Variational principles for the invariant toroids of classical dynamics
- 1 May 1974
- journal article
- Published by IOP Publishing in Journal of Physics A: Mathematical, Nuclear and General
- Vol. 7 (7), 794-802
- https://doi.org/10.1088/0305-4470/7/7/005
Abstract
Kolmogorov (1957), Arnol'd (1973) and Moser (1962) proved that invariant toroids of N dimensions occupy a finite volume of the 2N-dimensional phase space of nearly integrable bounded systems of N degrees of freedom. Variational principles are stated for such invariant toroids.Keywords
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