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Action-minimizing methods in Hamiltonian dynamics : an introduction to Aubry-Mather theory /

John Mather's seminal works in Hamiltonian dynamics represent some of the most important contributions to our understanding of the complex balance between stable and unstable motions in classical mechanics. His novel approach-known as Aubry-Mather theory-singles out the existence of special orb...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Sorrentino, Alfonso, 1979- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton : Princeton University Press, [2015]
Colección:Mathematical notes (Princeton University Press) ; 50.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario:John Mather's seminal works in Hamiltonian dynamics represent some of the most important contributions to our understanding of the complex balance between stable and unstable motions in classical mechanics. His novel approach-known as Aubry-Mather theory-singles out the existence of special orbits and invariant measures of the system, which possess a very rich dynamical and geometric structure. In particular, the associated invariant sets play a leading role in determining the global dynamics of the system. This book provides a comprehensive introduction to Mather's theory, and can serve as an interdisciplinary bridge for researchers and students from different fields seeking to acquaint themselves with the topic.
Descripción Física:1 online resource (xi, 115 pages)
Bibliografía:Includes bibliographical references and index.
ISBN:9781400866618
1400866618