Critical Point Theory for Lagrangian Systems at Meripustak

Critical Point Theory for Lagrangian Systems

Books from same Author: Marco Mazzucchelli

Books from same Publisher: Springer Velage

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  • General Information  
    Author(s)Marco Mazzucchelli
    PublisherSpringer Velage
    ISBN9783034801621
    Pages200
    BindingHardcover
    LanguageEnglish
    Publish YearNovember 2011

    Description

    Springer Velage Critical Point Theory for Lagrangian Systems by Marco Mazzucchelli

    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.