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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