Recent Developments in Integrable Systems and Related Topics of Mathematical Physics, Victor M. Buchstaber; Sotiris Konstantinou-Rizos;

Автор: N. J. Hitchin
Название: Integrable Systems
ISBN: 0199676771 ISBN-13(EAN): 9780199676774
Издательство: Oxford Academ
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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: Ron Donagi, Tony Shaska
Название: Integrable Systems and Algebraic Geometry: Volume 1
ISBN: 1108715745 ISBN-13(EAN): 9781108715744
Издательство: Cambridge Academ
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Описание: Created as a celebration of mathematical pioneer Emma Previato, this comprehensive book highlights the connections between her main fields of research, namely algebraic geometry and integrable systems. Written by leaders in the field, the text is accessible to graduate students and non-experts, as well as researchers.

Автор: Alexander B. Borisov, Vladimir V. Zverev
Название: Nonlinear Dynamics: Non-Integrable Systems and Chaotic Dynamics
ISBN: 3110439387 ISBN-13(EAN): 9783110439380
Издательство: Walter de Gruyter
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Описание: The book provides a concise and rigor introduction to the fundamentals of methods for solving the principal problems of modern non-linear dynamics. This monograph covers the basic issues of the theory of integrable systems and the theory of dynamical chaos both in nonintegrable conservative and in dissipative systems. A distinguishing feature of the material exposition is to add some comments, historical information, brief biographies and portraits of the researchers who made the most significant contribution to science. This allows one to present the material as accessible and attractive to students to acquire indepth scientific knowledge of nonlinear mechanics, feel the atmosphere where those or other important discoveries were made. The book can be used as a textbook for advanced undergraduate and graduate students majoring in high-tech industries and high technology (the science based on high technology) to help them to develop lateral thinking in early stages of training. Contents: Nonlinear OscillationsIntegrable SystemsStability of Motion and Structural StabilityChaos in Conservative SystemsChaos and Fractal Attractors in Dissipative SystemsConclusionReferencesIndex

Автор: Ron Donagi, Tony Shaska
Название: Integrable Systems and Algebraic Geometry 2 Volume Paperback Set
ISBN: 1108785492 ISBN-13(EAN): 9781108785495
Издательство: Cambridge Academ
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Описание: In The Alternative Introduction to Biological Anthropology, Second Edition, author Jonathan Marks presents an innovative framework for thinking about the major issues in the field with fourteen original essays designed to correlate to the core chapters in standard textbooks. Each chapter draws on and complements-but does not reconstitute (except for the sake of clarity)-the major data and ideas presented in standard texts. Marks explores such topics as howwe make sense of data about our origins, where our modern ideas come from, our inability to separate natural facts from cultural facts and values as we try to understand ourselves, and the social and political aspects of science as a culturally situated mental activity.

Автор: C.B. Wang
Название: Application of Integrable Systems to Phase Transitions
ISBN: 3642385648 ISBN-13(EAN): 9783642385643
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This book practical book applies integrable systems to solve the phase transition problems. It provides a unified model for the densities of eigenvalues in quantum chromodynamics (QCD).

Автор: Arutyunov Gleb
Название: Elements of Classical and Quantum Integrable Systems
ISBN: 3030241971 ISBN-13(EAN): 9783030241971
Издательство: Springer
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Описание: Integrable models have a fascinating history with many important discoveries that dates back to the famous Kepler problem of planetary motion. Nowadays it is well recognised that integrable systems play a ubiquitous role in many research areas ranging from quantum field theory, string theory, solvable models of statistical mechanics, black hole physics, quantum chaos and the AdS/CFT correspondence, to pure mathematics, such as representation theory, harmonic analysis, random matrix theory and complex geometry. Starting with the Liouville theorem and finite-dimensional integrable models, this book covers the basic concepts of integrability including elements of the modern geometric approach based on Poisson reduction, classical and quantum factorised scattering and various incarnations of the Bethe Ansatz. Applications of integrability methods are illustrated in vast detail on the concrete examples of the Calogero-Moser-Sutherland and Ruijsenaars-Schneider models, the Heisenberg spin chain and the one-dimensional Bose gas interacting via a delta-function potential. This book has intermediate and advanced topics with details to make them clearly comprehensible.

Автор: C.B. Wang
Название: Application of Integrable Systems to Phase Transitions
ISBN: 364244024X ISBN-13(EAN): 9783642440243
Издательство: Springer
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Цена: 13275.00 р.
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Описание: This book practical book applies integrable systems to solve the phase transition problems. It provides a unified model for the densities of eigenvalues in quantum chromodynamics (QCD).

Автор: A.S. Fokas; I.M. Gelfand
Название: Algebraic Aspects of Integrable Systems
ISBN: 1461275350 ISBN-13(EAN): 9781461275350
Издательство: Springer
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Цена: 14673.00 р.
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Описание: Irene Dorfman died in Moscow on April 6, 1994, shortly after seeing her beautiful book on Dirac structures I]. The present volume contains a collection of papers aiming at celebrating her outstanding contributions to mathematics. Her most important discoveries are associated with the algebraic structures arising in the study of integrable equations. Most of the articles contained in this volume are in the same spirit. Irene, working as a student of Israel Gel'fand made the fundamental dis- covery that integrability is closely related to the existence of bi-Hamiltonian structures 2], 3]. These structures were discovered independently, and al- most simultaneously, by Magri 4] (see also 5]). Several papers in this book are based on this remarkable discovery. In particular Fokas, Olver, Rosenau construct large classes on integrable equations using bi-Hamiltonian struc- tures, Fordy, Harris derive such structures by considering the restriction of isospectral flows to stationary manifolds and Fuchssteiner discusses similar structures in a rather abstract setting.

Автор: Chaohao Gu; Anning Hu; Zixiang Zhou
Название: Darboux Transformations in Integrable Systems
ISBN: 9048167884 ISBN-13(EAN): 9789048167883
Издательство: Springer
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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.

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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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: Jurdjevic
Название: Optimal Control and Geometry: Integrable Systems
ISBN: 1107113881 ISBN-13(EAN): 9781107113886
Издательство: Cambridge Academ
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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.