Critical Point Theory for Lagrangian Systems

Lagrangian systems constitute a very important and old class in dynamics. Their origin dates back to the end of the eighteenth century, with Joseph-Louis Lagrange's reformulation of classical mechanics. The main feature of Lagrangian dynamics is its variational flavor: orbits are extremal point...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Mazzucchelli, Marco (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Springer Basel : Imprint: Birkhäuser, 2012.
Edición:1st ed. 2012.
Colección:Progress in Mathematics, 293
Temas:
Mathematical physics.
Dynamical systems.
Global analysis (Mathematics).
Manifolds (Mathematics).
Mathematical Physics.
Dynamical Systems.
Global Analysis and Analysis on Manifolds.
Acceso en línea:Texto Completo
Descripción
Sumario:Lagrangian systems constitute a very important and old class in dynamics. Their origin dates back to the end of the eighteenth century, with Joseph-Louis Lagrange's reformulation of classical mechanics. The main feature of Lagrangian dynamics is its variational flavor: orbits are extremal points of an action functional. The development of critical point theory in the twentieth century provided a powerful machinery to investigate existence and multiplicity questions for orbits of Lagrangian systems. This monograph gives a modern account of the application of critical point theory, and more specifically Morse theory, to Lagrangian dynamics, with particular emphasis toward existence and multiplicity of periodic orbits of non-autonomous and time-periodic systems.
Descripción Física:XII, 188 p. online resource.
ISBN:9783034801638
ISSN:2296-505X ;

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