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Field name	Details
Dewey Class	530.15
Title	Critical Point Theory for Lagrangian Systems ([EBook]) / by Marco Mazzucchelli.
Author	Mazzucchelli, Marco
Other name(s)	SpringerLink (Online service)
Publication	Basel : Springer Basel , 2012.
Physical Details	XII, 187 pages: 1 illus. in color. : online resource.
Series	Progress in mathematics ; 293
ISBN	9783034801638
Summary Note	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.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-3-0348-0163-8
Links to Related Works	Subject References: Differentiable dynamical systems . Dynamical systems and ergodic theory . Global analysis . Global Analysis and Analysis on Manifolds . Mathematical Physics . Mathematics . Authors: Mazzucchelli, Marco . Corporate Authors: SpringerLink (Online service) . Series: Progress in mathematics . Classification: 530.15 .

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Critical Point Theory for Lagrangian Systems

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