The paper extends Hénon's isochronous diagram with a period-doubling diagram along the second symmetry line, resolving missing island chains and revealing twistless structures in area-preserving maps.
For mappings in McMillan form that satisfy f (p) = −f (−p), an additional spatial symmetry arises
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Isochronous and period-doubling diagrams for symplectic maps of the plane
The paper extends Hénon's isochronous diagram with a period-doubling diagram along the second symmetry line, resolving missing island chains and revealing twistless structures in area-preserving maps.