Journal
JOURNAL OF GEOMETRIC MECHANICS
Volume 6, Issue 1, Pages 121-140Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/jgm.2014.6.121
Keywords
Hamilton-Jacobi theory; Poisson manifolds; nonholonomic mechanics; time-dependent systems; external forces
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Funding
- MICINN (Spain) [MTM 2010-21186-C02-01, MTM 2009-08166-E]
- European project IRSES-project [Geomech-246981]
- ICMAT Severo Ochoa project [SEV-2011-0087]
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In this paper we develop a Hamilton-Jacobi theory in the setting of almost Poisson manifolds. The theory extends the classical Hamilton-Jacobi theory and can be also applied to very general situations including nonholonomic mechanical systems and time dependent systems with external forces.
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