The Space of Dynamical Systems with the C0-Topology, Sergei Yu. Pilyugin

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: 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: Xiang Zhang
Название: Integrability of Dynamical Systems: Algebra and Analysis
ISBN: 981104225X ISBN-13(EAN): 9789811042256
Издательство: Springer
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Описание: This is the first book to systematically state the fundamental theory of integrability and its development of ordinary differential equations with emphasis on the Darboux theory of integrability and local integrability together with their applications.

Автор: Klaus Schmidt
Название: Dynamical Systems of Algebraic Origin
ISBN: 3034899572 ISBN-13(EAN): 9783034899574
Издательство: Springer
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Цена: 74530.00 T
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Автор: K.J. Palmer
Название: Shadowing in Dynamical Systems
ISBN: 0792361792 ISBN-13(EAN): 9780792361794
Издательство: Springer
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Цена: 102480.00 T
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Описание: Develops the theory of hyperbolic sets, for diffeomorphisms and flows, with a focus on shadowing. This title is intended for research workers in dynamical systems but could also be used in an advanced graduate course taken by students familiar with calculus in Banach spaces and with the basic existence theory for ordinary differential equations.

Автор: James Robinson; Paul A. Glendinning
Название: From Finite to Infinite Dimensional Dynamical Systems
ISBN: 0792369769 ISBN-13(EAN): 9780792369769
Издательство: Springer
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Цена: 130430.00 T
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Описание: Proceedings of the NATO Advanced Study Institute, Cambridge, UK, 21 August-1 September 1995

Автор: D.V. Anosov; D.V. Anosov; E.R. Dawson; D. OShea; V
Название: Dynamical Systems I
ISBN: 3540170006 ISBN-13(EAN): 9783540170006
Издательство: Springer
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Цена: 130430.00 T
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Описание: Der erste Beitrag in diesem Band uber gewohnliche Differentialgleichungen von Arnol`d und Il`yashenko ist ein Meisterwerk der mathematischen Literatur. Er wird durch einen zweiten Beitrag uber glatte dynamische Systeme erganzt. Nicht nur Forscher sondern auch Studenten werden dieses Buch ausserst nutzlich finden.

Автор: V.I. Arnol`d; A.T. Fomenko; A.G. Reyman; S.P. Novi
Название: Dynamical Systems VII
ISBN: 3540181768 ISBN-13(EAN): 9783540181767
Издательство: Springer
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Цена: 153720.00 T
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Описание: Contains five surveys on dynamical systems. This book deals with nonholonomic mechanics and gives a treatment of the geometry of distributions and of variational problems with nonintegrable constraints. It uses modern language of differential geometry throughout the survey, allowing for a clear exposition of the work on nonholonomic problems.