and G. A. Hedlung, Topological Dynamics, Am. Math. Soc. Colloquium Publications, Vol. 36, Providence, R. I. (1955).
[3] E. A. Sidorov, ?Topologically transitive cylindrical cascades,? Mat. Zametki,14, No. 3, 441-452 (1973).
[4] A. Ya. Khinchin, Continued Fractions [in Russian], Nauka, Moscow (1978).
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