Mechanics Day ( Fields Institute Communications )

Publication series :Fields Institute Communications

Author: William F. Shadwick;Perinkulam Sambamurthy Krishnaprasad;Tudor Stefan Ratiu  

Publisher: American Mathematical Society‎

Publication year: 1995

E-ISBN: 9781470429751

P-ISBN(Hardback):  9780821802618

Subject: O1 Mathematics

Keyword: 暂无分类

Language: ENG

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Mechanics Day

Description

This volume presents the proceedings of a workshop held at The Fields Institute in June 1992 both as a commemoration of the 25th anniversary of the publication of “Foundations of Mechanics” by Ralph Abraham and Jerrold Marsden and as a celebration of Marsden's 50th birthday. The publication of that first edition marked a period of remarkable resurgence in all aspects of mechanics, which has continued through the publication of the second edition in 1978, deeply nourished by contacts with a variety of areas of mathematics, including topology, differential geometry, Lie theory, and partial differential equations. The papers collected in this volume reflect these fruitful ties as well as some others, strengthened over the last two decades, with areas of applied science including control theory.

Chapter

Title page

Contents

Preface

Experimental mechanics, the first forty years

On the infinitesimal geometry of integrable systems

The toda PDE and the geometry of the diffeomorphism group of the annulus

Separation of rotations of coupled gyrostats

A theory of cosmological models

Loop algebra moment maps and Hamiltonian models for the Painleve transcendants

The planar filament equation

The localized induction equation, the Heisenberg chain, and the nonlinear Schrodinger equation

The Griffiths-Bryant algorithm and the Dirac theory of constraints

Lagrangian mechanics and groupoids

Optimal control of a rigid body with two oscillators

Back Cover

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