Abstract
Physical and mechanical systems with four-dimensional phase space are considered. The classification of nondegenerate integral systems is studied. A “physical zone,’ i.e., the systems connected with real physical applications, is determined. Bibliography: 27 titles.
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Published inZapiski Nauchnykh Seminarov POMI, Vol. 235, 1996, pp. 104–183.
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Fomenko, A.T. Symplectic topology of integrable dynamical systems. Rough topological classification of classical cases of integrability in the dynamics of a heavy rigid body. J Math Sci 94, 1512–1557 (1999). https://doi.org/10.1007/BF02365200
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DOI: https://doi.org/10.1007/BF02365200