Critical point theory for Lagrangian systems
- Marco Mazzucchelli.
- Basel : Birkhäuser ; Basel ; New York : Springer, c2012.
- Physical description
- xii, 187 p. : ill. ; 24 cm.
- Progress in mathematics (Boston, Mass.) v. 293.
Math & Statistics Library
|QA614.7 .M39 2012||Unknown|
- Mazzucchelli, Marco.
- Includes bibliographical references (p. 173-178) and index.
- 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.
- (source: Nielsen Book Data)
- Publisher's Summary
- 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.
(source: Nielsen Book Data)
- Publication date
- Progress in mathematics ; v. 293
- 9783034801621 (hbk.)
- 3034801629 (hbk.)
- 9783034801638 (electronic bk.)
- 3034801637 (electronic bk.)
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