Global Aspects of Classical Integrable Systems

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. It presents for the first time in...

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Những tác giả chính:	Cushman, Richard H, Bates, Larry
Định dạng:	Sách
Ngôn ngữ:	English
Được phát hành:	Springer 2016
Những chủ đề:	Topology Mathematics Hamiltonian systems Dynamics
Truy cập trực tuyến:	https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/59923
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spelling	oai:scholar.dlu.edu.vn:DLU123456789-599232023-11-11T06:56:18Z Global Aspects of Classical Integrable Systems Cushman, Richard H Bates, Larry Topology Mathematics Hamiltonian systems Dynamics 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. It presents for the first time in book form a general theory of symmetry reduction which allows one to reduce the symmetries in the spherical pendulum and the Lagrange top. Also the monodromy obstruction to the existence of global action angle coordinates is calculated for the spherical pendulum and the Lagrange top. The book addresses professional mathematicians and graduate students and can be used as a textbook on advanced classical mechanics or global analysis. 2016-03-29T03:21:17Z 2016-03-29T03:21:17Z 2015 Book 978-3-0348-0918-4 978-3-0348-0917-7 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/59923 en application/pdf Springer
institution	Thư viện Trường Đại học Đà Lạt
collection	Thư viện số
language	English
topic	Topology Mathematics Hamiltonian systems Dynamics
spellingShingle	Topology Mathematics Hamiltonian systems Dynamics Cushman, Richard H Bates, Larry Global Aspects of Classical Integrable Systems
description	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. It presents for the first time in book form a general theory of symmetry reduction which allows one to reduce the symmetries in the spherical pendulum and the Lagrange top. Also the monodromy obstruction to the existence of global action angle coordinates is calculated for the spherical pendulum and the Lagrange top. The book addresses professional mathematicians and graduate students and can be used as a textbook on advanced classical mechanics or global analysis.
format	Book
author	Cushman, Richard H Bates, Larry
author_facet	Cushman, Richard H Bates, Larry
author_sort	Cushman, Richard H
title	Global Aspects of Classical Integrable Systems
title_short	Global Aspects of Classical Integrable Systems
title_full	Global Aspects of Classical Integrable Systems
title_fullStr	Global Aspects of Classical Integrable Systems
title_full_unstemmed	Global Aspects of Classical Integrable Systems
title_sort	global aspects of classical integrable systems
publisher	Springer
publishDate	2016
url	https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/59923
_version_	1819812822913122304

Global Aspects of Classical Integrable Systems

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