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Standard maps in the plane
Map Move with the mouse over the parameter values. The pictures were generated with Mathematica 3.0 under Linux .
Cubic Henon Lozi map Cohen map
The cubic Henon map
(x,y) -> (gx-x 3 -y ,x). 		The Lozi map
(x,y) -> (1-g |x| - y ,x) 		Is the map
(x,y)-> ((g + x2)1/2-y,x)
integrable?
Henon g=1.5 Lozi g=0.4 Cohen g=0.0
Henon g=1.7 Lozi g=0.6 Cohen g=0.2
Henon g=1.9 Lozi g=0.8 Cohen g=0.4
Henon g=2.1 Lozi g=1.0 Cohen g=0.6
Henon g=2.3 Lozi g=1.2 Cohen g=0.8
Henon g=2.5 Lozi g=1.4 Cohen g=1.0
Maps on the torus