Elementary Stability and Bifurcation Theory, Gerard Iooss; Daniel D. Joseph
Автор: Hans Troger; Alois Steindl Название: Nonlinear Stability and Bifurcation Theory ISBN: 3211822925 ISBN-13(EAN): 9783211822920 Издательство: Springer Рейтинг: Цена: 11398.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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.
Автор: Seydel, Rudiger Название: Practical bifurcation and stability analysis ISBN: 144191739X ISBN-13(EAN): 9781441917393 Издательство: Springer Рейтинг: Цена: 10366.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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.
Автор: Golubitsky, Schaffer, Название: Singularities and groups in bifurcation theory ISBN: 0387966528 ISBN-13(EAN): 9780387966526 Издательство: Springer Рейтинг: Цена: 15855.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: David H. Sattinger; P. Olver Название: Group Theoretic Methods in Bifurcation Theory ISBN: 3540097155 ISBN-13(EAN): 9783540097150 Издательство: Springer Рейтинг: Цена: 5487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: V. Gaiko Название: Global Bifurcation Theory and Hilbert`s Sixteenth Problem ISBN: 1461348196 ISBN-13(EAN): 9781461348191 Издательство: Springer Рейтинг: Цена: 6097.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: On the 8th of August 1900 outstanding German mathematician David Hilbert delivered a talk "Mathematical problems" at the Second Interna- tional Congress of Mathematicians in Paris. Lyapunov set forth and solved completely in the very wide class of cases a special problem of the qualitative theory: the problem of motion stability (154].
Автор: Martin Golubitsky; David G. Schaeffer Название: Singularities and Groups in Bifurcation Theory ISBN: 1461295335 ISBN-13(EAN): 9781461295334 Издательство: Springer Рейтинг: Цена: 21953.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book has been written in a frankly partisian spirit-we believe that singularity theory offers an extremely useful approach to bifurcation prob- lems and we hope to convert the reader to this view.
Автор: C.P. Bruter; A. Aragnol; A. Lichnorowicz Название: Bifurcation Theory, Mechanics and Physics ISBN: 9027716315 ISBN-13(EAN): 9789027716316 Издательство: Springer Рейтинг: Цена: 13415.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume presents the proceedings of a colloquium inspired by the former President of the French Mathematical Society, Michel Herve. The aim was to promote the development of mathematics through applications. Since the ancient supports the new, it seemed appropriate to center the theoretical conferences on new subjects. Since the world is movement and creation, the theoretical conferences were planned on mechanics (movement) and bifurcation theory (creation). Five aspects of mechanics were to be presented, but, unfortunately, it has not been possible to include the statis- tical mechanics aspect. So that only four aspects are presented: Classical mechanics (Hamiltonian, Lagrangian, Poisson) (W.N. Tulczyjew, J .E. l-lhite, C.M. MarIe). - Quantum mechanics (in particular the passage from the classi- cal to the quantum approach and the problem of finding the explicit solution of Schrodinger's equation)(M. Cahen and S. Gutt, J. Leray). Fluid mechanics (meaning problems involving partial differ- ential equations. One of the speakers we hoped would attend the conference was in Japan at the time, however his lecture is presented in these proceedings.) (J.F. Pommaret, H.I-l. Shi) - Mathematical "information" theory (S. Guiasll) Traditional physical arguments are characterized by their great homogeneity, and mathematically expressed by the compactness prop- erty. In such cases, there is a kind of duality between locality and globality, which allows the use of the infinitesimal in global considerations.
Автор: David H. Sattinger Название: Topics in Stability and Bifurcation Theory ISBN: 3540061339 ISBN-13(EAN): 9783540061335 Издательство: Springer Рейтинг: Цена: 3043.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Q.S. Nguyen Название: Bifurcation and Stability of Dissipative Systems ISBN: 3211824375 ISBN-13(EAN): 9783211824375 Издательство: Springer Рейтинг: Цена: 10610.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The first theme concerns the plastic buckling of structures in the spirit of Hill`s classical approach. In brittle fracture or brittle damage, the evolution law of crack lengths or damage parameters is time-independent like in plasticity and leads to a similar mathematical description of the quasi-static evolution.
Автор: R?diger U. Seydel Название: Practical Bifurcation and Stability Analysis ISBN: 1461425301 ISBN-13(EAN): 9781461425304 Издательство: Springer Рейтинг: Цена: 7927.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Fifteen years have elapsed after the second edition of Practical Bifurcation and Stability Analysis was published. During that time period the ?eld of computational bifurcation has become mature. Today, bifurcation mec- nisms are widely accepted as decisive phenomena for explaining and - derstanding stability and structural change. Along with the high level of sophistication that bifurcation analysis has reached, the research on basic computational bifurcation algorithms is essentially completed, at least in - dinary di?erential equations. The focus has been shifting from mathematical foundations towards applications. The evolution from equilibrium to chaos has become commonplace and is no longer at the cutting edge of innovation. But the corresponding methods of practical bifurcation and stability analysis remain indispensable instruments in all applications of mathematics. This constant need for practical bifur- tion and stability analysis has stimulated an e?ort to maintain this book on a present-day level. The author's endeavor has resulted in this third edition. It is based on more than three decades of practical experience with the subject, and on many courses given at several universities.
Автор: Kuznetsov Yuri A. Название: Elements of Applied Bifurcation Theory ISBN: 0387219064 ISBN-13(EAN): 9780387219066 Издательство: Springer Рейтинг: Цена: 15855.00 р. Наличие на складе: Нет в наличии.
Описание: Explains the basic phenomena of bifurcation theory. This book provides a student or researcher with the basis in nonlinear dynamical systems and their bifurcations, giving them the necessary understanding of the approaches, methods, results and terminology used in the modern applied mathematics literature.
Автор: Gerard Iooss; Daniel D. Joseph Название: Elementary Stability and Bifurcation Theory ISBN: 0387970681 ISBN-13(EAN): 9780387970684 Издательство: Springer Рейтинг: Цена: 9020.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In its most general form bifurcation theory is a theory of asymptotic solutions of nonlinear equations. By asymptotic 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 asymptotic solutions of evolution problems governed by nonlinear differential equations. We have written this book for the broadest audience of potentially interested learners: engineers, biologists, chemists, physicists, mathematicians, economists, and others whose work involves understanding asymptotic 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 nineteenth 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. lt is generally believed that the mathematical theory of bifurcation requires some functional analysis and some ofthe methods of topology and dynamics.
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