2 citations · 2 across the 5 of their papers we have counts for
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math.DS2014
An inverse approach to the center-foci problem
Rafael Ramírez, Valentín Ramírez
The classical Center-Focus Problem posed by H. Poincaré in 1880's is concerned on the characterization of planar polynomial vector fields $X=(-y+P(x,y))\dfrac{\partial}{\partial x}…
math.DS2009
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…
math.DS2009★ 2 cited
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…