52 citations · 52 across the 1 of their papers we have counts for
2 papers
math-ph2014
Reduction of nonholonomic systems in two stages and Hamiltonization
Paula Balseiro, Oscar E. Fernandez
In this paper we study the reduction of a nonholonomic system by a group of symmetries in two steps. Using the so-called 'vertical-symmetry' condition, we first perform a 'compress…
math-ph2011★ 52 cited
Nonholonomic Hamilton-Jacobi Theory via Chaplygin Hamiltonization
Tomoki Ohsawa, Oscar E. Fernandez, Anthony M. Bloch +1
We develop Hamilton-Jacobi theory for Chaplygin systems, a certain class of nonholonomic mechanical systems with symmetries, using a technique called Hamiltonization, which transfo…