Mechanics day
著者
書誌事項
Mechanics day
（Fields Institute communications, v. 7）
American Mathematical Society, c1996
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注記
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
Experimental mechanics, the first forty years by R. H. Abraham On the infinitesimal geometry of integrable systems by A. Baider, R. C. Churchill, D. L. Rod, and M. F. Singer The toda PDE and the geometry of the diffeomorphism group of the annulus by A. M. Bloch, H. Flaschka, and T. S. Ratiu Separation of rotations of coupled gyrostats by O. I. Bogoyavlenskij A theory of cosmological models by A. E. Fischer Loop algebra moment maps and Hamiltonian models for the Painleve transcendants by J. P. Harnad and M. A. Wisse The planar filament equation by J. Langer and R. K. Perline The localized induction equation, the Heisenberg chain, and the nonlinear Schrodinger equation by J. Langer and R. K. Perline The Griffiths-Bryant algorithm and the Dirac theory of constraints by D. C. Robinson and W. F. Shadwick Lagrangian mechanics and groupoids by A. D. Weinstein Optimal control of a rigid body with two oscillators by R. Yang, P. S. Krishnaprasad, and W. P. Dayawansa.
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