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Symmetries, topology and resonances in Hamiltonian mechanics. (Симметрии, топология и резонансы в гамильтоновой механике.) (Russian) Zbl 0921.58029
Izhevsk: Izdatel’stvo Udmurtskogo Universiteta. 429 p. (1995).
See the review of the English translation (Springer 1996) in Zbl 0843.58068.

MSC:
37J35 Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
37-02 Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory
37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
70H07 Nonintegrable systems for problems in Hamiltonian and Lagrangian mechanics
70H09 Perturbation theories for problems in Hamiltonian and Lagrangian mechanics
70H33 Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics
Citations:
Zbl 0843.58068
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