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portada critical point theory for lagrangian systems
Type
Physical Book
Author
Publisher
Language
English
Pages
188
Format
Hardcover
Dimensions
23.4x15.6x1.3 cm
Weight
0.46 kg.
ISBN
3034801629
ISBN13
9783034801621
Categories

critical point theory for lagrangian systems

Marco Mazzucchelli (Author) · Birkhauser · Hardcover

critical point theory for lagrangian systems - Mazzucchelli, Marco

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Synopsis "critical point theory for lagrangian 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.

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