| Description |
1 online resource (xii, 187 pages) |
| Series |
Progress in mathematics ; v. 293 |
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Progress in mathematics (Boston, Mass.) ; v. 293.
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| Contents |
Lagrangian and Hamiltonian systems -- The Morse indices in Lagrangian dynamics -- Functional setting for the Lagrangian action -- Discretizations -- Locol homology and Hilbert subspaces -- Periodic orbits of Tonelli Lagrangian systems -- Appendix: An overview of Morse theory |
| Summary |
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 |
| Analysis |
Differentiable dynamical systems |
|
wiskunde |
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mathematics |
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mathematische natuurkunde |
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mathematical physics |
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Mathematics (General) |
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Wiskunde (algemeen) |
| Bibliography |
Includes bibliographical references (pages 173-178) and index |
| Subject |
Critical point theory (Mathematical analysis)
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Lagrangian functions.
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Mathematics.
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Mathematics
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Algorithms
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algorithms.
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MATHEMATICS -- Calculus.
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MATHEMATICS -- Mathematical Analysis.
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Mathematics
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Critical point theory (Mathematical analysis)
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Lagrangian functions
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| Form |
Electronic book
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| ISBN |
9783034801638 |
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3034801637 |
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