24 citations · 46 across the 3 of their papers we have counts for
3 papers
math-ph2011
Hamiltonization and geometric integration of nonholonomic mechanical systems
T. Mestdag, A. M. Bloch, O. E. Fernandez
In this paper we study a Hamiltonization procedure for mechanical systems with velocity-depending (nonholonomic) constraints. We first rewrite the nonholonomic equations of motion…
math-ph2009★ 24 cited
A Generalization of Chaplygin's Reducibility Theorem
O. E. Fernandez, T. Mestdag, A. M. Bloch
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 i…
math-ph2008★ 22 cited
Hamiltonization of Nonholonomic Systems and the Inverse Problem of the Calculus of Variations
A. M. Bloch, O. E. Fernandez, T. Mestdag
We introduce a method which allows one to recover the equations of motion of a class of nonholonomic systems by finding instead an unconstrained Hamiltonian system on the full phas…