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Critical Point Theory for Lagrangian Systems
Buch von Marco Mazzucchelli
Sprache: Englisch

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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.
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
Artikel-ID: 107026674
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
Artikel-ID: 107026674
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