Physics – Mathematical Physics
Scientific paper
2007-05-02
Physics
Mathematical Physics
50 pages
Scientific paper
10.1063/1.2776845
This paper presents a geometric description of Lagrangian and Hamiltonian systems on Lie affgebroids subject to affine nonholonomic constraints. We define the notion of nonholonomically constrained system, and characterize regularity conditions that guarantee that the dynamics of the system can be obtained as a suitable projection of the unconstrained dynamics. It is shown that one can define an almost aff-Poisson bracket on the constraint AV-bundle, which plays a prominent role in the description of nonholonomic dynamics. Moreover, these developments give a general description of nonholonomic systems and the unified treatment permits to study nonholonomic systems after or before reduction in the same framework. Also, it is not necessary to distinguish between linear or affine constraints and the methods are valid for explicitly time-dependent systems.
de Diego David Martin
Iglesias David
Marrero Juan Carlos
Sosa Dario
No associations
LandOfFree
A general framework for nonholonomic mechanics: Nonholonomic Systems on Lie affgebroids does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A general framework for nonholonomic mechanics: Nonholonomic Systems on Lie affgebroids, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A general framework for nonholonomic mechanics: Nonholonomic Systems on Lie affgebroids will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-674678