Henon Area Preserving Twist Iteration

henon area preserving map 013
Iterating the Henon Area Preserving Map. The initial points are 2 line segments. Points are color coded.

Henon Area Preserving map is this function:


f(x,y) :=
{
cos(α) x - sin(α) * (y - e^b * x * |x|) ,
sin(α) x + cos(α) * (y - e^b * x * |x|)
}

This map preserves area.

User_Defined_x_y_Iteration.pdf

Henon Map

  1. Henon Map
  2. Henon Area Preserving Twist Map Iteration