Dynamical systems approach to turbulence:
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 disorde...
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge
Cambridge University Press
1998
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Schriftenreihe: | Cambridge nonlinear science series
8 |
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Online-Zugang: | BSB01 FHN01 Volltext |
Zusammenfassung: | 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 |
Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
Beschreibung: | 1 online resource (xx, 350 pages) |
ISBN: | 9780511599972 |
DOI: | 10.1017/CBO9780511599972 |
Internformat
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505 | 8 | |a 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 | |
520 | |a 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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Datensatz im Suchindex
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any_adam_object | |
author | Bohr, Tomas 1953- |
author_facet | Bohr, Tomas 1953- |
author_role | aut |
author_sort | Bohr, Tomas 1953- |
author_variant | t b tb |
building | Verbundindex |
bvnumber | BV043941263 |
classification_rvk | UF 4300 |
collection | ZDB-20-CBO |
contents | 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 |
ctrlnum | (ZDB-20-CBO)CR9780511599972 (OCoLC)849883289 (DE-599)BVBBV043941263 |
dewey-full | 620.1/064 |
dewey-hundreds | 600 - Technology (Applied sciences) |
dewey-ones | 620 - Engineering and allied operations |
dewey-raw | 620.1/064 |
dewey-search | 620.1/064 |
dewey-sort | 3620.1 264 |
dewey-tens | 620 - Engineering and allied operations |
discipline | Physik |
doi_str_mv | 10.1017/CBO9780511599972 |
format | Electronic eBook |
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id | DE-604.BV043941263 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T07:39:15Z |
institution | BVB |
isbn | 9780511599972 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350234 |
oclc_num | 849883289 |
open_access_boolean | |
owner | DE-12 DE-92 |
owner_facet | DE-12 DE-92 |
physical | 1 online resource (xx, 350 pages) |
psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO |
publishDate | 1998 |
publishDateSearch | 1998 |
publishDateSort | 1998 |
publisher | Cambridge University Press |
record_format | marc |
series2 | Cambridge nonlinear science series |
spelling | Bohr, Tomas 1953- Verfasser aut Dynamical systems approach to turbulence Tomas Bohr [and others] Cambridge Cambridge University Press 1998 1 online resource (xx, 350 pages) txt rdacontent c rdamedia cr rdacarrier Cambridge nonlinear science series 8 Title from publisher's bibliographic system (viewed on 05 Oct 2015) 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 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 Mathematisches Modell Turbulence / Mathematical models Turbulente Strömung (DE-588)4117265-6 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Turbulente Strömung (DE-588)4117265-6 s Mathematisches Modell (DE-588)4114528-8 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-01794-7 Erscheint auch als Druckausgabe 978-0-521-47514-3 https://doi.org/10.1017/CBO9780511599972 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Bohr, Tomas 1953- Dynamical systems approach to turbulence 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 Mathematisches Modell Turbulence / Mathematical models Turbulente Strömung (DE-588)4117265-6 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
subject_GND | (DE-588)4117265-6 (DE-588)4114528-8 |
title | Dynamical systems approach to turbulence |
title_auth | Dynamical systems approach to turbulence |
title_exact_search | Dynamical systems approach to turbulence |
title_full | Dynamical systems approach to turbulence Tomas Bohr [and others] |
title_fullStr | Dynamical systems approach to turbulence Tomas Bohr [and others] |
title_full_unstemmed | Dynamical systems approach to turbulence Tomas Bohr [and others] |
title_short | Dynamical systems approach to turbulence |
title_sort | dynamical systems approach to turbulence |
topic | Mathematisches Modell Turbulence / Mathematical models Turbulente Strömung (DE-588)4117265-6 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
topic_facet | Mathematisches Modell Turbulence / Mathematical models Turbulente Strömung |
url | https://doi.org/10.1017/CBO9780511599972 |
work_keys_str_mv | AT bohrtomas dynamicalsystemsapproachtoturbulence |