Abstract
A simple numerical method is presented to determine the number of constants of the motion (integrals) for multidimensional nonseparable Hamiltonians with n degrees of freedom. This method is based on the fact that a trajectory with k constants of the motion will be confined to a 2n-k dimensional surface of phase space. The method is applied to model systems of two and three degrees of freedom. 5 figures, 2 tables.
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