Dynamical Systems Approach to Turbulence

Zusammenfassung Fills a gap between the new fields of non-linear and chaotic dynamical systems! and the more traditional field of hydrodynamics and turbulence. The book contains the first coherent presentation of the applications of shell models to fully developed hydrodynamical turbulence. Inhaltsverzeichnis 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.

Product details

• Authors: Tomas Bohr, Tomas Jensen Bohr, Mogens H. Jensen, Giovanni Paladin
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 22.08.2005
• EAN: 9780521017947
• ISBN: 978-0-521-01794-7
• No. of pages: 372
• Series: Cambridge Nonlinear Science
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > General, dictionaries; Non-fiction book > Nature, technology > Astronomy: general, reference works