Critical Point Theory for Lagrangian Systems

Released on by Marco Mazzucchelli
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  • Critical Point Theory for Lagrangian Systems Book Detail

  • Author : Marco Mazzucchelli
  • Release Date : 2011-11-16
  • Publisher : Springer Science & Business Media
  • Genre : Science
  • Pages : 196
  • ISBN 13 : 3034801637
  • File Size : 20,20 MB
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Critical Point Theory for Lagrangian Systems by Marco Mazzucchelli PDF Summary

Book 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.

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