Professor **A.N. Sharkovsky** has been, twice, my guest Professor
at Le Havre University, in may 1996 and in October 1998.

Our cooperation is in area of discrete dynamical systems.
Especially, about the problem of elaboration of the extraction
methods of efficient signal from input signal, which
is still a very attractive problem.
This problem is like the problem of recovering a
trajectory or a parameter of a chaotic dynamical system
using its *epsilon*-perturbed trajectory.
There is some links with Shadowing theory.
In this work we restrict ourself on chaotic dynamical systems given by
piecewise linear maps.

See:

On Synchronization and Anti-Synchronization in Piecewise Linear Systems (Aziz-Alaoui M. A. & Sharkovsky, A.N.), Intern. Conf. ICNBC'96, pp. 83-86. eds. Awrejcewicz J., Lamarque, C. H., (1996)

Recovering Trajectories of Chaotic Piecewise Linear Dynamical Systems
(Aziz-Alaoui, M.A., Fedorenko, A.D., Lozi,R., & Sharkovsky, A.N.),
Control of Oscillations and Chaos,
Proc. IEEE, vol. **2**, pp. 230-233,
eds. F.L. Chernousko, A.L. Fradkov, (1997)

Recovering Parameters of Chaotic Piecewise Linear Dynamical Systems
(Aziz-Alaoui, M.A., Fedorenko, A.D. , Lozi, R. & Sharkovsky, A.N.),
Control of Oscillations and Chaos, Proc. IEEE,
Vol. ** 2** , pp. 380-383, (2000)

Estimating Trajectories and Parameters of some Families of Dynamical Systems (Aziz Alaoui, M.A., Fedorenko, A.D., Lozi, R. & A.N.Sharkovsky, A.N.), will be, asap, submitted to Int. J. Bif. & Chaos ...

*Multi-Attractors
Demonstrations* (Gallery of Multi-spiral Strange attractors)

* Multi-folds attractors*
(Gallery of multi-folds Strange attractors)

*Animated view of
an attractor* (An animated view of a strange attractor)