Critical Point Theory for Lagrangian Systems
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Overview
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.
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Details
- ISBN-13: 9783034807821
- ISBN-10: 3034807821
- Publisher: Birkhauser
- Publish Date: January 2014
- Dimensions: 9.21 x 6.14 x 0.42 inches
- Shipping Weight: 0.63 pounds
- Page Count: 188
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