Critical point theory for Lagrangian systems
 Responsibility
 Marco Mazzucchelli.
 Language
 English.
 Imprint
 Basel : Birkhäuser ; Basel ; New York : Springer, c2012.
 Physical description
 xii, 187 p. : ill. ; 24 cm.
 Series
 Progress in mathematics (Boston, Mass.) v. 293.
Access
Available online
 dx.doi.org SpringerLink
Math & Statistics Library
Stacks
Call number  Status 

QA614.7 .M39 2012  Unknown 
More options
Creators/Contributors
 Author/Creator
 Mazzucchelli, Marco.
Contents/Summary
 Bibliography
 Includes bibliographical references (p. 173178) and index.
 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.
 (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 JosephLouis 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 nonautonomous and timeperiodic systems.
(source: Nielsen Book Data)
Bibliographic information
 Publication date
 2012
 Series
 Progress in mathematics ; v. 293
 ISBN
 9783034801621 (hbk.)
 3034801629 (hbk.)
 9783034801638 (electronic bk.)
 3034801637 (electronic bk.)