Critical Point Theory for Lagrangian Systems (Progress in Mathematics, 293, Band 293) - Hardcover

Mazzucchelli, Marco

Hardcover

ISBN 10: 3034801629 ISBN 13: 9783034801621

Verlag: Birkhäuser, 2011

Inhaltsangabe

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.

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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.

Details zur Ausgabe

• Verlag: Birkhäuser
• Erscheinungsdatum: 2011
• Sprache: Englisch
• ISBN 10: 3034801629
• ISBN 13: 9783034801621
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 200
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