Nonlinear Instability Chaos And Turbulence

Author : Lokenath Debnath
Publisher : Computational Mechanics
ISBN 13 :
Total Pages : 432 pages
Book Rating : 4.95/5 ( download)

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Download or read book Nonlinear Instability, Chaos, and Turbulence written by Lokenath Debnath and published by Computational Mechanics. This book was released on 1998 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Paul Manneville
Publisher : World Scientific
ISBN 13 : 1848163924
Total Pages : 456 pages
Book Rating : 4.28/5 ( download)

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Download or read book Instabilities, Chaos and Turbulence written by Paul Manneville and published by World Scientific. This book was released on 2010 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Lokenath Debnath
Publisher :
ISBN 13 : 9781853127311
Total Pages : pages
Book Rating : 4.10/5 ( download)

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Download or read book Nonlinear Instability Analysis, Chaos and Turbulence written by Lokenath Debnath and published by . This book was released on 2000-12 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Y. H. Ichikawa
Publisher : Allied Publishers
ISBN 13 : 9788177642346
Total Pages : 360 pages
Book Rating : 4.40/5 ( download)

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Download or read book Chaos and Structure in Nonlinear Plasmas written by Y. H. Ichikawa and published by Allied Publishers. This book was released on 2002 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : R. Z. Sagdeev
Publisher : Routledge
ISBN 13 :
Total Pages : 730 pages
Book Rating : 4.55/5 ( download)

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Download or read book Nonlinear Physics written by R. Z. Sagdeev and published by Routledge. This book was released on 1988 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt: Translated from the Russian. Gathers together the basic ideas of nonlinear theory essential for all branches of physics: mechanics of continuous media, optics, radiophysics, solid state physics, plasma physics. Includes color plates. Two sets of computer software (eight scenarios of dynamic computer graphics, and an ATRS program for research workers) are available separately. Annotation copyrighted by Book News, Inc., Portland, OR

Author : M.Y. Hussaini
Publisher : Springer Science & Business Media
ISBN 13 : 1461229561
Total Pages : 626 pages
Book Rating : 4.68/5 ( download)

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Download or read book Instability, Transition, and Turbulence written by M.Y. Hussaini and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Workshop on In stability, Transition and Turbulence, sponsored by the Institute for Computer Applications in Science and Engineering (ICASE) and the NASA Langley Research Center (LaRC), during July 8 to August 2, 1991. This is the second workshop in the series on the subject. The first was held in 1989, and its proceedings were published by Springer-Verlag under the title "Instability and Transition" edited by M. Y. Hussaini and R. G. Voigt. The objectives of these work shops are to i) expose the academic community to current technologically im portant issues of transition and turbulence in shear flows over the entire speed range, ii) acquaint the academic community with the unique combination of theoretical, computational and experimental capabilities at LaRC and foster interaction with these capabilities, and iii) accelerate progress in elucidating the fundamental phenomena of transition and turbulence, leading to improved transition and turbulence modeling in design methodologies. The research areas covered in these proceedings include receptiv ity and roughness, nonlinear theories of transition, numerical simu lation of spatially evolving flows, modelling of transitional and fully turbulent flows as well as some experiments on instability and tran sition. In addition a one-day mini-symposium was held to discuss 1 recent and planned experiments on turbulent flow over a backward facing step.

Author : David Ruelle
Publisher : World Scientific
ISBN 13 : 9789810223106
Total Pages : 496 pages
Book Rating : 4.02/5 ( download)

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Download or read book Turbulence, Strange Attractors, and Chaos written by David Ruelle and published by World Scientific. This book was released on 1995 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Lokenath Debnath
Publisher : Computational Mechanics
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.50/5 ( download)

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Download or read book Nonlinear Instability, Chaos and Turbulence written by Lokenath Debnath and published by Computational Mechanics. This book was released on 1998 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of research and research-expository articles written by leading experts who have made important contributions to the areas of non-linear instability, chaos and turbulence. It brings together developments in the theory and applications of the subjects and related topics which are likely to determine fruitful directions for further study and research. It is also intended as a reference guide for the readers interested in advance study and research in non-linear phenomena.

Author : Michail Zak
Publisher : Springer Science & Business Media
ISBN 13 : 3540691219
Total Pages : 559 pages
Book Rating : 4.11/5 ( download)

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Download or read book From Instability to Intelligence written by Michail Zak and published by Springer Science & Business Media. This book was released on 2008-12-11 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Paul Manneville
Publisher :
ISBN 13 : 9781848163942
Total Pages : pages
Book Rating : 4.40/5 ( download)

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Download or read book Instabilities, Chaos and Turbulence written by Paul Manneville and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: