2009/09/23 by M. Crampin, T. Mestdag · 1 citation
Physics and Astronomy · Mathematics · #math-ph #math.MP #msc:34A26 #msc:37J60 #msc:70G45 #msc:70G75 #msc:70H03
paper · pdf · doi:10.1080/14689360903360888
published as Dynamical Systems: An International Journal 25 (2010) 159 - 187 · 33 pages, to appear in `Dynamical Systems. An international journal.'
arxiv created 2009/09/23 · arxiv updated 2010/05/20
We demonstrate the usefulness of anholonomic frames in the contexts of nonholonomic and vakonomic systems. We take a consistently differential-geometric approach. As an application, we investigate the conditions under which the dynamics of the two systems will be consistent. A few illustrative examples confirm the results.