Add to ORKGWe go through the basic theory of simple mehcanical systems on Riemannain manifolds with symmetry, in an attempt to understand some of the main features of configuration space reduction. As a part of this, we will look at some special cases for whom this works out well, and also indicate a direction of further development
If a mechanical system experiences symmetry, the Lagrangian becomes invariant under a certain group ...
Consider a Riemannian manifold equipped with an infinitesimal isometry. For this setup, a unified tr...
Reduction theory for mechanical systems with symmetry has its roots in the clas-sical works in mecha...
Reduction theory is concerned with mechanical systems with symmetries. It constructs a lower dimens...
An overview is first given of reduction for simple mechanical systems (i.e., those whose Lagrangians...
Abstract. We develop reduction theory for controlled Lagrangian and controlled Hamiltonian systems w...
Abstract: Mechanic system invariant manifolds of energy and linear integrals are investiga...
A complete presentation of the theory of differential spaces, with applications to the study of sing...
We give a unified framework for the construction of symplectic manifolds from systems with symmetrie...
26 pages.-- PACS: 45.30.+sA general model is proposed for constrained dynamical systems on a symplec...
Abstract. This paper explores the role of symmetries and reduction in nonlinear control and optimal ...
A configuration space is a space whose points represent the possible states of a given physical syst...
This paper begins by introducing the notion of a simple hybrid mechanical system, which generalizes ...
This paper presents a geometrical approach to the dynamical reduction of a class of constrained mech...
This paper presents a geometrical approach to the dynamical reduction of a class of constrained mech...
If a mechanical system experiences symmetry, the Lagrangian becomes invariant under a certain group ...
Consider a Riemannian manifold equipped with an infinitesimal isometry. For this setup, a unified tr...
Reduction theory for mechanical systems with symmetry has its roots in the clas-sical works in mecha...
Reduction theory is concerned with mechanical systems with symmetries. It constructs a lower dimens...
An overview is first given of reduction for simple mechanical systems (i.e., those whose Lagrangians...
Abstract. We develop reduction theory for controlled Lagrangian and controlled Hamiltonian systems w...
Abstract: Mechanic system invariant manifolds of energy and linear integrals are investiga...
A complete presentation of the theory of differential spaces, with applications to the study of sing...
We give a unified framework for the construction of symplectic manifolds from systems with symmetrie...
26 pages.-- PACS: 45.30.+sA general model is proposed for constrained dynamical systems on a symplec...
Abstract. This paper explores the role of symmetries and reduction in nonlinear control and optimal ...
A configuration space is a space whose points represent the possible states of a given physical syst...
This paper begins by introducing the notion of a simple hybrid mechanical system, which generalizes ...
This paper presents a geometrical approach to the dynamical reduction of a class of constrained mech...
This paper presents a geometrical approach to the dynamical reduction of a class of constrained mech...
If a mechanical system experiences symmetry, the Lagrangian becomes invariant under a certain group ...
Consider a Riemannian manifold equipped with an infinitesimal isometry. For this setup, a unified tr...
Reduction theory for mechanical systems with symmetry has its roots in the clas-sical works in mecha...