17 citations · 51 across the 7 of their papers we have counts for
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math.DS2018★ 4 cited
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…
math.DS2018★ 9 cited
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…
math.DS2018★ 4 cited
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.