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Titlebook: Symmetries, Topology and Resonances in Hamiltonian Mechanics; Valerij V. Kozlov Book 1996 Springer-Verlag Berlin Heidelberg 1996 Bewegungs

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0071-1136 ere is an example of how differential geometry, differential and algebraic topology, and Newton‘s laws make music together" (.Amer. Math. Monthly., November 1989). .Kozlov‘s book is a systematic introduction to the problem of exact integration of equations of dynamics. The key to the solution is to
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Topological and Geometrical Obstructions to Complete Integrability,ence for local study of dynamical systems) was generalized in several directions. The proof of nonintegrability is based on variational methods and subtle results from the theory of singularities of analytic mappings.
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Book 1996ivial symmetries of Hamiltonian systems. After Poincaré‘s work it became clear that topological considerations and the analysis of resonance phenomena play a crucial role in the problem on the existence of symmetry fields and nontrivial conservation laws.
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