期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 47, 期 23, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/47/23/235203
关键词
Hamilton-Jacobi equation; higher-order Lagrangian and Hamiltonian systems; Symplectic geometry
资金
- 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]
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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