Critical Point Theory for Lagrangian Systems

Dekorationsartikel gehören nicht zum Leistungsumfang.

Sprache: Englisch

47,95 €

-10 % UVP 53,49 €

inkl. MwSt.

Versandkostenfrei per Post / DHL

Lieferzeit 1-2 Wochen

Kategorien:

Beschreibung

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.

Zusammenfassung

Collects, in a rigorous and consistent style, many important results that are sparse in the literature

Exposition is self-contained

Arguments are presented in an elementary way in order to be accessible to the non-specialists

Includes supplementary material: [...]

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2011
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xii 188 S.
ISBN-13:	9783034801621
ISBN-10:	3034801629
Sprache:	Englisch
Herstellernummer:	80060933
Einband:	Gebunden
Autor:	Mazzucchelli, Marco
Hersteller:	Springer Basel
Verantwortliche Person für die EU:	Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Maße:	241 x 160 x 16 mm
Von/Mit:	Marco Mazzucchelli
Erscheinungsdatum:	11.11.2011
Gewicht:	0,471 kg