SOME REMARKS ON THE GEOMETRY OF THE STANDARD MAP-Reference-Cited by-同舟云学术

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SOME REMARKS ON THE GEOMETRY OF THE STANDARD MAP

Published:2009-07 Issue:07 Volume:19 Page:2213-2232
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

BLOOR KATIE¹,LUZZATTO STEFANO¹

Affiliation:

1. Mathematics Department, Imperial College London, SW7 2AZ, UK

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127409024025

Reference21 articles.

1. The Dynamics of the Henon Map

2. FROM ALMOST PERIODIC TO CHAOTIC: THE FUNDAMENTAL MAP

3. Symbolic encoding in symplectic maps

4. A tutorial on KAM theory

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1. Records and Occupation Time Statistics for Area-Preserving Maps;Entropy;2023-02-01

2. Uniqueness of the measure of maximal entropy for the standard map;Commentarii Mathematici Helvetici;2021-03-12

3. Oseledets' splitting of standard-like maps;Chaos: An Interdisciplinary Journal of Nonlinear Science;2015-02

4. On Stochastic Sea of the Standard Map;Communications in Mathematical Physics;2011-10-29

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