The Principle of Least Action in Geometry and Dynamics

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 symplecti...

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Detalhes bibliográficos
Autor principal: Siburg, Karl Friedrich, 19..-
Formato: Livre numérique
Idioma:Anglais
Publicado em: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Colecção:Lecture notes in mathematics 1844
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Nota: Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• The principle of least action in geometry and dynamics, Karl Friedrich Siburg, 2004, Berlin, Springer, 1 vol. (XII-128 p.), Lecture notes in mathematics, 3-540-21944-7
• The Principle of Least Action in Geometry and Dynamics, Texte imprimé, 9783662190296
Descrição
Resumo: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.
Descrição do item:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783540409854
ISSN:1617-9692
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Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017