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＜電子ブック＞
Critical Point Theory for Lagrangian Systems / by Marco Mazzucchelli
(Progress in Mathematics. ISSN:2296505X ; 293)

版	1st ed. 2012.
出版者	(Basel : Springer Basel : Imprint: Birkhäuser)
出版年	2012
本文言語	英語
大きさ	XII, 188 p : online resource
著者標目	*Mazzucchelli, Marco author SpringerLink (Online service)
件　名	LCSH:Mathematical physics LCSH:Dynamical systems LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) FREE:Mathematical Physics FREE:Dynamical Systems FREE:Global Analysis and Analysis on Manifolds
一般注記	1 Lagrangian and Hamiltonian systems -- 2 Functional setting for the Lagrangian action -- 3 Discretizations -- 4 Local homology and Hilbert subspaces -- 5 Periodic orbits of Tonelli Lagrangian systems -- A An overview of Morse theory.-Bibliography -- List of symbols -- Index 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 HTTP:URL=https://doi.org/10.1007/978-3-0348-0163-8

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