Hénon Map
In mathematics, the Hénon map, sometimes called Hénon–Pomeau attractor/map, is a discrete-time dynamical system. It is one of the most studied examples of dynamical systems that exhibit chaos theory, chaotic behavior. The Hénon map takes a point in the plane and maps it to a new point :\beginx_ = 1 - a x_n^2 + y_n\\y_ = b x_n.\end The map depends on two parameters, and , which for the classical Hénon map have values of and . For the classical values the Hénon map is chaotic. For other values of and the map may be Randomness, chaotic, Intermittency, intermittent, or converge to a periodic orbit. An overview of the type of behavior of the map at different parameter values may be obtained from its orbit diagram. The map was introduced by Michel Hénon as a simplified model of the Poincaré map, Poincaré section of the Lorenz attractor, Lorenz model. For the classical map, an initial point of the plane will either approach a set of points known as the Hénon Attrac ...
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