Instabilities Chaos And Turbulence PDF Download
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Author | : Paul Manneville |
Publisher | : World Scientific |
Total Pages | : 456 |
Release | : 2010 |
Genre | : Science |
ISBN | : 1848163924 |
Download Instabilities, Chaos and Turbulence Book in PDF, ePub and Kindle
This book (2nd edition) is a self-contained introduction to a wide body of knowledge on nonlinear dynamics and chaos. Manneville emphasises the understanding of basic concepts and the nontrivial character of nonlinear response, contrasting it with the intuitively simple linear response. He explains the theoretical framework using pedagogical examples from fluid dynamics, though prior knowledge of this field is not required. Heuristic arguments and worked examples replace most esoteric technicalities. Only basic understanding of mathematics and physics is required, at the level of what is currently known after one or two years of undergraduate training: elementary calculus, basic notions of linear algebra and ordinary differential calculus, and a few fundamental physical equations (specific complements are provided when necessary). Methods presented are of fully general use, which opens up ample windows on topics of contemporary interest. These include complex dynamical processes such as patterning, chaos control, mixing, and even the Earth's climate. Numerical simulations are proposed as a means to obtain deeper understanding of the intricacies induced by nonlinearities in our everyday environment, with hints on adapted modelling strategies and their implementation.
Author | : Paul Manneville |
Publisher | : |
Total Pages | : |
Release | : 2010 |
Genre | : Electronic books |
ISBN | : 9781848163942 |
Download Instabilities, Chaos and Turbulence Book in PDF, ePub and Kindle
Author | : Paul Manneville |
Publisher | : World Scientific |
Total Pages | : 456 |
Release | : 2010-07-21 |
Genre | : Science |
ISBN | : 1911299409 |
Download Instabilities, Chaos And Turbulence (2nd Edition) Book in PDF, ePub and Kindle
This book (2nd edition) is a self-contained introduction to a wide body of knowledge on nonlinear dynamics and chaos. Manneville emphasises the understanding of basic concepts and the nontrivial character of nonlinear response, contrasting it with the intuitively simple linear response. He explains the theoretical framework using pedagogical examples from fluid dynamics, though prior knowledge of this field is not required. Heuristic arguments and worked examples replace most esoteric technicalities. Only basic understanding of mathematics and physics is required, at the level of what is currently known after one or two years of undergraduate training: elementary calculus, basic notions of linear algebra and ordinary differential calculus, and a few fundamental physical equations (specific complements are provided when necessary). Methods presented are of fully general use, which opens up ample windows on topics of contemporary interest. These include complex dynamical processes such as patterning, chaos control, mixing, and even the Earth's climate. Numerical simulations are proposed as a means to obtain deeper understanding of the intricacies induced by nonlinearities in our everyday environment, with hints on adapted modelling strategies and their implementation./a
Author | : O.M. Belotserkovskii |
Publisher | : |
Total Pages | : 364 |
Release | : 2000 |
Genre | : Magnetohydrodynamic instabilities |
ISBN | : |
Download Turbulence and Instabilities Book in PDF, ePub and Kindle
Monograph presents the newest results in the numerical modeling and computer simulation of turbulence.
Author | : David Ruelle |
Publisher | : World Scientific |
Total Pages | : 496 |
Release | : 1995 |
Genre | : Science |
ISBN | : 9789810223106 |
Download Turbulence, Strange Attractors, and Chaos Book in PDF, ePub and Kindle
The present collection of reprints covers the main contributions of David Ruelle, and coauthors, to the theory of chaos and its applications. Several of the papers reproduced here are classics in the field. Others (that were published in less accessible places) may still surprise the reader.The collection contains mathematical articles relevant to chaos, specific articles on the theory, and articles on applications to hydrodynamical turbulence, chemical oscillations, etc.A sound judgement of the value of techniques and applications is crucial in the interdisciplinary field of chaos. For a critical assessment of what has been achieved in this area, the present volume is an invaluable contribution.
Author | : Herman Branover |
Publisher | : Academic Press |
Total Pages | : 296 |
Release | : 1999 |
Genre | : Science |
ISBN | : 9780121257408 |
Download Turbulence and Structures Book in PDF, ePub and Kindle
Turbulence is one of the most wide-spread phenomena in the universe. It relates to processes within the atmosphere, ocean, deep within the earth, as well as to the stars. The general public usually knows about turbulence from the unpleasant shaking of an airplane, or from disastrous atmospheric phenomena such as typhoons and hurricanes. The chaotic and unpredictable behavior of turbulent movement makes it very difficult to study. The degree of understanding of turbulence is still far from being complete. Some progress was made with the recent advent of a new science--chaos theory. The authors succeeded in examining one basic feature of turbulence called helicity (or spirality) which is the foundation of explaining and predicting the generation of large turbulent structures (e.g. typhoons). Helicity is a universal feature existing not only in fluid flows but also in solid bodies and even in living organisms. This book can be especially useful for researchers and students in fluid mechanics, plasma, geophysics, biology, and meteorology. * Examines the helical mechanism of self-organization in nature and laboratory * Presents a unified approach to chaos and theory * Discusses similarities and differences in the formation of dynamic and magnetic structures * Successfully combines profound theoretical and experimental knowledge * Includes a disk with an expanded bibliographical database
Author | : H.L. Swinney |
Publisher | : |
Total Pages | : |
Release | : 1981 |
Genre | : |
ISBN | : 9783662023303 |
Download Hydrodynamic instabilities and the transition to turbulence Book in PDF, ePub and Kindle
Author | : Michail Zak |
Publisher | : Springer Science & Business Media |
Total Pages | : 559 |
Release | : 2008-12-11 |
Genre | : Science |
ISBN | : 3540691219 |
Download From Instability to Intelligence Book in PDF, ePub and Kindle
So far as the laws of mathematics refer to reality, they are not certain. And so far as they are certain, they do not refer to reality. -A. Einstein The word "instability" in day-to-day language is associated with some thing going wrong or being abnormal: exponential growth of cancer cells, irrational behavior of a patient, collapse of a structure, etc. This book, however, is about "good" instabilities, which lead to change, evolution, progress, creativity, and intelligence; they explain the paradox of irreversi bility in thermodynamics, the phenomena of chaos and turbulence in clas sical mechanics, and non-deterministic (multi-choice) behavior in biological and social systems. The concept of instability is an attribute of dynamical models that de scribe change in time of physical parameters, biological or social events, etc. Each dynamical model has a certain sensitivity to small changes or "errors" in initial values of its variables. These errors may grow in time, and if such growth is of an exponential rate, the behavior of the variable is defined as unstable. However, the overall effect of an unstable variable upon the dynamical system is not necessarily destructive. Indeed, there al ways exists such a group of variables that do not contribute to the energy of the system. In mechanics such variables are called ignorable or cyclic.
Author | : H.L. Swinney |
Publisher | : Springer |
Total Pages | : 306 |
Release | : 2014-03-12 |
Genre | : Science |
ISBN | : 9783662309360 |
Download Hydrodynamic Instabilities and the Transition to Turbulence Book in PDF, ePub and Kindle
Author | : Lokenath Debnath |
Publisher | : Computational Mechanics |
Total Pages | : 432 |
Release | : 1998 |
Genre | : Chaotic behavior in systems |
ISBN | : |
Download Nonlinear Instability, Chaos, and Turbulence Book in PDF, ePub and Kindle
The second volume in a study of nonlinear stability, chaos and turbulence. It demonstrates the importance of mathematical, computational and experimental techniques to the advancement of research in nonlinear instability, chaotic motions and turbulent flow systems.