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Critical Point Theory for Lagrangian Systems (Progress in Mathematics Book 293) by Marco Mazzucchelli (auth.) is a nonfiction available to read on EtoBox.

What is Critical Point Theory for Lagrangian Systems (Progress in Mathematics Book 293) about?

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.

Who reads Critical Point Theory for Lagrangian Systems (Progress in Mathematics Book 293)?

Author

Marco Mazzucchelli (auth.)

Publisher

Springer Basel AG; Birkhäuser

Published

2012

Language

EN

ISBN

9783034801621

Category

nonfiction

Subjects

Mathematics, Science, Physics