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On the Reduction of Dynamical Systems by Means of Parametrized Invariant Relations

1938
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Transactions of the American Mathematical Society
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Introduction. The classical reduction theory of canonical systems with n degrees of freedom assumes that there is known a function group of first integrals.! The reduction of the degree of freedom is then carried out by using the Hamilton-Jacobi theory or an equivalent approach. In the present paper a more general problem will be considered, since it will not be assumed that the known functions, or hypersurfaces in the phase-space, are represented by first integrals. In fact, the first

doi:10.2307/1989969
fatcat:dotk7aact5hlngb2vezjhdjpea