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- catalog abstract "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 Mather’s minimal action functional. The level is for graduate students onwards, but also for researchers in any of the subjects touched in the book.".
- catalog contributor b13300690.
- catalog created "2004.".
- catalog date "2004".
- catalog date "2004.".
- catalog dateCopyrighted "2004.".
- catalog description "Aubry-Mather Theory -- Mather-Mané 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.".
- catalog description "Includes bibliographical references (p. [121]-125) and index.".
- catalog description "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 Mather’s minimal action functional. The level is for graduate students onwards, but also for researchers in any of the subjects touched in the book.".
- catalog extent "xii, 128 p. :".
- catalog hasFormat "Also available in an electronic version.".
- catalog identifier "3540219447 (pbk.)".
- catalog isFormatOf "Also available in an electronic version.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1844.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1844".
- catalog issued "2004".
- catalog issued "2004.".
- catalog language "eng".
- catalog publisher "Berlin : Springer,".
- catalog relation "Also available in an electronic version.".
- catalog subject "Differentiable dynamical systems.".
- catalog subject "Dynamics.".
- catalog subject "Geometry, Algebraic.".
- catalog subject "Global analysis (Mathematics)".
- catalog subject "Global differential geometry.".
- catalog subject "Least action.".
- catalog subject "Mathematics.".
- catalog subject "QA3 .L28 no.1844".
- catalog tableOfContents "Aubry-Mather Theory -- Mather-Mané 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.".
- catalog title "The principle of least action in geometry and dynamics / Karl Friedrich Siburg.".
- catalog type "Computer network resources. local".
- catalog type "Electronic books. lcsh".
- catalog type "text".