Dynamical Systems on Surfaces, C. Godbillon; H.G. Helfenstein

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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Цена: 102480.00 T
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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.