73 citations · 172 across the 11 of their papers we have counts for
13 papers
Nonholonomic momentum map reduction and a Chaplygin-type foliation
Paula Balseiro, Danilo Machado Tereza
This paper presents a set-up for momentum map reduction of nonholonomic systems with symmetries, extending previous constructions in [3,25], based on the existence of certain conse…
Momentum map reduction for nonholonomic systems
Paula Balseiro, Maria E. Garcia, Cora Tori +1
This paper presents a reduction procedure for nonholonomic systems admitting suitable types of symmetries and conserved quantities. The full procedure contains two steps. The first…
First Integrals and symmetries of nonholonomic systems
Paula Balseiro, Nicola Sansonetto
In nonholonomic mechanics, the presence of constraints in the velocities breaks the well-under\-stood link between symmetries and first integrals of holonomic systems, expressed in…
Conserved quantities and Hamiltonization of nonholonomic systems
Paula Balseiro, Luis P. Yapu
This paper studies hamiltonization of nonholonomic systems using geometric tools. By making use of symmetries and suitable first integrals of the system, we explicitly define a glo…
About simple variational splines from the Hamiltonian viewpoint
Paula Balseiro, Alejandro Cabrera, Teresinha J. Stuchi +1
In this paper, we study simple splines on a Riemannian manifold from the point of view of the Pontryagin maximum principle (PMP) in optimal control theory. The control problem…
Hamiltonization of solids of revolution through reduction
Paula Balseiro
In this paper we study the relation between conserved quantities of nonholonomic systems and the hamiltonization problem employing the geometric methods of [1,3]. We illustrate the…