A Generalization of Chaplygin's Reducibility Theorem

Details A Generalization of Chaplygin's Reducibility Theorem A Generalization of Chaplygin's Reducibility Theorem

2009-09-22

arxiv.org/abs/0909.4018v2

Reg. and Chaotic Dyn. 14(6) 2009

Physics

Mathematical Physics

27 pages, 3 figures, submitted to Reg. and Chaotic Dyn

Scientific paper

10.1134/S1560354709060033

In this paper we study Chaplygin's Reducibility Theorem and extend its applicability to nonholonomic systems with symmetry described by the Hamilton-Poincare-d'Alembert equations in arbitrary degrees of freedom. As special cases we extract the extension of the Theorem to nonholonomic Chaplygin systems with nonabelian symmetry groups as well as Euler-Poincare-Suslov systems in arbitrary degrees of freedom. In the latter case, we also extend the Hamiltonization Theorem to nonholonomic systems which do not possess an invariant measure. Lastly, we extend previous work on conditionally variational systems using the results above. We illustrate the results through various examples of well-known nonholonomic systems.

Affiliated with

Also associated with

No associations

Rating

A Generalization of Chaplygin's Reducibility Theorem 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 Generalization of Chaplygin's Reducibility Theorem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Generalization of Chaplygin's Reducibility Theorem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-301196