Delay differential Equations: Theory and Applications

Location

MARRAKECH
,
Morocco

Dates

to

Presentation

School’s duration is two weeks (ten full days). First week will be devoted to the general theory. Three main directions will be presented : linear theory in finite and infinite dimensions ; the nonlinear case dealt with as a perturbation of the linear case ; and bifurcations from an equilibrium towards a periodic orbit. The second week will be focused on applications with, at a first place, the geometry of delay differential equations. A number of hot points will be addressed: the control of retarded systems, delays in population dynamics as well as the effect of “ noise ” on dynamical properties of delay equations.

Administrative and scientific coordinators

E. Ait Dads (U. Marrakech,
Morocco
, )
O. Arino (IRD,
France
, )

Scientific program

Course 1: "Functional Differential Equations - An overview", J.K.Hale (Georgia Tech., USA)

Course 2: "Linear theory of delay differential equations in finite dimensions", E. Ait Dads (U. Marrakech, Morocco)

Course 3: "Spectral theory of delay differential equations", F. Kappel (Graz, Austria)

Course 4: "Introduction to the Hopf bifurcation theory for delay differential equations in finite dimensions: classical method, normal form expansion, determination of center manifolds, Lyapunov method", M.L. Hbid (U. Marrakech, Morocco)

Course 5: "Linear theory of delay differential equations in infinite dimensions", O. Arino (IRD, France)

Course 6: "Normal forms and bifurcation in partial differential equations with delay", M.T. Faria (U. Lisbonne, Portugal)

Course 7: "Geometry of delay differential equations", J. Mallet-Paret (U. Brown, USA) and H.O. Walther (U. Giessen, Germany)

Course 8: "General results on dynamical systems associated with nonlinear delay differential in infinite dimensions", M. Adimy (U. Pau, France) and K. Ezzinbi (U. Marrakech, Morocco)

Course 9: "Linear nonautonomous delay differential equations by means of extrapolation theory", L. Maniar (U. Marrakech, Morocco)

Course 10: "Control of systems governed by delay differential equations", J. Karrakchou (E. Mohammedia, Morocco)

Course 11: "Delay differential equations arising in population dynamics", E. Beretta (U. Urbino, Italy) and Ruan (U. Dalhousie, Canada)

Course 12: "Stochastic delay differential equations : applications and simulations", K. Pakdaman (INSERM, Paris, France)

Website of the school

http://www.cimpa-icpam.org/anciensite/Anglais/AnciensProg/2002/Morocco02.html

How to participate