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Integrability and non-integrability in Hamiltonian mechanics. (English. Russian original) Zbl 0525.70023
Russ. Math. Surv. 38, No. 1, 1-76 (1983); translation from Usp. Mat. Nauk 38, No. 1(229), 3-67 (1983).

MSC:
70H05 Hamilton’s equations
70G10 Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics
70-02 Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems
37G99 Local and nonlocal bifurcation theory for dynamical systems
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.)
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