Critical point theory for lagrangian systems /
<p>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 extre...
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| Format: | E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Springer Basel
2012.
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| Schriftenreihe: | Progress in Mathematics
293 |
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| Online Zugang: | Click here to view the full text content |
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| Zusammenfassung: | <p>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.</p> |
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| Beschreibung: | 1 online resource (XII, 187 pages) 1 illustration in colour, digital. |
| ISBN: | 9783034801638 |