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eBook Integrable Systems of Classical Mechanics and Lie Algebras Volume I download

by PERELOMOV

eBook Integrable Systems of Classical Mechanics and Lie Algebras Volume I download ISBN: 3764323361
Author: PERELOMOV
Publisher: Birkhäuser; Softcover reprint of the original 1st ed. 1990 edition (December 1, 1989)
Language: English
Pages: 308
ePub: 1700 kb
Fb2: 1179 kb
Rating: 4.2
Other formats: docx lrf rtf lrf
Category: Math Sciences
Subcategory: Mathematics

eBook 59,49 €. price for Russian Federation (gross).

eBook 59,49 €. ISBN 978-3-0348-9257-5. Digitally watermarked, DRM-free.

Start by marking Integrable Systems of Classical Mechanics and Lie . It should be pointed out that all systems of this kind discovered so far are related to Lie algebras, although often this relationship is no. .

Start by marking Integrable Systems of Classical Mechanics and Lie Algebras Volume I as Want to Read: Want to Read savin. ant to Read. This book is designed to expose from a general and universal standpoint a variety ofmethods and results concerning integrable systems ofclassical me chanics. It should be pointed out that all systems of this kind discovered so far are related to Lie algebras, although often this relationship is not sosimpleas the oneexpressed by the well-known theorem of E. Noether.

Автор: PERELOMOV Название: Integrable Systems of Classical Mechanics and .

This volume is the result of two international workshops; Infinite Analysis 11 - Frontier of Integrability - held at University of Tokyo, Japan in July 25th to 29th, 2011, and Symmetries, Integrable Systems and Representations held at Universit Claude Bernard Lyon 1, France in December 13th to 16th, 2011.

2 Completely Integrable Many-Body Systems. Explicit Integration of the Equations of Motion for Systems of Type I and V via the Projection Method. Relationship Between the Solutions of the Equations of Motion for Systems of Type I and . Explicit Integration of the Equations of Motion for Systems of Type II and II. Integration of the Equations of Motion for Systems with Two Types of Particles. oceedings{bleSO, title {Integrable Systems of Classical Mechanics and Lie Algebras Volume I}, author {Askold M. Perelomov}, year {1989} }. Askold M. Perelomov.

This book offers a systematic presentation of a variety of methods and results concerning integrable systems of classical mechanics. The investigation of integrable systems was an important line of study in the last century, but up until recently only a small number of examples with two or more degrees of freedom were known. Chapter 3 deals with many-body systems of generalized Calogero-Moser type, related to root systems of simple Lie algebras. Chapter 4 is devoted to the Toda lattice and its various modifications seen from the group-theoretic point of view.

Hamiltonian systems, Lie algebras. Includes bibliographical references and index. 531. Library of Congress. v. <1 : ID Numbers.

By (author) A Perelomov. We can notify you when this item is back in stock. AbeBooks may have this title (opens in new window).

Book Publishing WeChat. TITLE: Hidden Symmetries of Lax Integrable Nonlinear Systems. AUTHORS: Denis Blackmore, Yarema Prykarpatsky, Jolanta Golenia, Anatoli Prykapatski. KEYWORDS: Lie-Algebraic Approach; Marsden-Weinstein Reduction Method; R-Matrix Structure; Poissonian Manifold; ic Methods; Gradient Holonomic Algorithm; Lax Integrability; Symplectic Structures; Compatible Poissonian Structures; Lax Representation. JOURNAL NAME: Applied Mathematics, Vo. N. 0C, October 23, 2013.

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You can change your ad preferences anytime. Applied to problems of mechanics this method revealed the complete in- tegrability of numerous classical systems.

This book is designed to expose from a general and universal standpoint a variety ofmethods and results concerning integrable systems ofclassical me­ chanics. By such systems we mean Hamiltonian systems with a finite number of degrees of freedom possessing sufficiently many conserved quantities (in­ tegrals ofmotion) so that in principle integration ofthe correspondingequa­ tions of motion can be reduced to quadratures, i.e. to evaluating integrals of known functions. The investigation of these systems was an important line ofstudy in the last century which, among other things, stimulated the appearance of the theory ofLie groups. Early in our century, however, the work ofH. Poincare made it clear that global integrals of motion for Hamiltonian systems exist only in exceptional cases, and the interest in integrable systems declined. Until recently, only a small number ofsuch systems with two or more de­ grees of freedom were known. In the last fifteen years, however, remarkable progress has been made in this direction due to the invention by Gardner, Greene, Kruskal, and Miura [GGKM 19671 ofa new approach to the integra­ tion ofnonlinear evolution equations known as the inverse scattering method or the method of isospectral deformations. Applied to problems of mechanics this method revealed the complete in­ tegrability of numerous classical systems. It should be pointed out that all systems of this kind discovered so far are related to Lie algebras, although often this relationship is not sosimpleas the oneexpressed by the well-known theorem of E. Noether.