Nonlinear Instability Analysis, Chaos and Turbulence PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Nonlinear Instability Analysis, Chaos and Turbulence PDF full book. Access full book title Nonlinear Instability Analysis, Chaos and Turbulence by Lokenath Debnath. Download full books in PDF and EPUB format.
Author: Lokenath Debnath
Publisher:
ISBN: 9781853127311
Category :
Languages : en
Pages :
Get Book
Book Description
Author: Lokenath Debnath
Publisher:
ISBN: 9781853127311
Category :
Languages : en
Pages :
Get Book
Book Description
Author: Lokenath Debnath
Publisher: Computational Mechanics
ISBN:
Category : Chaotic behavior in systems
Languages : en
Pages : 432
Get Book
Book Description
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: 1848163924
Category : Science
Languages : en
Pages : 456
Get Book
Book Description
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: Y. H. Ichikawa
Publisher: Allied Publishers
ISBN: 9788177642346
Category : Chaotic behavior in systems
Languages : en
Pages : 360
Get Book
Book Description
Author: David Ruelle
Publisher: World Scientific
ISBN: 9789810223106
Category : Science
Languages : en
Pages : 496
Get Book
Book Description
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: Steven H. Strogatz
Publisher: CRC Press
ISBN: 0429961111
Category : Mathematics
Languages : en
Pages : 532
Get Book
Book Description
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
Author: M.Y. Hussaini
Publisher: Springer Science & Business Media
ISBN: 1461229561
Category : Science
Languages : en
Pages : 626
Get Book
Book Description
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: V.N Oraevsky
Publisher: Routledge
ISBN: 1351428209
Category : Science
Languages : en
Pages : 100
Get Book
Book Description
For the first time in a single book, Non-Linear Instabilities in Plasmas and Hydrodynamics presents the underlying physics of fast secondary instabilities. This exceptionally well-written, introductory book discusses the basic ideas of the physics of secondary or induced, nonlinear instabilities in wave-sustaining media. The authors, world-renowned experts in the field, have brought together the results of papers scattered throughout the literature to explain subjects as diverse as fluctuation chaos, wave-turbulent instabilities, vortex dynamos, beam-plasma interactions, plasma confinement, and the origins of typhoons in the Earth's atmosphere and magnetic fields in galaxies. Paving the way for new and exciting research in the future, this broad, interdisciplinary book enables a wide range of physicists to apply the concepts discussed to obtain new results in plasma physics, space physics, hydrodynamics, and geophysics.
Author: Michail Zak
Publisher: Springer Science & Business Media
ISBN: 3540691219
Category : Science
Languages : en
Pages : 559
Get Book
Book Description
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: Lokenath Debnath
Publisher: Computational Mechanics
ISBN:
Category : Science
Languages : en
Pages : 376
Get Book
Book Description
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.
