Critical Point Theory for Lagrangia - E-book

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Critical Point Theory For Lagrangian Systems - ENG

Marco Mazzucchelli

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Sinopsis

ISBN:	9783034801638
Formato:	Page Fidelity
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Ciencia
Subtema:	Física matemática y computacional
Año de publicación:	2011-11-16

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 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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