Critical point theory for Lagrangian systems
Author(s)
Bibliographic Information
Critical point theory for Lagrangian systems
（Progress in mathematics, v. 293）
Birkhäuser , Springer Basel AG, c2012
Available at / 39 libraries
-
Library, Research Institute for Mathematical Sciences, Kyoto University数研
MAZ||11||1200021323507
-
No Libraries matched.
- Remove all filters.
Note
Includes bibliographical references (p. 173-178) and index
Description and Table of Contents
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.
Table of Contents
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.
by "Nielsen BookData"
