1 citations · 2 across the 11 of their papers we have counts for
12 papers
Symmetry reduction and reconstruction in contact geometry and Lagrange-Poincaré-Herglotz equations
Alexandre Anahory Simoes, Leonardo Colombo, Manuel de Leon +2
In this paper, we investigate the reduction process of a contact Lagrangian system whose Lagrangian is invariant under a group of symmetries. We give explicit coordinate expression…
Comparison of two numerical methods for Riemannian cubic polynomials on Stiefel manifolds
Alexandre Anahory Simoes, Leonardo Colombo, Fátima Silva Leite
In this paper we compare two numerical methods to integrate Riemannian cubic polynomials on the Stiefel manifold . The first one is the adjusted de Casteljau alg…
On the Geometry of Virtual Nonlinear Nonholonomic Constraints
Efstratios Stratoglou, Alexandre Anahory Simoes, Anthony Bloch +1
Virtual constraints are relations imposed on a control system that become invariant via feedback control, as opposed to physical constraints acting on the system. Nonholonomic syst…
Contact formalism for dissipative mechanical systems on Lie algebroids
Alexandre Anahory Simoes, Leonardo Colombo, Manuel de Leon +2
In this paper, we introduce a geometric description of contact Lagrangian and Hamiltonian systems on Lie algebroids in the framework of contact geometry, using the theory of prolon…
Jacobi structure for dissipative mechanical systems on Lie Algebroids
Alexandre Anahory Simoes, Leonardo Colombo, Manuel de Leon +2
We extend the Jacobi structure from and to and , respectively, where is a Lie alge…
Hamel equations and quasivelocities for nonholonomic systems with inequality constraints
Alexandre Anahory Simoes, Leonardo Colombo
In this paper we derive Hamel equations for the motion of nonholonomic systems subject to inequality constraints in quasivelocities. As examples, the vertical rolling disk hitting…