Visualization of a hyperbolic structure in area preserving maps

by Antonio Giorgilli, Vladimir F. Lazutkin and Carles Simó

Abstract: Visualization of a Hyperbolic Structure in Area Preserving Maps 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.

Regular and Chaotic dynamics 2, 47--61 (1997).

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