Dynamical Systems Approach to Turbulence
£61.99
Part of Cambridge Nonlinear Science Series
- Authors:
- Tomas Bohr, University of Copenhagen
- Mogens H. Jensen, University of Copenhagen
- Giovanni Paladin
- Angelo Vulpiani, Università degli Studi di Roma 'La Sapienza', Italy
- Date Published: August 2005
- availability: Available
- format: Paperback
- isbn: 9780521017947
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This book, first published in 1998, treats turbulence from the point of view of dynamical systems. The exposition centres around a number of important simplified models for turbulent behaviour in systems ranging from fluid motion (classical turbulence) to chemical reactions and interfaces in disordered systems.The modern theory of fractals and multifractals now plays a major role in turbulence research, and turbulent states are being studied as important dynamical states of matter occurring also in systems outside the realm of hydrodynamics, i.e. chemical reactions or front propagation. The presentation relies heavily on simplified models of turbulent behaviour, notably shell models, coupled map lattices, amplitude equations and interface models, and the focus is primarily on fundamental concepts such as the differences between large and small systems, the nature of correlations and the origin of fractals and of scaling behaviour. This book will be of interest to graduate students and researchers interested in turbulence, from physics and applied mathematics backgrounds.
Read more- Describes new developments in non-linear and chaotic dynamical systems
- Fills a gap between this new field and more traditional field of turbulence
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×Product details
- Date Published: August 2005
- format: Paperback
- isbn: 9780521017947
- length: 372 pages
- dimensions: 245 x 170 x 20 mm
- weight: 0.908kg
- contains: 107 b/w illus. 1 table
- availability: Available
Table of Contents
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.
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