Add to ORKGEquations of motion for a system with a free and proper action of a symmetry group on the configuration space decompose into the shape space equations, gauge momentum equations and reconstruction equations. The reconstruction equations do not depend on the shape space momenta. This allows for a control in the group space in terms of control forces acting in the shape space
In this work we present a gauge principle that starts with the momentum space representation of the ...
35 pages.The presence of symmetries in a Hamiltonian system usually implies the existence of conserv...
This dissertation is concerned with dynamic modeling and kinematic control of constrained mechanical...
In this paper, we carry a detailed study of mechanical systems with configuration space Q {long righ...
The gauge mechanism is a generalization of the momentum map which links conservation laws to symmetr...
This work develops the geometry and dynamics of mechanical systems with nonholonomic constraints and...
Reduction theory is concerned with mechanical systems with symmetries. It constructs a lower dimens...
We construct momentum mappings for covariant Hamiltonian field theories using a generalization of sy...
In this dissertation, we examine a formulation of problems of undulatory robotic locomotion within t...
We consider momentum operators on intrinsically curved manifolds. Given that the momentum operators ...
This paper presents initial results on the control of mechanical systems for which group symmetries ...
The constraint manifold for the initial value problem of general relativity is a coistropic subset i...
The gauge variance of wave functionals for a gauge theory quantized in the momentum (curvature) repr...
The gauge mechanism is a generalization of the momentum map which links conservation laws to symmetr...
Motivated by the work of Leznov-Mostovoy, we classify the linear deformations of standard $2n$-dimen...
In this work we present a gauge principle that starts with the momentum space representation of the ...
35 pages.The presence of symmetries in a Hamiltonian system usually implies the existence of conserv...
This dissertation is concerned with dynamic modeling and kinematic control of constrained mechanical...
In this paper, we carry a detailed study of mechanical systems with configuration space Q {long righ...
The gauge mechanism is a generalization of the momentum map which links conservation laws to symmetr...
This work develops the geometry and dynamics of mechanical systems with nonholonomic constraints and...
Reduction theory is concerned with mechanical systems with symmetries. It constructs a lower dimens...
We construct momentum mappings for covariant Hamiltonian field theories using a generalization of sy...
In this dissertation, we examine a formulation of problems of undulatory robotic locomotion within t...
We consider momentum operators on intrinsically curved manifolds. Given that the momentum operators ...
This paper presents initial results on the control of mechanical systems for which group symmetries ...
The constraint manifold for the initial value problem of general relativity is a coistropic subset i...
The gauge variance of wave functionals for a gauge theory quantized in the momentum (curvature) repr...
The gauge mechanism is a generalization of the momentum map which links conservation laws to symmetr...
Motivated by the work of Leznov-Mostovoy, we classify the linear deformations of standard $2n$-dimen...
In this work we present a gauge principle that starts with the momentum space representation of the ...
35 pages.The presence of symmetries in a Hamiltonian system usually implies the existence of conserv...
This dissertation is concerned with dynamic modeling and kinematic control of constrained mechanical...