000			03054nam a22003618i 4500
001			CR9780511599972
003			UkCbUP
005			20200124160228.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090721s1998||||enk o ||1 0|eng|d
020			_a9780511599972 (ebook)
020			_z9780521475143 (hardback)
020			_z9780521017947 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	4	_aTA357.5.T87 _bB64 1998
082	0	0	_a620.1/064 _221
100	1		_aBohr, Tomas, _d1953- _eauthor.
245	1	0	_aDynamical systems approach to turbulence / _cTomas Bohr [and others].
264		1	_aCambridge : _bCambridge University Press, _c1998.
300			_a1 online resource (xx, 350 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge nonlinear science series ; _v8
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_a1. 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			_aThis 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.
650		0	_aTurbulence _xMathematical models.
776	0	8	_iPrint version: _z9780521475143
830		0	_aCambridge nonlinear science series ; _v8.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511599972
999			_c517391 _d517389