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:

multi-folds attractors

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

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