Nonlinear Evolution Equations and Dynamical Systems, Sandra Carillo; Orlando Ragnisco
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
Описание: From the reviews: "This book is concerned with the application of methods from dynamical systems and bifurcation theories to the study of nonlinear oscillations. Chapter 1 provides a review of basic results in the theory of dynamical systems, covering both ordinary differential equations and discrete mappings. Chapter 2 presents 4 examples from nonlinear oscillations. Chapter 3 contains a discussion of the methods of local bifurcation theory for flows and maps, including center manifolds and normal forms. Chapter 4 develops analytical methods of averaging and perturbation theory. Close analysis of geometrically defined two-dimensional maps with complicated invariant sets is discussed in chapter 5. Chapter 6 covers global homoclinic and heteroclinic bifurcations. The final chapter shows how the global bifurcations reappear in degenerate local bifurcations and ends with several more models of physical problems which display these behaviors." #Book Review - Engineering Societies Library, New York#1 "An attempt to make research tools concerning `strange attractors' developed in the last 20 years available to applied scientists and to make clear to research mathematicians the needs in applied works. Emphasis on geometric and topological solutions of differential equations. Applications mainly drawn from nonlinear oscillations." #American Mathematical Monthly#2
Описание: On t.p. "[infinity]" appears as the infinity symbol.
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: Vladimir G. Makhankov; Oktay K. Pashaev Название: Nonlinear Evolution Equations and Dynamical Systems ISBN: 3540532943 ISBN-13(EAN): 9783540532941 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Proceedings of the 6th International Workshop, 16-26 July 1990, Dubna, USSR
Автор: Haddad, Wassim M. Chellaboina, Vijaysekhar Название: Nonlinear dynamical systems and control ISBN: 0691133298 ISBN-13(EAN): 9780691133294 Издательство: Wiley Рейтинг: Цена: 22493.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods. This graduate-level textbook is suitable for applied mathematicians, dynamical systems theorists, control theorists, and engineers.
Автор: Felix L. Chernous`ko; I. M. Ananievski; S. A. Resh Название: Control of Nonlinear Dynamical Systems ISBN: 3642089704 ISBN-13(EAN): 9783642089701 Издательство: Springer Рейтинг: Цена: 22201.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents a collection of new methods of control for complex dynamical systems, some of them developed by the authors in the past 15 years. Mechanical and electromechanical systems described by nonlinear Lagrange`s equations are considered.
Автор: Robert M. Conte; Antonio Maria Greco; Franco Magri Название: Direct and Inverse Methods in Nonlinear Evolution Equations ISBN: 3642057535 ISBN-13(EAN): 9783642057533 Издательство: Springer Рейтинг: Цена: 14365.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Those that are integrable provide various mathematical methods, presented by experts in this tutorial book, to find special analytic solutions to both integrable and partially integrable equations.
ООО "Логосфера " Тел:+7(495) 980-12-10 www.logobook.ru
