Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 47, Issue 23, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/47/23/235203
Keywords
Hamilton-Jacobi equation; higher-order Lagrangian and Hamiltonian systems; Symplectic geometry
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Funding
- Ministerio de Ciencia e Innovacion (Spain) [MTM 2010-21186-C02-01, MTM2011-22585, MTM2011-15725-E]
- AGAUR [2009 SGR: 1338]
- IRSES-project [Geomech-246981]
- ICMAT Severo Ochoa project [SEV-2011-0087]
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The geometric framework for the Hamilton-Jacobi theory is used to study this theory in the background of higher-order mechanical systems, in both the Lagrangian and Hamiltonian formalisms. Thus, we state the corresponding Hamilton-Jacobi equations in these formalisms and apply our results to analyze some particular physical examples.
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