This article is cited in 1 paper

On the 60th birthday of V.I.Arnold

Visualization of a hyperbolic structure in area preserving maps

A. Giorgilli^a, V. F. Lazutkin^b, C. Simó<sup>c

a</sup> Dipartimento di Matematica Università degli Studi di Milano, via Saldini 50, 20133 Milano, Italy
^b Physics Department, St.-Petersburg State University, Ulyanov str. 1, kor. 1, Petrodvorets, St.-Petersburg, 198904, Russia
^c Department de Mathemàtica i Anàlisi, Universitat de Barcelona, Gran Via 585, 08007, Barcelona, Spain

Abstract: We present a simple method which displays a hyperbolic structure in the phase space of an area preserving map. The method is illustrated for the case of the Carleson standard map. As it follows from our experiments, the structure of the chaotic zone for the standard map is different from the one found for the systems of Anosov type.

Received: 20.11.1997

Language: English

DOI: 10.1070/RD1997v002n03ABEH000047

Bibliographic databases:

• 
•