A variational principle for invariant tori of fixed frequency
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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.
[1] K. Whiteman. Invariants and stability in classical mechanics , 1977 .
[2] I. Percival. Variational principles for the invariant toroids of classical dynamics , 1974 .
[3] Robert L. Weber,et al. Sources of Quantum Mechanics , 1968 .
[4] J. V. Vleck. Two Notes on Quantum Conditions , 1923 .
[5] I. Percival,et al. Vibrational quantization of polyatomic molecules , 1976 .