Add to ORKGAbstract. A close relationship between the classical Hamilton-Jacobi theory and the kinematic reduction of control systems by decoupling vector fields is shown in this paper. The geometric in-terpretation of this relationship relies on new mathematical tech-niques for mechanics defined on a skew-symmetric algebroid. This geometric structure allows us to describe in a simplified way the mechanics of nonholonomic systems with both control and external forces. Dedicated to Tudor Ratiu on the occasion of his 60th birthday 1
We present a new geometric framework for the Hamilton-Jacobi problem (for reg-ular autonomous system...
Following the analysis we have presented in a previous paper (that we refer to as [I]), we describe ...
Consider a Riemannian manifold equipped with an infinitesimal isometry. For this setup, a unified tr...
A close relationship between the classical Hamilton- Jacobi theory and the kinematic reduction of co...
Abstract. In this paper, we construct Hamilton-Jacobi equations for a great variety of mechanical sy...
Abstract. In this paper, we study the underlying geometry in the classical Hamilton-Jacobi equation....
In this survey, we review the classical Hamilton Jacobi theory from a geometric point of view in dif...
Open access version at https://arxiv.org/pdf/1810.04962.pdfWe discuss, in all generality, the reduct...
In this paper, we develop a Hamilton¿Jacobi theory for forced Hamiltonian and Lagrangian systems. We...
The first part of the thesis discusses an extension of Hamilton-Jacobi theory to nonholonomic mechan...
The geometric formulation of Hamilton--Jacobi theory for systems with nonholonomic constraints is de...
The paper under review is devoted to the task of expressing the principles of classical dynamics in ...
A review of analytical mechanics in the language of differential geometry is given. The classical fo...
This paper compares the Hamiltonian approach to systems with nonholonomic constraints (see Weber [19...
This paper presents a geometrical approach to the dynamical reduction of a class of constrained mech...
We present a new geometric framework for the Hamilton-Jacobi problem (for reg-ular autonomous system...
Following the analysis we have presented in a previous paper (that we refer to as [I]), we describe ...
Consider a Riemannian manifold equipped with an infinitesimal isometry. For this setup, a unified tr...
A close relationship between the classical Hamilton- Jacobi theory and the kinematic reduction of co...
Abstract. In this paper, we construct Hamilton-Jacobi equations for a great variety of mechanical sy...
Abstract. In this paper, we study the underlying geometry in the classical Hamilton-Jacobi equation....
In this survey, we review the classical Hamilton Jacobi theory from a geometric point of view in dif...
Open access version at https://arxiv.org/pdf/1810.04962.pdfWe discuss, in all generality, the reduct...
In this paper, we develop a Hamilton¿Jacobi theory for forced Hamiltonian and Lagrangian systems. We...
The first part of the thesis discusses an extension of Hamilton-Jacobi theory to nonholonomic mechan...
The geometric formulation of Hamilton--Jacobi theory for systems with nonholonomic constraints is de...
The paper under review is devoted to the task of expressing the principles of classical dynamics in ...
A review of analytical mechanics in the language of differential geometry is given. The classical fo...
This paper compares the Hamiltonian approach to systems with nonholonomic constraints (see Weber [19...
This paper presents a geometrical approach to the dynamical reduction of a class of constrained mech...
We present a new geometric framework for the Hamilton-Jacobi problem (for reg-ular autonomous system...
Following the analysis we have presented in a previous paper (that we refer to as [I]), we describe ...
Consider a Riemannian manifold equipped with an infinitesimal isometry. For this setup, a unified tr...