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Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds, A.K. Prykarpatsky; I.V. Mykytiuk


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Автор: A.K. Prykarpatsky; I.V. Mykytiuk
Название:  Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds
ISBN: 9780792350903
Издательство: Springer
Классификация:



ISBN-10: 0792350901
Обложка/Формат: Hardcover
Страницы: 559
Вес: 0.96 кг.
Дата издания: 30.06.1998
Серия: Mathematics and Its Applications
Язык: English
Размер: 234 x 156 x 32
Основная тема: Physics
Подзаголовок: Classical and Quantum Aspects
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Provides a detailed exposition of modern Lie-algebraic theory of integrable nonlinear dynamic systems on manifolds and its applications to mathematical physics, classical mechanics and hydrodynamics. This book offers solutions to many quantization procedure problems. It is for graduate-level students, researchers and mathematical physicists.


Foundations of Hyperbolic Manifolds

Автор: Ratcliffe
Название: Foundations of Hyperbolic Manifolds
ISBN: 0387331972 ISBN-13(EAN): 9780387331973
Издательство: Springer
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Цена: 7680.00 р.
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Описание: This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. This book has been heavily class-tested and each chapter contains exercises and a section of historical remarks.

Nonlinear Dynamics  Integrability, Chaos and Patterns

Автор: Lakshmanan, Muthusamy, Rajaseekar, Shanmuganathan
Название: Nonlinear Dynamics Integrability, Chaos and Patterns
ISBN: 3642628729 ISBN-13(EAN): 9783642628726
Издательство: Springer
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Цена: 25149.00 р.
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Описание: Integrability, chaos and patterns are three of the most important concepts in nonlinear dynamics. These are covered in this book from fundamentals to recent developments. The book presents a self-contained treatment of the subject to suit the needs of students, teachers and researchers in physics, mathematics, engineering and applied sciences who wish to gain a broad knowledge of nonlinear dynamics. It describes fundamental concepts, theoretical procedures, experimental and numerical techniques and technological applications of nonlinear dynamics. Numerous examples and problems are included to facilitate the understanding of the concepts and procedures described. In addition to 16 chapters of main material, the book contains 10 appendices which present in-depth mathematical formulations involved in the analysis of various nonlinear systems.

Integrability of Nonlinear Systems

Автор: Yvette Kosmann-Schwarzbach; Basil Grammaticos; K.M
Название: Integrability of Nonlinear Systems
ISBN: 3642058353 ISBN-13(EAN): 9783642058356
Издательство: Springer
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Цена: 13059.00 р.
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Differential Equations - Geometry, Symmetries and Integrability

Автор: Boris Kruglikov; Valentin Lychagin; Eldar Straume
Название: Differential Equations - Geometry, Symmetries and Integrability
ISBN: 3642008720 ISBN-13(EAN): 9783642008726
Издательство: Springer
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Цена: 23058.00 р.
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Описание: The Abel Symposium 2008 focused on the modern theory of differential equations and their applications in geometry, mechanics, and mathematical physics. This title consists of original contributions and overview lectures of the participants of the Symposium. It includes papers that present the modern approach to this classical subject.

Differential Equations - Geometry, Symmetries and Integrability

Автор: Boris Kruglikov; Valentin Lychagin; Eldar Straume
Название: Differential Equations - Geometry, Symmetries and Integrability
ISBN: 3642269338 ISBN-13(EAN): 9783642269332
Издательство: Springer
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Цена: 23058.00 р.
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Описание: This book contains papers presented at the Abel Symposium 2008, which focused on the modern theory of differential equations and their applications in geometry, mechanics, and mathematical physics. It presents a modern approach to this classical subject.

Analysis for Diffusion Processes on Riemannian Manifolds

Автор: Wang Feng Yu
Название: Analysis for Diffusion Processes on Riemannian Manifolds
ISBN: 9814452645 ISBN-13(EAN): 9789814452649
Издательство: World Scientific Publishing
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Цена: 19800.00 р.
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Описание: Stochastic analysis on Riemannian manifolds without boundary has been well established. However, the analysis for reflecting diffusion processes and sub-elliptic diffusion processes is far from complete. This book contains recent advances in this direction along with new ideas and efficient arguments, which are crucial for further developments. Many results contained here (for example, the formula of the curvature using derivatives of the semigroup) are new among existing monographs even in the case without boundary.

Algebraic Integrability, Painlev? Geometry and Lie Algebras

Автор: Mark Adler; Pierre van Moerbeke; Pol Vanhaecke
Название: Algebraic Integrability, Painlev? Geometry and Lie Algebras
ISBN: 3642061281 ISBN-13(EAN): 9783642061288
Издательство: Springer
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Цена: 19564.00 р.
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Описание: In the early 70's and 80's the field of integrable systems was in its prime youth: results and ideas were mushrooming all over the world. It was during the roaring 70's and 80's that a first version of the book was born, based on our research and on lectures which each of us had given. We owe many ideas to our colleagues Teruhisa Matsusaka and David Mumford, and to our inspiring graduate students (Constantin Bechlivanidis, Luc Haine, Ahmed Lesfari, Andrew McDaniel, Luis Piovan and Pol Vanhaecke). As it stood, our first version lacked rigor and precision, was rough, dis- connected and incomplete. . . In the early 90's new problems appeared on the horizon and the project came to a complete standstill, ultimately con- fined to a floppy. A few years ago, under the impulse of Pol Vanhaecke, the project was revived and gained real momentum due to his insight, vision and determination. The leap from the old to the new version is gigantic. The book is designed as a teaching textbook and is aimed at a wide read- ership of mathematicians and physicists, graduate students and professionals.

Integrability

Автор: Alexander Mikhailov
Название: Integrability
ISBN: 3642099904 ISBN-13(EAN): 9783642099908
Издательство: Springer
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Цена: 11179.00 р.
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Описание: Integrable systems are used for a range of applications in modern theoretical and mathematical physics. This text presents various views on the definition of integrable systems and develops methods and tests for integrability based on those definitions.

Normally hyperbolic invariant manifolds in dynamical systems

Автор: Wiggins, Stephen
Название: Normally hyperbolic invariant manifolds in dynamical systems
ISBN: 1461287340 ISBN-13(EAN): 9781461287346
Издательство: Springer
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Цена: 11173.00 р.
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Описание: An important tool in these studies has been the theory of normally hyperbolic invariant manifolds and foliations of normally hyperbolic invariant manifolds.

Normally Hyperbolic Invariant Manifolds in Dynamical Systems

Автор: Stephen Wiggins; G. Haller; I. Mezic
Название: Normally Hyperbolic Invariant Manifolds in Dynamical Systems
ISBN: 038794205X ISBN-13(EAN): 9780387942056
Издательство: Springer
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Цена: 11173.00 р.
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Описание: An important tool in these studies has been the theory of normally hyperbolic invariant manifolds and foliations of normally hyperbolic invariant manifolds.

Nonlinear Analysis on Manifolds. Monge-Amp?re Equations

Автор: T. Aubin
Название: Nonlinear Analysis on Manifolds. Monge-Amp?re Equations
ISBN: 0387907041 ISBN-13(EAN): 9780387907048
Издательство: Springer
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Цена: 19564.00 р.
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Описание: On the other hand, geometric problems often lead to limiting cases of known problems in analysis, sometimes there is even more than one approach, and the already existing theoretical studies are inadequate to solve them.

Invariant Manifolds and Fibrations for Perturbed Nonlinear Schr?dinger Equations

Автор: Charles Li; Stephen Wiggins
Название: Invariant Manifolds and Fibrations for Perturbed Nonlinear Schr?dinger Equations
ISBN: 0387949259 ISBN-13(EAN): 9780387949253
Издательство: Springer
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Цена: 18167.00 р.
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Описание: In this monograph the authors present detailed and pedagogic proofs of persistence theorems for normally hyperbolic invariant manifolds and their stable and unstable manifolds for classes of perturbations of the NLS equation, as well as for the existence and persistence of fibrations of these invariant manifolds.


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