Some remarks on the geometry of the Standard Map

Details Some remarks on the geometry of the Standard Map Some remarks on the geometry of the Standard Map

2008-10-17

arxiv.org/abs/0810.3122v1

International Journal of Bifurcation and Chaos, Vol 19, No 7 (2009) 2213-2232

Mathematics

Dynamical Systems

25 pages, 11 figures

Scientific paper

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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