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Hénon

Calculate and display the "Hénon" map / attractor

Henon_1 Image

The map was introduced by Michel Hénon as a simplified model of the Poincaré section of the Lorenz model. It is defined by the following equations:

{ x n + 1 = 1 a x n 2 + y n y n + 1 = b x n

Where x n and y n are the coordinates at the nth iteration, and a and b are parameters. The map exhibits chaotic behavior for certain values of a and b, and its strange attractor is a classic example of deterministic chaos.