Critical Point Theory for Lagrangian Systems

by Marco Mazzucchelli
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Marco Mazzucchelli Critical Point Theory for Lagrangian Systems
Marco Mazzucchelli - Critical Point Theory for Lagrangian Systems

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Description

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.

Contributors

Author:
Marco Mazzucchelli

Further information

Illustrations Note:
Literaturverz.
Remarks:

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

Media Type:
Hardcover
Publisher:
Springer Basel
Language:
English
Number of Pages:
188
Summary:
Here is a modern account of the application of critical point theory, specifically Morse theory, to Lagrangian dynamics, with particular emphasis on the existence and multiplicity of periodic orbits of non-autonomous and time-periodic systems.

Master Data

Product Type:
Hardback book
Package Dimensions:
0.242 x 0.16 x 0.016 m; 0.44 kg
GTIN:
09783034801621
DUIN:
AP5UBGJCVV6
$79.52
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