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Introduction
1. Turbulence and dynamical systems
2. Phenomenology of turbulence
3. Reduced models for hydrodynamic turbulence
4. Turbulence and coupled map lattices
5. Turbulence in the complex Ginzburg-Landau equation
6. Predictability in high-dimensional systems
7. Dynamics of interfaces
8. Lagrangian chaos
9. Chaotic diffusion
Appendix A. Hopf bifurcation
Appendix B. Hamiltonian systems
Appendix C. Characteristic and generalised Lyapunov exponents
Appendix D. Convective instabilities
Appendix E. Generalised fractal dimensions and multifractals
Appendix F. Multiaffine fields
Appendix G. Reduction to a finite-dimensional dynamical system
Appendix H. Directed percolation.