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Dynamical Systems Approach to Turbulence: Cambridge Nonlinear Science Series, cartea 8

Autor Tomas Bohr, Mogens H. Jensen, Giovanni Paladin, Angelo Vulpiani
en Limba Engleză Paperback – 21 aug 2005
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.
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Specificații

ISBN-13: 9780521017947
ISBN-10: 0521017947
Pagini: 372
Ilustrații: 107 b/w illus. 1 table
Dimensiuni: 170 x 245 x 20 mm
Greutate: 0.59 kg
Ediția:Revised
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Cambridge Nonlinear Science Series

Locul publicării:Cambridge, United Kingdom

Cuprins

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.

Recenzii

"...overall this is a useful review of a part of the recent work on dynamical systems and turbulence..." Mathematical Reviews

Descriere

This book treats turbulence from the point of view of deterministic dynamical systems.