Darboux Transformations in Integrable Systems, Chaohao Gu; Anning Hu; Zixiang Zhou

Автор: N. J. Hitchin
Название: Integrable Systems
ISBN: 0199676771 ISBN-13(EAN): 9780199676774
Издательство: Oxford Academ
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Цена: 7839.00 р.
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Описание: Designed to give graduate students an understanding of integrable systems via the study of Riemann surfaces, loop groups, and twistors, this book has its origins in a lecture series given by the internationally renowned authors. Written in an accessible, informal style, it fills a gap in the existing literature.

Автор: Bolsinov
Название: Geometry and Dynamics of Integrable Systems
ISBN: 3319335022 ISBN-13(EAN): 9783319335025
Издательство: Springer
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Цена: 3492.00 р.
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Описание: Based on lectures given at an advanced course on integrable systems at the Centre de Recerca Matem?tica in Barcelona, these lecture notes address three major aspects of integrable systems: obstructions to integrability from differential Galois theory; the description of singularities of integrable systems on the basis of their relation to bi-Hamiltonian systems; and the generalization of integrable systems to the non-Hamiltonian settings. All three sections were written by top experts in their respective fields. Native to actual problem-solving challenges in mechanics, the topic of integrable systems is currently at the crossroads of several disciplines in pure and applied mathematics, and also has important interactions with physics. The study of integrable systems also actively employs methods from differential geometry. Moreover, it is extremely important in symplectic geometry and Hamiltonian dynamics, and has strong correlations with mathematical physics, Lie theory and algebraic geometry (including mirror symmetry). As such, the book will appeal to experts with a wide range of backgrounds.

Автор: Jurdjevic
Название: Optimal Control and Geometry: Integrable Systems
ISBN: 1107113881 ISBN-13(EAN): 9781107113886
Издательство: Cambridge Academ
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Цена: 12514.00 р.
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Описание: Blending theory and applications, this book is a vital resource for graduates and researchers. It offers a broad theoretic base, synthesising symplectic geometry and optimal control theory, essential for mechanical, geometric or space engineering problems. The theory is tested through challenging problems and is rich with fresh insights and ideas.

Автор: Richard H. Cushman; Larry M. Bates
Название: Global Aspects of Classical Integrable Systems
ISBN: 3034809174 ISBN-13(EAN): 9783034809177
Издательство: Springer
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Цена: 13275.00 р.
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Описание: This book gives a uniquely complete description of the geometry of the energy momentum mapping of five classical integrable systems: the 2-dimensional harmonic oscillator, the geodesic flow on the 3-sphere, the Euler top, the spherical pendulum and the Lagrange top.

Автор: Franchini, Fabio
Название: Introduction to integrable techniques for one-dimensional quantum systems
ISBN: 3319484869 ISBN-13(EAN): 9783319484860
Издательство: Springer
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Цена: 6986.00 р.
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Автор: Richard H. Cushman; Larry M. Bates
Название: Global Aspects of Classical Integrable Systems
ISBN: 3034898177 ISBN-13(EAN): 9783034898171
Издательство: Springer
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Цена: 9776.00 р.
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Описание: This book gives a complete global geometric description of the motion of the two di- mensional hannonic oscillator, the Kepler problem, the Euler top, the spherical pendulum and the Lagrange top.