Invariant Lagrangians, mechanical connections and the Lagrange ndaish Poincaré equations
dc.contributor.author | Mestdag, T. | en_US |
dc.contributor.author | Crampin, M. | en_US |
dc.date.accessioned | 2009-10-08T15:36:00Z | |
dc.date.available | 2009-10-08T15:36:00Z | |
dc.date.issued | 2008 | en_US |
dc.identifier.citation | Mestdag, T; Crampin, M (2008). "Invariant Lagrangians, mechanical connections and the Lagrange ndaish Poincaré equations." Journal of Physics A: Mathematical and Theoretical 41(34):344015 (20pp). <http://hdl.handle.net/2027.42/64235> | en_US |
dc.identifier.issn | 1751-8113 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/64235 | |
dc.description.abstract | "We deal with Lagrangian systems that are invariant under the action of a symmetry group. The mechanical connection is a principal connection that is associated with Lagrangians which have a kinetic energy function that is defined by a Riemannian metric. In this paper, we extend this notion to arbitrary Lagrangians. We then derive the reduced Lagrange-Poincare equations in a new fashion and we show how solutions of the Euler-Lagrange equations can be reconstructed with the help of the mechanical connection. Illustrative examples confirm the theory." | en_US |
dc.format.extent | 217524 bytes | |
dc.format.extent | 3118 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.title | Invariant Lagrangians, mechanical connections and the Lagrange ndaish Poincaré equations | en_US |
dc.type | Article | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/64235/1/a8_34_344015.pdf | |
dc.identifier.doi | http://dx.doi.org/10.1088/1751-8121/41/34/344015 | en_US |
dc.identifier.source | Journal of Physics A: Mathematical and Theoretical | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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