#
Chaotification of an Hénon-type map

(or Multi-folds strange attractors ...)

Aziz Alaoui, M.A.

Depart. of Math., Labo. of Mechanics, Le Havre University, France.

in preparation

###
Abstract

We present and analyze a modified version of Hénon map.
Hénon [1976] studied the following map :

x_{n+1} = y_n+1-a.x_n^2 ,
y_{n+1} = b.x_n
(a and b are the parameters).
By modifying the nonlinear term of this map, we obtain
some new strange attractors with many folds (interest: secure
communication for example), (... asap ! for the paper ):

See the following figures.

See also:

like Lozi's

A classical Hénon attractor

A 2-folds strange attractor exhibited by the modified Hénon's map

A 3-folds strange attractor exhibited by the modified Hénon's map

A 4-folds strange attractor exhibited by the modified Hénon's map

Back to the previous page

Back to Aziz Alaoui's home page