Nonlinear science has a very broad scope and the aim of this volume of lectures is to introduce different aspects of this vast domain to research students whose studies are necessarily concentrated on only one. The lectures given at summer schools in France between 1997 and 1999, describe analytical, geometrical and experimental approaches to subjects as diverse as turbulence, elasticity, physiology, classical mechanics, quantum chaos, water waves and the laser cooling of atoms.
Elasticity and geometry, B. Audoly and Y. Pomeau; quantum chaos, D. Delande; the water-wave problem as a spatial dynamical system, G. Iooss; cold atoms and multiple scattering, R. Kaiser; an introduction to Zakharov theory of weak turbulence, M.L. Bellac; phenomena beyond all orders and bifurcations of reversible homoclinic connections near higher resonances, E. Lombardi; mathematical modelling in the life sciences - applications in pattern formation and wound healing, P.K. Maini; relative equilibria and conserved quantities in symmetric Hamiltonian system, J. Montaldi.