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Mechanics Day

About this Title

William F. Shadwick, Fields Institute of Mathematics, Waterloo, ON, Canada, Perinkulam Sambamurthy Krishnaprasad, University of Maryland, College Park, College Park, MD and Tudor S Ratiu, University of California, Santa Cruz, Santa Cruz, CA, Editors

Publication: Fields Institute Communications
Publication Year: 1996; Volume 7
ISBNs: 978-0-8218-0261-8 (print); 978-1-4704-2975-1 (online)
DOI: https://doi.org/10.1090/fic/007
MathSciNet review: MR1365769
MSC: Primary 58-06; Secondary 00B30, 70-06

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Table of Contents

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Front/Back Matter

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Chapters

• Ralph Abraham – Experimental mechanics, the first forty years
• Alberto Baider, Richard Churchill, David Rod and Michael Singer – On the infinitesimal geometry of integrable systems
• Anthony Bloch, Hermann Flaschka and Tudor Ratiu – The toda PDE and the geometry of the diffeomorphism group of the annulus
• O. Bogoyavlenskij – Separation of rotations of coupled gyrostats
• Arthur Fischer – A theory of cosmological models
• John Harnad and M. Wisse – Loop algebra moment maps and Hamiltonian models for the Painleve transcendants
• Joel Langer and Ronald Perline – The planar filament equation
• Joel Langer and Ronald Perline – The localized induction equation, the Heisenberg chain, and the nonlinear Schrodinger equation
• David Robinson and William Shadwick – The Griffiths-Bryant algorithm and the Dirac theory of constraints
• Alan Weinstein – Lagrangian mechanics and groupoids
• R Yang, P Krishnaprasad and Wijesuriya Dayawansa – Optimal control of a rigid body with two oscillators