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arXiv · 0810.3122

Some remarks on the geometry of the Standard Map

Katie Bloor·Stefano Luzzatto
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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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Katie Bloor, Stefano Luzzatto. 2008-10-17. Some remarks on the geometry of the Standard Map. https://doi.org/10.1142/s0218127409024025

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