SOME REMARKS ON THE GEOMETRY OF THE STANDARD MAP
| Autor: | Stefano Luzzatto, Katie Bloor |
|---|---|
| Rok vydání: | 2009 |
| Předmět: |
Mathematics::Dynamical Systems
Applied Mathematics FOS: Physical sciences Geometry Dynamical Systems (math.DS) Mathematical Physics (math-ph) Standard map 37D45 Hyperbolic coordinates Modeling and Simulation FOS: Mathematics Mathematics - Dynamical Systems Engineering (miscellaneous) Mathematical Physics Mathematics |
| Zdroj: | International Journal of Bifurcation and Chaos. 19:2213-2232 |
| ISSN: | 1793-6551 0218-1274 |
| DOI: | 10.1142/s0218127409024025 |
| Popis: | 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. 25 pages, 11 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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