GEOMETRICAL MECHANICS ON ALGEBROIDS
2006 ◽
Vol 03
(03)
◽
pp. 559-575
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Keyword(s):
A natural geometric framework is proposed, based on ideas of W. M. Tulczyjew, for constructions of dynamics on general algebroids. One obtains formalisms similar to the Lagrangian and the Hamiltonian ones. In contrast with recently studied concepts of Analytical Mechanics on Lie algebroids, this approach requires much less than the presence of a Lie algebroid structure on a vector bundle, but it still reproduces the main features of the Analytical Mechanics, like the Euler–Lagrange-type equations, the correspondence between the Lagrangian and Hamiltonian functions (Legendre transform) in the hyperregular cases, and a version of the Noether Theorem.
2018 ◽
Vol 15
(05)
◽
pp. 1850074
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2020 ◽
Vol 2020
(760)
◽
pp. 267-293
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Keyword(s):
2018 ◽
Vol 19
(2)
◽
pp. 487-535
◽
Keyword(s):
2019 ◽
Vol 16
(02)
◽
pp. 1950021
2014 ◽
Vol 25
(12)
◽
pp. 1450116
◽
Keyword(s):
Keyword(s):
2013 ◽
Vol 59
(2)
◽
pp. 373-390
2007 ◽
Vol 04
(03)
◽
pp. 389-436
◽