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Author : Robert Eugene Benner
Publisher :
ISBN 13 :
Total Pages : 470 pages
Book Rating : 4.:/5 (319 download)
Download or read book Equilibria, Stability and Bifurcations in the Physics of Fluid Interfaces written by Robert Eugene Benner and published by . This book was released on 1983 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : D. D. Joseph
Publisher : Springer Science & Business Media
ISBN 13 : 3642809944
Total Pages : 290 pages
Book Rating : 4.6/5 (428 download)
Download or read book Stability of Fluid Motions II written by D. D. Joseph and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of stability aims at understanding the abrupt changes which are observed in fluid motions as the external parameters are varied. It is a demanding study, far from full grown, whose most interesting conclusions are recent. I have written a detailed account of those parts of the recent theory which I regard as established. Acknowledgements I started writing this book in 1967 at the invitation of Clifford Truesdell. It was to be a short work on the energy theory of stability and if I had stuck to that I would have finished the writing many years ago. The theory of stability has developed so rapidly since 1967 that the book I might then have written would now have a much too limited scope. I am grateful to Truesdell, not so much for the invitation to spend endless hours of writing and erasing, but for the generous way he has supported my efforts and encouraged me to higher standards of good work. I have tried to follow Truesdell's advice to write this work in a clear and uncomplicated style. This is not easy advice for a former sociologist to follow; if I have failed it is not due to a lack of urging by him or trying by me. My research during the years 1969-1970 was supported in part by a grant from the Guggenheim foundation to study in London.
Author : Albert C. J. Luo
Publisher : Springer Nature
ISBN 13 : 3030229106
Total Pages : 418 pages
Book Rating : 4.0/5 (32 download)
Download or read book Bifurcation and Stability in Nonlinear Dynamical Systems written by Albert C. J. Luo and published by Springer Nature. This book was released on 2020-01-30 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book systematically presents a fundamental theory for the local analysis of bifurcation and stability of equilibriums in nonlinear dynamical systems. Until now, one does not have any efficient way to investigate stability and bifurcation of dynamical systems with higher-order singularity equilibriums. For instance, infinite-equilibrium dynamical systems have higher-order singularity, which dramatically changes dynamical behaviors and possesses the similar characteristics of discontinuous dynamical systems. The stability and bifurcation of equilibriums on the specific eigenvector are presented, and the spiral stability and Hopf bifurcation of equilibriums in nonlinear systems are presented through the Fourier series transformation. The bifurcation and stability of higher-order singularity equilibriums are presented through the (2m)th and (2m+1)th -degree polynomial systems. From local analysis, dynamics of infinite-equilibrium systems is discussed. The research on infinite-equilibrium systems will bring us to the new era of dynamical systems and control. Presents an efficient way to investigate stability and bifurcation of dynamical systems with higher-order singularity equilibriums; Discusses dynamics of infinite-equilibrium systems; Demonstrates higher-order singularity.
Author : Rüdiger U. Seydel
Publisher : Springer Science & Business Media
ISBN 13 : 1441917403
Total Pages : 493 pages
Book Rating : 4.4/5 (419 download)
Download or read book Practical Bifurcation and Stability Analysis written by Rüdiger U. Seydel and published by Springer Science & Business Media. This book was released on 2009-11-27 with total page 493 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probably the first book to describe computational methods for numerically computing steady state and Hopf bifurcations. Requiring only a basic knowledge of calculus, and using detailed examples, problems, and figures, this is an ideal textbook for graduate students.
Author : Robert W. Numrich
Publisher : Springer Science & Business Media
ISBN 13 : 146132503X
Total Pages : 305 pages
Book Rating : 4.4/5 (613 download)
Download or read book Supercomputer Applications written by Robert W. Numrich and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the past three years, Control Data has cosponsored an applications symposium at one of its CYBER 205 customer sites. Approximately 125 participants from North America and Europe attended each of the three symposia. The Institute for Computational Studies at Colorado State University hosted the first symposium at Fort Collins, Colorado, August 12-13, 1982. The second annual symposium took place in Lanham, Maryland, and was hosted by the NASA Goddard Space Flight Center. This volume contains the proceedings of the Supercomputer Applications symposium held October 31-November 1, 1984, at Purdue University, West Lafayette, Indiana. The purpose of this volume is to provide a forum for users of Control Data's CYBER 205 supercomputer to exchange common experiences and to discuss results of research projects performed on the computer. The unifying theme across the many disciplines is the development of methods and techniques to exploit the computational power of the CYBER 205. Some what surprisingly, these techniques are quite similar and apply to a wide range of problems in physics, chemistry, and engineering.
Author : D. D. Joseph
Publisher : Springer
ISBN 13 :
Total Pages : 302 pages
Book Rating : 4.F/5 ( download)
Download or read book Stability of Fluid Motions II written by D. D. Joseph and published by Springer. This book was released on 1976-09 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of stability aims at understanding the abrupt changes which are observed in fluid motions as the external parameters are varied. It is a demanding study, far from full grown, whose most interesting conclusions are recent. I have written a detailed account of those parts of the recent theory which I regard as established. Acknowledgements I started writing this book in 1967 at the invitation of Clifford Truesdell. It was to be a short work on the energy theory of stability and if I had stuck to that I would have finished the writing many years ago. The theory of stability has developed so rapidly since 1967 that the book I might then have written would now have a much too limited scope. I am grateful to Truesdell, not so much for the invitation to spend endless hours of writing and erasing, but for the generous way he has supported my efforts and encouraged me to higher standards of good work. I have tried to follow Truesdell's advice to write this work in a clear and uncomplicated style. This is not easy advice for a former sociologist to follow; if I have failed it is not due to a lack of urging by him or trying by me. My research during the years 1969-1970 was supported in part by a grant from the Guggenheim foundation to study in London.
Author : G. Iooss
Publisher : Springer Science & Business Media
ISBN 13 : 1468493361
Total Pages : 300 pages
Book Rating : 4.4/5 (684 download)
Download or read book Elementary Stability and Bifurcation Theory written by G. Iooss and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: In its most general form bifurcation theory is a theory of equilibrium solutions of nonlinear equations. By equilibrium solutions we mean, for example, steady solutions, time-periodic solutions, and quasi-periodic solutions. The purpose of this book is to teach the theory of bifurcation of equilibrium solutions of evolution problems governed by nonlinear differential equations. We have written this book for the broaqest audience of potentially interested learners: engineers, biologists, chemists, physicists, mathematicians, econom ists, and others whose work involves understanding equilibrium solutions of nonlinear differential equations. To accomplish our aims, we have thought it necessary to make the analysis 1. general enough to apply to the huge variety of applications which arise in science and technology, and 2. simple enough so that it can be understood by persons whose mathe matical training does not extend beyond the classical methods of analysis which were popular in the 19th Century. Of course, it is not possible to achieve generality and simplicity in a perfect union but, in fact, the general theory is simpler than the detailed theory required for particular applications. The general theory abstracts from the detailed problems only the essential features and provides the student with the skeleton on which detailed structures of the applications must rest. It is generally believed that the mathematical theory of bifurcation requires some functional analysis and some of the methods of topology and dynamics.
Author : Daniel D. Joseph
Publisher : Springer Science & Business Media
ISBN 13 : 1461392934
Total Pages : 489 pages
Book Rating : 4.4/5 (613 download)
Download or read book Fundamentals of Two-Fluid Dynamics written by Daniel D. Joseph and published by Springer Science & Business Media. This book was released on 2013-11-21 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two-fluid dynamics is a challenging subject rich in physics and prac tical applications. Many of the most interesting problems are tied to the loss of stability which is realized in preferential positioning and shaping of the interface, so that interfacial stability is a major player in this drama. Typically, solutions of equations governing the dynamics of two fluids are not uniquely determined by the boundary data and different configurations of flow are compatible with the same data. This is one reason why stability studies are important; we need to know which of the possible solutions are stable to predict what might be observed. When we started our studies in the early 1980's, it was not at all evident that stability theory could actu ally work in the hostile environment of pervasive nonuniqueness. We were pleasantly surprised, even astounded, by the extent to which it does work. There are many simple solutions, called basic flows, which are never stable, but we may always compute growth rates and determine the wavelength and frequency of the unstable mode which grows the fastest. This proce dure appears to work well even in deeply nonlinear regimes where linear theory is not strictly valid, just as Lord Rayleigh showed long ago in his calculation of the size of drops resulting from capillary-induced pinch-off of an inviscid jet.
Author : David H. Sattinger
Publisher : Springer
ISBN 13 : 3540383336
Total Pages : 197 pages
Book Rating : 4.5/5 (43 download)
Download or read book Topics in Stability and Bifurcation Theory written by David H. Sattinger and published by Springer. This book was released on 2006-11-15 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 404 pages
Book Rating : 4.0/5 ( download)
Download or read book Energy Research Abstracts written by and published by . This book was released on 1992 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Society for Industrial and Applied Mathematics
Publisher :
ISBN 13 :
Total Pages : 704 pages
Book Rating : 4.3/5 (91 download)
Download or read book SIAM Journal on Scientific and Statistical Computing written by Society for Industrial and Applied Mathematics and published by . This book was released on 1987 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : D. D. Joseph
Publisher : Springer Science & Business Media
ISBN 13 : 364280991X
Total Pages : 295 pages
Book Rating : 4.6/5 (428 download)
Download or read book Stability of Fluid Motions I written by D. D. Joseph and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of stability aims at understanding the abrupt changes which are observed in fluid motions as the external parameters are varied. It is a demanding study, far from full grown"whose most interesting conclusions are recent. I have written a detailed account of those parts of the recent theory which I regard as established. Acknowledgements I started writing this book in 1967 at the invitation of Clifford Truesdell. It was to be a short work on the energy theory of stability and if I had stuck to that I would have finished the writing many years ago. The theory of stability has developed so rapidly since 1967 that the book I might then have written would now have a much too limited scope. I am grateful to Truesdell, not so much for the invitation to spend endless hours of writing and erasing, but for the generous way he has supported my efforts and encouraged me to higher standards of good work. I have tried to follow Truesdell's advice to write this work in a clear and uncomplicated style. This is not easy advice for a former sociologist to follow; if I have failed it is not due to a lack of urging by him or trying by me. My research during the years 1969-1970 was supported in part by a grant from the Guggenheim foundation to study in London.
Author : Gerard Iooss
Publisher : Springer Science & Business Media
ISBN 13 : 1461209978
Total Pages : 347 pages
Book Rating : 4.4/5 (612 download)
Download or read book Elementary Stability and Bifurcation Theory written by Gerard Iooss and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This substantially revised second edition teaches the bifurcation of asymptotic solutions to evolution problems governed by nonlinear differential equations. Written not just for mathematicians, it appeals to the widest audience of learners, including engineers, biologists, chemists, physicists and economists. For this reason, it uses only well-known methods of classical analysis at foundation level, while the applications and examples are specially chosen to be as varied as possible.
Author : Rüdiger Seydel
Publisher : Elsevier Publishing Company
ISBN 13 :
Total Pages : 392 pages
Book Rating : 4.:/5 (319 download)
Download or read book From Equilibrium to Chaos written by Rüdiger Seydel and published by Elsevier Publishing Company. This book was released on 1988 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 864 pages
Book Rating : 4.0/5 ( download)
Download or read book Numerical Methods in Laminar and Turbulent Flow written by and published by . This book was released on 1985 with total page 864 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 652 pages
Book Rating : 4.:/5 (31 download)
Download or read book ERDA Energy Research Abstracts written by and published by . This book was released on 1987 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Andreas G. Boudouvis
Publisher :
ISBN 13 :
Total Pages : 748 pages
Book Rating : 4.:/5 (319 download)
Download or read book Mechanisms of Surface Instabilities and Pattern Formation in Ferromagnetic Liquids written by Andreas G. Boudouvis and published by . This book was released on 1987 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt:
