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OverviewNew 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 DetailsAuthor: Karl Friedrich SiburgPublisher: 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: 9783540219446ISBN 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 We will order this item for you from a manufatured on demand supplier. Table of ContentsAubry-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.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |