| Critical Point Theory for Lagrangian Systems 2012 Edition Contributor(s): Mazzucchelli, Marco (Author) |
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ISBN: 3034807821 ISBN-13: 9783034807821 Publisher: Birkhauser OUR PRICE: $52.24 Product Type: Paperback - Other Formats Published: January 2014 |
| Additional Information |
| BISAC Categories: - Mathematics | Mathematical Analysis - Science | Physics - Mathematical & Computational - Science | System Theory |
| Dewey: 514.74 |
| Series: Progress in Mathematics |
| Physical Information: 0.42" H x 6.14" W x 9.21" (0.63 lbs) 188 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |