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Bifurcation Theory And Nonlinear Eigenvalue
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Book Synopsis Bifurcation Theory and Nonlinear Eigenvalue Problems by : Courant Institute of Mathematical Sciences
Download or read book Bifurcation Theory and Nonlinear Eigenvalue Problems written by Courant Institute of Mathematical Sciences and published by . This book was released on 1969 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bifurcation Theory and Nonlinear Eigenvalue Problems by : Joseph B. Keller
Download or read book Bifurcation Theory and Nonlinear Eigenvalue Problems written by Joseph B. Keller and published by . This book was released on 1969 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bifurcation and Nonlinear Eigenvalue Problems by : C. Bardos
Download or read book Bifurcation and Nonlinear Eigenvalue Problems written by C. Bardos and published by Springer. This book was released on 2006-11-14 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bifurcation Theory and Nonlinear Eigenvalue Problems by : Joseph B. Keller
Download or read book Bifurcation Theory and Nonlinear Eigenvalue Problems written by Joseph B. Keller and published by . This book was released on 1969 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bifurcation and Nonlinear Eigenvalue Problems by : Claude Bardos
Download or read book Bifurcation and Nonlinear Eigenvalue Problems written by Claude Bardos and published by . This book was released on 2014-01-15 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bifurcation and Nonlinear Eigenvalue Problems by : Claude Bardos
Download or read book Bifurcation and Nonlinear Eigenvalue Problems written by Claude Bardos and published by . This book was released on 1980 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bifurcation and Nonlinear Eigenvalue Problems by :
Download or read book Bifurcation and Nonlinear Eigenvalue Problems written by and published by . This book was released on 1980 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bifurcation Theory and Nonlinear Eigenvalue by : Joseph B. Keller
Download or read book Bifurcation Theory and Nonlinear Eigenvalue written by Joseph B. Keller and published by . This book was released on 1968 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bifurcation Theory and Nonlinear Eigenvalue Problem by : Joseph Bishop Keller
Download or read book Bifurcation Theory and Nonlinear Eigenvalue Problem written by Joseph Bishop Keller and published by . This book was released on 1968 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bifurcation Theory and Nonlinear Eigenvalue Problems Held During 1966-67 by : Stuart S. Antman
Download or read book Bifurcation Theory and Nonlinear Eigenvalue Problems Held During 1966-67 written by Stuart S. Antman and published by . This book was released on 1969 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Nonlinear Stability and Bifurcation Theory by : Hans Troger
Download or read book Nonlinear Stability and Bifurcation Theory written by Hans Troger and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every student in engineering or in other fields of the applied sciences who has passed through his curriculum knows that the treatment of nonlin ear problems has been either avoided completely or is confined to special courses where a great number of different ad-hoc methods are presented. The wide-spread believe that no straightforward solution procedures for nonlinear problems are available prevails even today in engineering cir cles. Though in some courses it is indicated that in principle nonlinear problems are solveable by numerical methods the treatment of nonlinear problems, more or less, is considered to be an art or an intellectual game. A good example for this statement was the search for Ljapunov functions for nonlinear stability problems in the seventies. However things have changed. At the beginning of the seventies, start ing with the work of V.1. Arnold, R. Thom and many others, new ideas which, however, have their origin in the work of H. Poincare and A. A. Andronov, in the treatment of nonlinear problems appeared. These ideas gave birth to the term Bifurcation Theory. Bifurcation theory allows to solve a great class of nonlinear problems under variation of parameters in a straightforward manner.
Book Synopsis BIFURCATION THEORY AND NONLINEAR EIGENVALUE PROBLEMS- BASED ON LECTURE NOTES FROM A SEMINAR HELD 1966-67 by :
Download or read book BIFURCATION THEORY AND NONLINEAR EIGENVALUE PROBLEMS- BASED ON LECTURE NOTES FROM A SEMINAR HELD 1966-67 written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bifurcation and Nonlinear Eigenvalue Problems by : Claude Bardos
Download or read book Bifurcation and Nonlinear Eigenvalue Problems written by Claude Bardos and published by . This book was released on 1980 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bifurcation Theory and Nonlinear Eigenvalue and Stuart Antman by : Joseph B. Keller
Download or read book Bifurcation Theory and Nonlinear Eigenvalue and Stuart Antman written by Joseph B. Keller and published by . This book was released on 1968 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topics in Bifurcation Theory and Applications by : Grard Iooss
Download or read book Topics in Bifurcation Theory and Applications written by Grard Iooss and published by World Scientific. This book was released on 1998 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents the most efficient analytical techniques in the local bifurcation theory of vector fields. It is centered on the theory of normal forms and its applications, including interaction with symmetries. The first part of the book reviews the center manifold reduction and introduces normal forms (with complete proofs). Basic bifurcations are studied together with bifurcations in the presence of symmetries. Special attention is given to examples with reversible vector fields, including the physical example given by the water waves. In this second edition, many problems with detailed solutions are added at the end of the first part (some systems being in infinite dimensions). The second part deals with the Couette-Taylor hydrodynamical stability problem, between concentric rotating cylinders. The spatial structure of various steady or unsteady solutions results directly from the analysis of the reduced system on a center manifold. In this part we also study bifurcations (simple here) from group orbits of solutions in an elementary way (avoiding heavy algebra). The third part analyzes bifurcations from time periodic solutions of autonomous vector fields. A normal form theory is developed, covering all cases, and emphasizing a partial Floquet reduction theory, which is applicable in infinite dimensions. Studies of period doubling as well as Arnold's resonance tongues are included in this part.
Book Synopsis Methods of Bifurcation Theory by : S.-N. Chow
Download or read book Methods of Bifurcation Theory written by S.-N. Chow and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: An alternative title for this book would perhaps be Nonlinear Analysis, Bifurcation Theory and Differential Equations. Our primary objective is to discuss those aspects of bifurcation theory which are particularly meaningful to differential equations. To accomplish this objective and to make the book accessible to a wider we have presented in detail much of the relevant background audience, material from nonlinear functional analysis and the qualitative theory of differential equations. Since there is no good reference for some of the mate rial, its inclusion seemed necessary. Two distinct aspects of bifurcation theory are discussed-static and dynamic. Static bifurcation theory is concerned with the changes that occur in the structure of the set of zeros of a function as parameters in the function are varied. If the function is a gradient, then variational techniques play an important role and can be employed effectively even for global problems. If the function is not a gradient or if more detailed information is desired, the general theory is usually local. At the same time, the theory is constructive and valid when several independent parameters appear in the function. In differential equations, the equilibrium solutions are the zeros of the vector field. Therefore, methods in static bifurcation theory are directly applicable.
Book Synopsis Elementary Stability and Bifurcation Theory by : G. Iooss
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.
