Nonholonomic Constraints: a New Viewpoint

Details Nonholonomic Constraints: a New Viewpoint Nonholonomic Constraints: a New Viewpoint

2008-06-06

arxiv.org/abs/0806.1117v1

J. Math. Phys. 50 (2009), 013520

Mathematics

Differential Geometry

15 pages

Scientific paper

10.1063/1.3049752

The purpose of this paper is to show that, at least for Lagrangians of mechanical type, nonholonomic Euler-Lagrange equations for a nonholonomic linear constraint D may be viewed as non-constrained Euler-Lagrange equations but on a new (generally not Lie) algebroid structure on D. The proposed novel formalism allows us to treat in a unified way a variety of situations in nonholonomic mechanics and gives rise to a version of Neoether Theorem producing actual first integrals in case of symmetries.

Affiliated with

Also associated with

No associations

Rating

Nonholonomic Constraints: a New Viewpoint 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 Constraints: a New Viewpoint, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Nonholonomic Constraints: a New Viewpoint will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-172368