- Main Menu-

Catalogue Tag Display

MARC 21

Critical Point Theory for Lagrangian Systems
Tag	Description
020	$a9783034801638
082	$a530.15
099	$aOnline Resource: Springer
100	$aMazzucchelli, Marco.
245	$aCritical Point Theory for Lagrangian Systems$h[EBook]$cby Marco Mazzucchelli.
260	$aBasel$bSpringer Basel$c2012.
300	$aXII, 187 pages: 1 illus. in color.$bonline resource.
336	$atext
338	$aonline resource
440	$aProgress in Mathematics ;$v293
505	$a1 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.
520	$aLagrangian 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.
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
710	$aSpringerLink (Online service)
830	$aProgress in Mathematics ;$v293
856	$uhttp://dx.doi.org/10.1007/978-3-0348-0163-8