TY  - BOOK
AU  - Mazzucchelli,Marco
ED  - SpringerLink (Online service)
TI  - Critical Point Theory for Lagrangian Systems
T2  - Progress in Mathematics
SN  - 9783034801638
AV  - QA401-425 
U1  - 530.15 23
PY  - 2012///
CY  - Basel
PB  - Springer Basel
KW  - Mathematics
KW  - Dynamics
KW  - Ergodic theory
KW  - Global analysis (Mathematics)
KW  - Manifolds (Mathematics)
KW  - Mathematical physics
KW  - Mathematical Physics
KW  - Dynamical Systems and Ergodic Theory
KW  - Global Analysis and Analysis on Manifolds
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/978-3-0348-0163-8
ER  -