{"product_id":"dynamical-systems-approach-to-turbulence-paperback-9780521017947","title":"Dynamical Systems Approach to Turbulence (Paperback) 9780521017947","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eDynamical Systems Approach to Turbulence\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis book treats turbulence from the point of view of deterministic dynamical systems.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eTomas Bohr (Author), Mogens H. Jensen (Author), Giovanni Paladin (Author), Angelo Vulpiani (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521017947, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 22 August 2005\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e372 pages, 107 b\/w illus.  1 table\u003cbr\u003e24.5 x 17 x 2 cm, 0.908 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\"...overall this is a useful review of a part of the recent work on dynamical systems and turbulence...\"   Mathematical Reviews\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eIntroduction\u003cbr\u003e 1. Turbulence and dynamical systems\u003cbr\u003e 2. Phenomenology of turbulence\u003cbr\u003e 3. Reduced models for hydrodynamic turbulence\u003cbr\u003e 4. Turbulence and coupled map lattices\u003cbr\u003e 5. Turbulence in the complex Ginzburg-Landau equation\u003cbr\u003e 6. Predictability in high-dimensional systems\u003cbr\u003e 7. Dynamics of interfaces\u003cbr\u003e 8. Lagrangian chaos\u003cbr\u003e 9. Chaotic diffusion\u003cbr\u003e Appendix A. Hopf bifurcation\u003cbr\u003e Appendix B. Hamiltonian systems\u003cbr\u003e Appendix C. Characteristic and generalised Lyapunov exponents\u003cbr\u003e Appendix D. Convective instabilities\u003cbr\u003e Appendix E. Generalised fractal dimensions and multifractals\u003cbr\u003e Appendix F. Multiaffine fields\u003cbr\u003e Appendix G. Reduction to a finite-dimensional dynamical system\u003cbr\u003e Appendix H. Directed percolation.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Fluid mechanics [\u003ca title=\"See our other books on Fluid mechanics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Fluid%20mechanics%20%5BPHDF%5D%22\"\u003ePHDF\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46005121057048,"sku":"9780521017947","price":54.29,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521017947i_d2a001b8-782b-4142-86ef-80535e4c7695.jpg?v=1691376759","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/dynamical-systems-approach-to-turbulence-paperback-9780521017947","provider":"Freshly Printed Books","version":"1.0","type":"link"}