2 citations · 4 across the 5 of their papers we have counts for
5 papers
A new approach to the vakonomic mechanics
J. Llibre, R. Ramírez, N. Sadovskaia
The aim of this paper is to show that the Lagrange-d'Alembert and its equivalent the Gauss and Appel principle are not the only way to deduce the equations of motion of the nonholo…
Various aspects of differential equations having a complete set of independent first integrals
R. Ramírez, N. Sadovskaia
In this paper we study the differential equations in having a complete set of independent first integrals. In particular we study the case when the first integ…
Cartesian approach for constrained mechanical systems
Rafael Ramírez, Natalia sadovskaia
In the history of mechanics, there have been two points of view for studying mechanical systems: Newtonian and Cartesian. According the Descartes point of view, the motion of mecha…
Quadratic vector fields with invariant algebraic curve of large degree
R. Ramirez, N. Sadovskaia
We construct a polynomial planar vector field of degree two with one invariant algebraic curves of large degree. We exhibit an explicit quadratic vector fields which invariant curv…
Cartesian approach for constrained mechanical system with three degree of freedom
Rafael Ramirez, Natalia Sadovskaia
In the history of mechanics, there have been two points of view for studying mechanical systems: The Newtonian and the Cartesian. According the Descartes point of view, the motion…