A variational principle for invariant tori of fixed frequency
- 1 March 1979
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 12 (3) , L57-L60
- https://doi.org/10.1088/0305-4470/12/3/001
Abstract
A fixed frequency Lagrangian variational principle is formulated for the invariant tori of conservative dynamical systems. It avoids the singularities due to small frequency divisors, and for pure rotation provides a strict bound which can be used as a basis for an effective variational method.Keywords
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