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Critical Point Theory for Lagrangian Systems
Marco Mazzucchelli
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Description for Critical Point Theory for Lagrangian Systems
Hardback. 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: PBK; PBPH; PBWR. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 13. Weight in Grams: 467.
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 ... 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 multiplicity ... Read more
Product Details
Format
Hardback
Publication date
2011
Publisher
Springer Basel Switzerland
Number of pages
188
Condition
New
Series
Progress in Mathematics
Number of Pages
188
Place of Publication
Basel, Switzerland
ISBN
9783034801621
SKU
V9783034801621
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 for Lagrangian systems.” ... Read more