Critical Point Theory for Lagrangian Systems: 293 (Progress in Mathematics, 293) - Softcover

Book 113 of 170: Progress in Mathematics

Mazzucchelli, Marco

 
9783034807821: Critical Point Theory for Lagrangian Systems: 293 (Progress in Mathematics, 293)

Synopsis

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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From the Back Cover

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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9783034801621: Critical Point Theory for Lagrangian Systems: 293 (Progress in Mathematics, 293)

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ISBN 10:  3034801629 ISBN 13:  9783034801621
Publisher: Birkhäuser, 2011
Hardcover