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A variational principle for invariant tori of fixed frequency

1979/03/01 by I C Percival · 2 citations
Physics and Astronomy · Mathematics · #Quantum chaos and dynamical systems #Scientific Research and Discoveries #Numerical methods for differential equations

paper · doi:10.1088/0305-4470/12/3/001

openalex publication_date 1979/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

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.

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