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Critical Point Theory for Lagrangian Systems
Marco Mazzucchelli
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Description for Critical Point Theory for Lagrangian Systems
Paperback. Here is a modern account of the application of critical point theory, specifically Morse theory, to Lagrangian dynamics, with particular emphasis on the existence and multiplicity of periodic orbits of non-autonomous and time-periodic systems. Series: Progress in Mathematics. Num Pages: 188 pages, biography. BIC Classification: PBKS; PBWR; PHU. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 11. Weight in Grams: 314.
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 ... Read more
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 ... Read more
Product Details
Publisher
Springer Basel
Format
Paperback
Publication date
2014
Series
Progress in Mathematics
Condition
New
Weight
314g
Number of Pages
188
Place of Publication
, Switzerland
ISBN
9783034807821
SKU
V9783034807821
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Critical Point Theory for Lagrangian Systems
From the reviews: This monograph concerns the use of critical point theory tools in connection with questions of existence and multiplicity of periodic solutions of Lagrangian systems. ... The monograph contains several proofs and seems to be especially suitable for researchers and advanced graduate students interested in applications of critical point theory to boundary value problems ... Read more