Integrability, Alexander Mikhailov

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.

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.

Автор: Alexander Mikhailov
Название: Integrability
ISBN: 3540881107 ISBN-13(EAN): 9783540881100
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.

Автор: A.K. Prykarpatsky; I.V. Mykytiuk
Название: Algebraic Integrability of Nonlinear Dynamical Systems on Manifolds
ISBN: 0792350901 ISBN-13(EAN): 9780792350903
Издательство: Springer
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Цена: 18167.00 р.
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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.

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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