Dynamical Systems VII, V.I. Arnol`d; A.T. Fomenko; A.G. Reyman; S.P. Novi

Автор: Wiggins
Название: Introduction to Applied Nonlinear Dynamical Systems and Chaos
ISBN: 0387001778 ISBN-13(EAN): 9780387001777
Издательство: Springer
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Цена: 93160.00 T
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Описание: This volume is intended for advanced undergraduate or first-year graduate students as an introduction to applied nonlinear dynamics and chaos. The author has placed emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about the behavior of these systems. He has included the basic core material that is necessary for higher levels of study and research. Thus, people who do not necessarily have an extensive mathematical background, such as students in engineering, physics, chemistry, and biology, will find this text as useful as students of mathematics. This new edition contains extensive new material on invariant manifold theory and normal forms (in particular, Hamiltonian normal forms and the role of symmetry). Lagrangian, Hamiltonian, gradient, and reversible dynamical systems are also discussed. Elementary Hamiltonian bifurcations are covered, as well as the basic properties of circle maps. The book contains an extensive bibliography as well as a detailed glossary of terms, making it a comprehensive book on applied nonlinear dynamical systems from a geometrical and analytical point of view.

Автор: Carvalho
Название: Attractors for infinite-dimensional non-autonomous dynamical systems
ISBN: 1461445809 ISBN-13(EAN): 9781461445807
Издательство: Springer
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Цена: 102480.00 T
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Описание: The book treats the theory of attractors for non-autonomous dynamical systems. The aim of the book is to give a coherent account of the current state of the theory, using the framework of processes to impose the minimum of restrictions on the nature of the non-autonomous dependence. The book is intended as an up-to-date summary of the field, but much of it will be accessible to beginning graduate students. Clear indications will be given as to which material is fundamental and which is more advanced, so that those new to the area can quickly obtain an overview, while those already involved can pursue the topics we cover more deeply.

Автор: Guckenheimer John, Holmes Philip
Название: Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
ISBN: 0387908196 ISBN-13(EAN): 9780387908199
Издательство: Springer
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Цена: 121110.00 T
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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

Автор: Sanders J. A., Verhulst F., Murdock J.
Название: Averaging Methods in Nonlinear Dynamical Systems
ISBN: 0387489169 ISBN-13(EAN): 9780387489162
Издательство: Springer
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Цена: 111790.00 T
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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: Stephen Wiggins
Название: Chaotic Transport in Dynamical Systems
ISBN: 0387975225 ISBN-13(EAN): 9780387975221
Издательство: Springer
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Цена: 139750.00 T
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Описание: Illustrating phase space transport problems arising in a variety of applications that can be modeled as time-periodic perturbations of planar Hamiltonian systems, the book begins with the study of transport in the associated two-dimensional Poincare Map.

Автор: V.I. Arnol`d; A.T. Fomenko; A.G. Reyman; S.P. Novi
Название: Dynamical Systems VII
ISBN: 3642057381 ISBN-13(EAN): 9783642057380
Издательство: Springer
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Цена: 153720.00 T
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Описание: A collection of five surveys on dynamical systems, indispensable for graduate students and researchers in mathematics and theoretical physics. Written in the modern language of differential geometry, the book covers all the new differential geometric and Lie-algebraic methods currently used in the theory of integrable systems.

Автор: H.-O. Peitgen
Название: Newton`s Method and Dynamical Systems
ISBN: 0792301137 ISBN-13(EAN): 9780792301134
Издательство: Springer
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Цена: 176970.00 T
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Автор: D. A. Rand; L.-S. Young
Название: Dynamical Systems and Turbulence, Warwick 1980
ISBN: 3540111719 ISBN-13(EAN): 9783540111719
Издательство: Springer
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Цена: 37220.00 T
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Автор: Michel Coornaert
Название: Topological Dimension and Dynamical Systems
ISBN: 3319197932 ISBN-13(EAN): 9783319197937
Издательство: Springer
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Цена: 46570.00 T
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Описание: Translated from the popular French edition, the goal of the book is to provide a self-contained introduction to mean topological dimension, an invariant of dynamical systems introduced in 1999 by Misha Gromov.

Автор: Hendrik W. Broer; George B. Huitema; Mikhail B. Se
Название: Quasi-Periodic Motions in Families of Dynamical Systems
ISBN: 3540620257 ISBN-13(EAN): 9783540620259
Издательство: Springer
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Цена: 41880.00 T
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Описание: This book is devoted to the phenomenon of quasi-periodic motion in dynamical systems. On the one hand, Hamiltonian systems occur that are in complete order: these are the integrable systems where all motion is confined to invariant tori.

Автор: Martine Queff?lec
Название: Substitution Dynamical Systems - Spectral Analysis
ISBN: 3642112110 ISBN-13(EAN): 9783642112119
Издательство: Springer
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Цена: 65170.00 T
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Описание: This volume mainly deals with the dynamics of finitely valued sequences, and more specifically, of sequences generated by substitutions and automata. Many readers will benefit from the introductory chapters on the spectral theory of dynamical systems.

Автор: Henk Nijmeijer; Arjan van der Schaft
Название: Nonlinear Dynamical Control Systems
ISBN: 1441930914 ISBN-13(EAN): 9781441930910
Издательство: Springer
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Цена: 87060.00 T
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Описание: This volume deals with controllability and observability properties of nonlinear systems, as well as various ways to obtain input-output representations. The emphasis is on fundamental notions as (controlled) invariant distributions and submanifolds, together with algorithms to compute the required feedbacks.