10 citations · 36 across the 6 of their papers we have counts for
4 papers · 1 filter
Symmetries and conservation laws of Hamiltonian systems
Liviu Popescu
In this paper we study the infinitesimal symmetries, Newtonoid vector fields, infinitesimal Noether symmetries and conservation laws of Hamiltonian systems. Using the dynamical cov…
Symmetries of second order differential equations on Lie algebroids
Liviu Popescu
In this paper we investigate the relations between semispray, nonlinear connection, dynamical covariant derivative and Jacobi endomorphism on Lie algebroids. Using these geometric…
Geometrical structures on the cotangent bundle
Liviu Popescu
In this paper we study the geometrical structures on the cotangent bundle using the notions of adapted tangent structure and regular vector fields. We prove that the dynamical cova…
The geometry of Lie algebroids and its applications to optimal control
Liviu Popescu
The paper presents the geometry of Lie algebroids and its applications to optimal control. The first part deals with the theory of Lie algebroids, connections on Lie algebroids and…