Автор: Sanders J. A., Verhulst F., Murdock J. Название: Averaging Methods in Nonlinear Dynamical Systems ISBN: 0387489169 ISBN-13(EAN): 9780387489162 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Perturbation theory and in particular normal form theory has shown strong growth during the last decades. So it is not surprising that the authors have presented an extensive revision of the first edition of the Averaging Methods in Nonlinear Dynamical Systems book. There are many changes, corrections and updates in chapters on Basic Material and Asymptotics, Averaging, and Attraction. Chapters on Periodic Averaging and Hyperbolicity, Classical (first level) Normal Form Theory, Nilpotent (classical) Normal Form, and Higher Level Normal Form Theory are entirely new and represent new insights in averaging, in particular its relation with dynamical systems and the theory of normal forms. Also new are surveys on invariant manifolds in Appendix C and averaging for PDEs in Appendix E. Since the first edition, the book has expanded in length and the third author, James Murdock has been added.Review of First Edition"One of the most striking features of the book is the nice collection of examples, which range from the very simple to some that are elaborate, realistic, and of considerable practical importance. Most of them are presented in careful detail and are illustrated with profuse, illuminating diagrams." - Mathematical Reviews
Автор: Shu-Jun Liu; Miroslav Krstic Название: Stochastic Averaging and Stochastic Extremum Seeking ISBN: 1447161858 ISBN-13(EAN): 9781447161851 Издательство: Springer Рейтинг: Цена: 15672.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book develops stochastic averaging theorems and stochastic extremum-seeking algrithms, illustrating their use in a variety of models. Includes simulation examples based in bacterial locomotion, multi-agent robotic systems, and economic market models.
Автор: N.S. Bakhvalov; G. Panasenko Название: Homogenisation: Averaging Processes in Periodic Media ISBN: 0792300491 ISBN-13(EAN): 9780792300496 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: si j`avait su comment en revenir, One service mathematics has rendered the je n`y semis point all,,: human race. Applying a simple rewriting rule to the quote on the right above one finds such statements as: `One service topology has rendered mathematical physics .. `One service category theory has rendered mathematics ..
Автор: N.S. Bakhvalov; G. Panasenko Название: Homogenisation: Averaging Processes in Periodic Media ISBN: 9401075069 ISBN-13(EAN): 9789401075060 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: si j`avait su comment en revenir, One service mathematics has rendered the je n`y semis point all,,: human race. Applying a simple rewriting rule to the quote on the right above one finds such statements as: `One service topology has rendered mathematical physics .. `One service category theory has rendered mathematics ..
Автор: Klaus Ritter Название: Average-Case Analysis of Numerical Problems ISBN: 3540674497 ISBN-13(EAN): 9783540674498 Издательство: Springer Рейтинг: Цена: 6282.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The problems under consideration in this textbook include approximation/optimal recovery and numerical integration of univariate and multivariate functions, as well as zero-finding and global optimization. The analysis of average error and cost provide new insight on numerical problems .
Автор: M.M. Hapaev Название: Averaging in Stability Theory ISBN: 9401051682 ISBN-13(EAN): 9789401051682 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Jan A. Sanders; Ferdinand Verhulst; James Murdock Название: Averaging Methods in Nonlinear Dynamical Systems ISBN: 1441923764 ISBN-13(EAN): 9781441923769 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Perturbation theory and in particular normal form theory has shown strong growth in recent decades. This book is a revision of the first edition of the averaging book. Updated chapters represent new insights in averaging and offer an effective entrance into this topic.
Автор: P. Lochak; H.S. Dumas; C. Meunier Название: Multiphase Averaging for Classical Systems ISBN: 0387967788 ISBN-13(EAN): 9780387967783 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In the past several decades many significant results in averaging for systems of ODE`s have been obtained.
Автор: Nam P. Bhatia; George P. Szeg? Название: Dynamical Systems: Stability Theory and Applications ISBN: 3540039066 ISBN-13(EAN): 9783540039068 Издательство: Springer Рейтинг: Цена: 6282.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Gerard Iooss; Daniel D. Joseph Название: Elementary Stability and Bifurcation Theory ISBN: 0387970681 ISBN-13(EAN): 9780387970684 Издательство: Springer Рейтинг: Цена: 10335.00 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: Nicolas Rouche; P. Habets; M. Laloy Название: Stability Theory by Liapunov`s Direct Method ISBN: 0387902589 ISBN-13(EAN): 9780387902586 Издательство: Springer Рейтинг: Цена: 6008.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: We concentrate our efforts on this method, not because we underrate those which appear more powerful in some circumstances, but because it is important enough, along with its modern developments, to justify the writing of an up-to-date monograph.
Автор: Martynyuk Название: Stability Theory for Dynamic Equations on Time Scales ISBN: 331942212X ISBN-13(EAN): 9783319422121 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This monograph is a first in the world to present three approaches for stability analysis of solutions of dynamic equations. The first approach is based on the application of dynamic integral inequalities and the fundamental matrix of solutions of linear approximation of dynamic equations. The second is based on the generalization of the direct Lyapunovs method for equations on time scales, using scalar, vector and matrix-valued auxiliary functions. The third approach is the application of auxiliary functions (scalar, vector, or matrix-valued ones) in combination with differential dynamic inequalities. This is an alternative comparison method, developed for time continuous and time discrete systems.
In recent decades, automatic control theory in the study of air- and spacecraft dynamics and in other areas of modern applied mathematics has encountered problems in the analysis of the behavior of solutions of time continuous-discrete linear and/or nonlinear equations of perturbed motion.
In the book “Men of Mathematics,” 1937, E.T.Bell wrote: “A major task of mathematics today is to harmonize the continuous and the discrete, to include them in one comprehensive mathematics, and to eliminate obscurity from both.”
Mathematical analysis on time scales accomplishes exactly this.
This research has potential applications in such areas as theoretical and applied mechanics, neurodynamics, mathematical biology and finance among others.
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