On the Henon transformation

Henon studied a transformation which maps the plane into itself and appears to have an attractor with locally the structure of a Cantor set cross and interval. By making use of the characteristic exponent, frequency spectrum, and a theorem of Smale, our numerical experiments provide evidence for the existence of two distinct strange attractors for some parameter values, and exponential rate of mixing for the parameter values studied by Henon, and an argument that there is a Cantor set in the trapping region of Henon. (orig.)