Автор: Yuri Fedorov; Valerij Vasilievich Kozlov Название: A Memoir on Integrable Systems ISBN: 3540590005 ISBN-13(EAN): 9783540590002 Издательство: Springer Рейтинг: Цена: 11872.00 р. Наличие на складе: Поставка под заказ.
Описание: This book considers the larger class of systems which are not (at least a priori) Hamiltonian but possess tensor invariants, in particular, an invariant measure.
Автор: Richard H. Cushman; Larry M. Bates Название: Global Aspects of Classical Integrable Systems ISBN: 3034898177 ISBN-13(EAN): 9783034898171 Издательство: Springer Рейтинг: Цена: 9776.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Jurdjevic Название: Optimal Control and Geometry: Integrable Systems ISBN: 1107113881 ISBN-13(EAN): 9781107113886 Издательство: Cambridge Academ Рейтинг: Цена: 12514.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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 Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: G.F. Helminck Название: Geometric and Quantum Aspects of Integrable Systems ISBN: 3662139308 ISBN-13(EAN): 9783662139301 Издательство: Springer Рейтинг: Цена: 15672.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The survey articles on integrable systems give a comprehensive survey of modern research in this area. Algebraic and geometric aspects are dealt with, as are non-linear equations, hierarchies of equations, and quantum groups.
Автор: Bolsinov Название: Geometry and Dynamics of Integrable Systems ISBN: 3319335022 ISBN-13(EAN): 9783319335025 Издательство: Springer Рейтинг: Цена: 3492.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Описание: This volume, based on the Fall 2010 MSRI program, includes review articles, research contributions on long-standing questions on universalities of Wigner matrices and beta-ensembles, and other core aspects of random matrix theory such as integrability and free probability theory.
Автор: Mikhael Balabane; Pierre Lochak; Catherine Sulem Название: Integrable Systems and Applications ISBN: 366213747X ISBN-13(EAN): 9783662137475 Издательство: Springer Рейтинг: Цена: 15672.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In this volume nonlinear systems related to integrable systems are studied. Lectures cover such topics as the application of integrable systems to the description of natural phenomena, the elaboration of perturbation theories, and the statistical mechanics of ensembles of objects obeying integrable equations. The more physical lectures center largely around the three paradigmatic equations: Korteweg de Vries, Sine-Gordon and Nonlinear Schr dinger, especially the latter. These have long been of great mathematical interest, and also exhibit a "universality" which places them among the most frequently encountered integrable equations in the description of physical systems. Tidal waves, optical fibers and laser beams are among the topics discussed. Lectures are also devoted to multidimensional solitons, integrability of Hamiltonian systems of ODEs and dissipative systems of PDEs.
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