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Critical Point Theory for Lagrangian Systems

Häftad, Engelska, 2014

Av Marco Mazzucchelli

719 kr

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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 investigateexistence 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.

Produktinformation

  • Utgivningsdatum2014-01-26
  • Mått155 x 235 x 12 mm
  • Vikt312 g
  • FormatHäftad
  • SpråkEngelska
  • SerieProgress in Mathematics
  • Antal sidor188
  • Upplaga2012
  • FörlagSpringer Basel
  • ISBN9783034807821