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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Critical Point Theory for Lagrangian Systems

Critical Point Theory for Lagrangian Systems

Mazzucchelli, Marco

Hardcover

Series: Progress in Mathematics, Book 293

General MathematicsGeneral SciencePhysics

ISBN10: 3034801629
ISBN13: 9783034801621
Publisher: Birkhauser
Published: Nov 11 2011
Pages: 188
Weight: 1.01
Height: 0.50 Width: 6.14 Depth: 9.21
Language: English
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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