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{ "item_title" : "Critical Point Theory for Lagrangian Systems", "item_author" : [" Marco Mazzucchelli "], "item_description" : "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.", "item_img_path" : "https://covers2.booksamillion.com/covers/bam/3/03/480/162/3034801629_b.jpg", "price_data" : { "retail_price" : "54.99", "online_price" : "54.99", "our_price" : "54.99", "club_price" : "54.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
Critical Point Theory for Lagrangian Systems|Marco Mazzucchelli

Critical Point Theory for Lagrangian Systems

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Overview

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.

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Details

  • ISBN-13: 9783034801621
  • ISBN-10: 3034801629
  • Publisher: Birkhauser
  • Publish Date: November 2011
  • Dimensions: 9.21 x 6.14 x 0.5 inches
  • Shipping Weight: 1.01 pounds
  • Page Count: 188

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