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 points of...

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Auteur principal: Mazzucchelli, Marco, 1981-...., mathématicien
Format: Livre numérique
Langue:Anglais
Publié: Basel : Springer Basel [20..].
Cham : Springer Nature
Édition:1st ed. 2012.
Collection:Progress in Mathematics 293
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Note: Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Critical point theory for Lagrangian systems, Marco Mazzucchelli, Basel, Birkhäuser, Springer, 2012, 1 vol. (XII-187 p.), Progress in mathematics, 978-3-0348-0162-1
• Critical point theory for Lagrangian systems, Marco Mazzucchelli, Basel, Birkhäuser, Springer, 2012, 1 vol. (XII-187 p.), Progress in mathematics, 978-3-0348-0162-1
• Critical Point Theory for Lagrangian Systems, Texte imprimé, 9783034801645
• Critical point theory for Lagrangian systems, Marco Mazzucchelli, Basel, Birkhäuser, Springer, 2012, 1 vol. (XII-187 p.), Progress in mathematics, 978-3-0348-0162-1
Description
Résumé: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
Description:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783034801638
ISSN:2296-505X
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