(Laboratoire de Mathématiques, Université de Nice, France; see Laboratoire J. A. Dieudonné)
I earned my PHD in mathematics from University of Nice-S-A (France). My advisor professor was Pr. R. Lozi.
Our cooperation, with Pr. R. Lozi, is in area of synchronisation of chaos in some continuous dynamical systems. Also, we are interested in the problem of the recovering of trajectories and parameters of discrete and chaotic piecewise linear dynamical systems (as Lozi-map).
See:
Secure Communications via Chaotic Synchronization in Chua's Circuit: Numerical Analysis of The Errors of the Recovered Signal (Lozi, R. & Aziz-Alaoui, M. A.), Proc. Nonlinear Theory and its applications, Green Pia Ibusuku, Kagoshima, 145-148, (1994).
Numerical Results on Nonlinear Filtering for Coupled Chua Oscillators (Aziz-Alaoui, M. A. & Lozi, R.), Proc. 2nd. int. conf. ODE, Marrakech, (1995)
Applying Synchronization in Nolinear Filtering and Noise-reduction in some Dynamical Systems (Aziz-Alaoui, M.A. and Lozi, R.), will be, asap, submitted
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)
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)