The Principle of Least Action in Geometry and Dynamics

Author:   Karl Friedrich Siburg
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   2004 ed.
Volume:   1844
ISBN:  

9783540219446


Pages:   132
Publication Date:   17 May 2004
Format:   Paperback
Availability:   Out of print, replaced by POD   Availability explained
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The Principle of Least Action in Geometry and Dynamics


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Overview

New variational methods by Aubry, Mather, and Mane, discovered in the last twenty years, gave deep insight into the dynamics of convex Lagrangian systems. This book shows how this Principle of Least Action appears in a variety of settings (billiards, length spectrum, Hofer geometry, modern symplectic geometry). Thus, topics from modern dynamical systems and modern symplectic geometry are linked in a new and sometimes surprising way. The central object is Mathers minimal action functional. The level is for graduate students onwards, but also for researchers in any of the subjects touched in the book.

Full Product Details

Author:   Karl Friedrich Siburg
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2004 ed.
Volume:   1844
Dimensions:   Width: 15.50cm , Height: 0.80cm , Length: 23.50cm
Weight:   0.480kg
ISBN:  

9783540219446


ISBN 10:   3540219447
Pages:   132
Publication Date:   17 May 2004
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD   Availability explained
We will order this item for you from a manufatured on demand supplier.

Table of Contents

Aubry-Mather Theory.- Mather-Mane Theory.- The Minimal Action and Convex Billiards.- The Minimal Action Near Fixed Points and Invariant Tori.- The Minimal Action and Hofer's Geometry.- The Minimal Action and Symplectic Geometry.- References.- Index.

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