Dr. Faouzi Lakrad

		Alexander-von-Humboldt Fellow (University of Casablanca, Marokko)
	Address	Institute Polytechnique Rue 10, Numero 10 Lotissement Allaimoun 1 Casablanca, Morocco
	Phone Fax	+ 212 72 31 1772 + 212 22 93 6559
	Email	lakrad@recherche-maroc.org

Field of Research

Dynamic Systems
Singular Pertubations Theory

Publications

• F. Lakrad, M. Belhaq : "Solutions of a shallow arch under fast and slow excitations", IUTAM symposium on chaotic dynamics and control systems and processes in Mechanics held in Rome, 8-13 June 2003.
• F. Lakrad, M. Belhaq : "Periodic solutions of strongly non-linear oscillators", Journal of Sound and Vibration, 258(4), 677-700, 2002.
• M. Belhaq, F. Lakrad : "Analytics of Homoclinic bifurcations in three dimensional systems" , Int. J. Bifurcation and Chaos, 12(11), 2479-2486, 2002.
• F. Lakrad, M. Houssni, M. Belhaq : "Bifurcations in three-dimensional systems: asymptotic treatment", Proceedings of Equadiff 99 , 58-60, world Scientific, 2000.
• M. Belhaq, F. Lakrad : "An elliptic multiple scales method for certain autonomous strongly non-linear oscillators", J. Sound and Vibration, 234(3), 547-553, 2000.
• M. Belhaq, F. Lakrad : "Prediction of Homoclinic bifurcation: the elliptic averaging method", Chaos Solition & Fractal, 11, 2251-2258, 2000.
• M. Belhaq, F. Lakrad : "On the elliptic harmonic balance method for mixed parity non-linear oscillators", J. Sound and Vibration, 233(5), 935-937, 2000.
• M. Belhaq, B. Fiedler , F. Lakrad : "Homoclinic connections in strongly self-excited nonlinear oscillators : the Melnikov function and the elliptic Lindstedt-Poincare method", Nonlinear Dynamics, 23, 67-86, 2000.
• M. Belhaq, F. Lakrad : "Bifurcation of Homoclinic orbits in autonomous systems and in chaotic blue sky catastrophe", Solid Mecha. Appl. 63, 93-100, 1999.
• M. Belhaq, F. Lakrad, A. Fahsi : "Predicting Homoclinic bifurcations in planar autonomous system", Nonlinear Dynamics, 18(4), 303-310, 1999.

Conferences

• F. Lakrad : "A Review of Applications of Nonlinear Dynamics and chaos theory in Mechanics", Kolloquium für Humboldtianer aus den frankophonen Ländern Nord- und Westafrikas, vom 12. bis 14. Dezember, Rabat, Marokko, 2003.
• F. Lakrad, W. Schiehlen : "Dynamic systems with slow Parametric excitations", EUROMECH 452 : Advances in Simulation Techniques for Applied Dynamics, March 1-4, Halle (Saale), Germany, 2004.

Preprints

• F. Lakrad, W. Schiehlen : "Effects of a low frequency parametric excitation".
• F. Lakrad, N. Abouhazim, M. Belhaq : "Bursters solutions of a self-excited quasi-periodic Mathieu oscillator".
• M. Ackermann, F. Lakrad, N. Guse : "Improving Efficiency of controlled Rheonomic systems by curve fitting".
• N. Abouhazim, M. Belhaq, F. Lakrad : "Three-period quasi-periodic solutions in the self-excited quasi-periodic Mathieu oscillator".