42 citations · 66 across the 2 of their papers we have counts for
3 papers
math.OC2009★ 42 cited
Discrete Hamilton-Jacobi Theory
Tomoki Ohsawa, Anthony M. Bloch, Melvin Leok
We develop a discrete analogue of Hamilton-Jacobi theory in the framework of discrete Hamiltonian mechanics. The resulting discrete Hamilton-Jacobi equation is discrete only in tim…
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
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…