17 citations · 51 across the 7 of their papers we have counts for
4 papers · 1 filter
Generalized periodic orbits in some restricted three-body problems
Rafael Ortega, Lei Zhao
We treat the circular and elliptic restricted three-body problems in inertial frames as periodically forced Kepler problems with additional singularities and explain that in this s…
Stability of periodic solutions of the N-vortex problem in general domains
Björn Gebhard, Rafael Ortega
We investigate stability properties of a type of periodic solutions of the -vortex problem on general domains . The solutions in question bifurcate from r…
Periodic oscillators, isochronous centers and resonance
Rafael Ortega, David Rojas
An oscillator is called isochronous if all motions have a common period. When the system is forced by a time-dependent perturbation with the same period the dynamics may change and…
A proof of Bertrand's theorem using the theory of isochronous potentials
Rafael Ortega, David Rojas
We give an alternative proof for the celebrated Bertrand's theorem as a corollary of the isochronicity of a certain family of centers.