Nonholonomic systems with symmetry allowing a conformally symplectic reduction

Details Nonholonomic systems with symmetry allowing a conformally symplectic reduction Nonholonomic systems with symmetry allowing a conformally symplectic reduction

2002-03-11

arxiv.org/abs/math-ph/0203013v1

Physics

Mathematical Physics

8 pages. A slight edition of the version to appear in Proceedings of HAMSYS 2001

Scientific paper

Non-holonomic mechanical systems can be described by a degenerate almost-Poisson structure (dropping the Jacobi identity) in the constrained space. If enough symmetries transversal to the constraints are present, the system reduces to a nondegenerate almost-Poisson structure on a ``compressed'' space. Here we show, in the simplest non-holonomic systems, that in favorable circumnstances the compressed system is conformally symplectic, although the ``non-compressed'' constrained system never admits a Jacobi structure (in the sense of Marle et al.).

Affiliated with

Also associated with

No associations

Rating

Nonholonomic systems with symmetry allowing a conformally symplectic reduction 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 Nonholonomic systems with symmetry allowing a conformally symplectic reduction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonholonomic systems with symmetry allowing a conformally symplectic reduction will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-263136