Some remarks on the geometry of the Standard Map
classification
🧮 math.DS
math-phmath.MP
keywords
foliationsgeometryhyperbolicregionstandardassociatedcanonicalcertain
read the original abstract
We define and compute hyperbolic coordinates and associated foliations which provide a new way to describe the geometry of the standard map. We also identify a uniformly hyperbolic region and a complementary 'critical' region containing a smooth curve of tangencies between certain canonical 'stable' foliations.
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