Dynamical Systems Approach to Turbulence

ISBN: 9780521017947 出版年：1998 页码：374 Tomas Bohr Mogens H Jensen Giovanni Paladin Angelo Vulpiani Cambridge University Press

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.