Critical Point Theory for Lagrangian Systems di Marco Mazzucchelli edito da Springer Basel AG
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Critical Point Theory for Lagrangian Systems

EAN:

9783034801621

ISBN:

3034801629

Pagine:
188
Formato:
Hardback
Lingua:
Tedesco
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Descrizione Critical Point Theory for Lagrangian Systems

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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