Topics in Stability and Bifurcation Theory, David H. Sattinger
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: Richard H. Rand; Dieter Armbruster Название: Perturbation Methods, Bifurcation Theory and Computer Algebra ISBN: 0387965890 ISBN-13(EAN): 9780387965895 Издательство: Springer Рейтинг: Цена: 10610.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Perturbation methods have always been an important tool for treating nonlinear differential equations. Methods covered include: Lindstedt`s method, center manifolds, normal forms, two variable expansion method (method of multiple scales), averaging, Lie transforms and Liapunov-Schmidt reduction.
Описание: This book offers a theoretical foundation for the self-organization of hexagonal agglomeration patterns of industrial regions, surveying the bifurcations of economic geography models for a system of cities on a hexagonal lattice. Offers advice on application.
Автор: S.-N. Chow; J. K. Hale Название: Methods of Bifurcation Theory ISBN: 1461381614 ISBN-13(EAN): 9781461381617 Издательство: Springer Рейтинг: Цена: 10610.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: An alternative title for this book would perhaps be Nonlinear Analysis, Bifurcation Theory and Differential Equations. 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.
Автор: L. Salvadori Название: Bifurcation Theory and Applications ISBN: 3540129316 ISBN-13(EAN): 9783540129318 Издательство: Springer Рейтинг: Цена: 4263.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Gerard Iooss; Daniel D. Joseph Название: Elementary Stability and Bifurcation Theory ISBN: 1461269776 ISBN-13(EAN): 9781461269779 Издательство: Springer Рейтинг: Цена: 7317.00 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.
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: 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.
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