Book contents
- Frontmatter
- Contents
- To the memory of Giovanni
- Preface
- Introduction
- Chapter 1 Turbulence and dynamical systems
- Chapter 2 Phenomenology of hydrodynamic turbulence
- Chapter 3 Reduced models for hydrodynamic turbulence
- Chapter 4 Turbulence and coupled map lattices
- Chapter 5 Turbulence in the complex Ginzburg-Landau equation
- Chapter 6 Predictability in high-dimensional systems
- Chapter 7 Dynamics of interfaces
- Chapter 8 Lagrangian chaos
- Chapter 9 Chaotic diffusion
- Appendix A Hopf bifurcation
- Appendix B Hamiltonian systems
- Appendix C Characteristic and generalized Lyapunov exponents
- Appendix D Convective instabilities and linear front propagation
- Appendix E Generalized fractal dimensions and multifractals
- Appendix F Multiaffine fields
- Appendix G Reduction to a finite-dimensional dynamical system
- Appendix H Directed percolation
- References
- Index
Chapter 6 - Predictability in high-dimensional systems
Published online by Cambridge University Press: 23 December 2009
- Frontmatter
- Contents
- To the memory of Giovanni
- Preface
- Introduction
- Chapter 1 Turbulence and dynamical systems
- Chapter 2 Phenomenology of hydrodynamic turbulence
- Chapter 3 Reduced models for hydrodynamic turbulence
- Chapter 4 Turbulence and coupled map lattices
- Chapter 5 Turbulence in the complex Ginzburg-Landau equation
- Chapter 6 Predictability in high-dimensional systems
- Chapter 7 Dynamics of interfaces
- Chapter 8 Lagrangian chaos
- Chapter 9 Chaotic diffusion
- Appendix A Hopf bifurcation
- Appendix B Hamiltonian systems
- Appendix C Characteristic and generalized Lyapunov exponents
- Appendix D Convective instabilities and linear front propagation
- Appendix E Generalized fractal dimensions and multifractals
- Appendix F Multiaffine fields
- Appendix G Reduction to a finite-dimensional dynamical system
- Appendix H Directed percolation
- References
- Index
Summary
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- Dynamical Systems Approach to Turbulence , pp. 183 - 210Publisher: Cambridge University PressPrint publication year: 1998