bokomslag Critical Point Theory for Lagrangian Systems
Vetenskap & teknik

Critical Point Theory for Lagrangian Systems

Marco Mazzucchelli

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  • 188 sidor
  • 2014
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.
  • Författare: Marco Mazzucchelli
  • Format: Pocket/Paperback
  • ISBN: 9783034807821
  • Språk: Engelska
  • Antal sidor: 188
  • Utgivningsdatum: 2014-01-26
  • Förlag: Birkhauser Verlag AG