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About 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.
Detailed Information
| Author: | Marco Mazzucchelli (auth.) |
|---|---|
| Publication Year: | 2012 |
| ISBN: | 9783034801621 |
| Pages: | 200 |
| Language: | English |
| File Size: | 1.556 |
| Format: | |
| Price: | FREE |
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