Birkhoff averages and rotational invariant circles for area-preserving maps

  title={Birkhoff averages and rotational invariant circles for area-preserving maps},
  author={Evelyn Sander and James D. Meiss},
  journal={Physica D: Nonlinear Phenomena},
  • E. Sander, J. Meiss
  • Published 31 December 2019
  • Mathematics, Physics
  • Physica D: Nonlinear Phenomena
Abstract Rotational invariant circles of area-preserving maps are an important and well-studied example of KAM tori. John Greene conjectured that the locally most robust rotational circles have rotation numbers that are noble, i.e., have continued fractions with a tail of ones, and that, of these circles, the most robust has golden mean rotation number. The accurate numerical confirmation of these conjectures relies on the map having a time-reversal symmetry, and such high accuracy has not been… 
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