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Book Cover
E-book
Author Marsden, Jerrold E., author

Title Reduction, symmetry, and phases in mechanics / J.E. Marsden, R. Montgomery, and T. Ratiu
Published Providence, Rhode Island, United States : American Mathematical Society, 1990
©1990

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Description 1 online resource (118 pages) : illustrations
Series Memoirs of the American Mathematical Society, 0065-9266 ; Volume 88, Number 436
Memoirs of the American Mathematical Society ; Volume 88, no. 436.
Contents ""Contents""; ""Introduction""; ""Â1 Some Examples""; ""Â2 Reconstruction of dynamics for Hamiltonian systems""; ""Â3 Reconstruction of dynamics for Lagrangian systems""; ""Â4 Ehresmann connections and holonomy""; ""Â5 Reconstruction phases""; ""Â6 Averaging connections""; ""Â7 Existence, uniqueness and curvature of the Hannay-Berry connections""; ""Â8 The Hannay-Berry connection in the presence of additional symmetry""; ""Â9 The Hannay-Berry connection on level sets of the momentum map""; ""Â10 Case I: Bundles of symplectic manifolds with the canonical connection
Integrable systems""""Â11 Case II: Cartan connections; moving systems""; ""Â12 The Cartan angles; the ball in the hoop and the Foucault pendulum""; ""Â13 Induced connections on the tower of bundles""; ""Â14 The Hannay-Berry connection for general systems""; ""References""
Notes "November 1990, Volume 88, Number 436 (first of 2 numbers)"--Cover
Bibliography Includes bibliographical references
Notes English
Print version record
Subject Mechanics, Analytic.
Symmetry groups.
Holonomy groups.
Holonomy groups
Mechanics, Analytic
Symmetry groups
Form Electronic book
Author Montgomery, R. (Richard), 1956- author.
Ratiu, T., author
ISBN 9781470408596
1470408597