Hénon map
The French astronomer Michel Hénon found the following 2-dimensional image, the so-called Hénon map, which consists of a simplification of the Lorenz equation of Meteorology (one of the first dynamic systems in which it has been found chaotic behavior ) shows:
With. Here, a and b are the control paramenter of the system.
The Hénon map is made up of three elementary pictures with k = 1,2,3 together:
- Non-linear distortion of the y-coordinate:
- Contraction of the x-coordinate: 0 < b < 1,
- Reflection at the main diagonal y = x.
It should be noted that another important feature of this figure is the self-similarity. In simple terms we mean a fractal magnification of any portion that is similar is back to its initial object. The Hénon map is a strange attractor.
- Fractal geometry
- Nonlinear Dynamics