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.
| Autorius: | Marco Mazzucchelli |
| Serija: | Progress in Mathematics |
| Leidėjas: | Birkhäuser Basel |
| Išleidimo metai: | 2014 |
| Knygos puslapių skaičius: | 200 |
| ISBN-10: | 3034807821 |
| ISBN-13: | 9783034807821 |
| Formatas: | Knyga minkštu viršeliu |
| Kalba: | Anglų |
| Žanras: | Cybernetics and systems theory |
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