17 citations · 51 across the 7 of their papers we have counts for
4 papers · 1 filter
Regularized variational principles for the perturbed Kepler problem
Vivina Barutello, Rafael Ortega, Gianmaria Verzini
The goal of the paper is to develop a method that will combine the use of variational techniques with regularization methods in order to study existence and multiplicity results fo…
Periodic solutions and regularization of a Kepler problem with time-dependent perturbation
Alberto Boscaggin, Rafael Ortega, Lei Zhao
We consider a Kepler problem in dimension two or three, with a time-dependent -periodic perturbation. We prove that for any prescribed positive integer , there exist at least…
Periodic solutions of a perturbed Kepler problem in the plane: from existence to stability
Alberto Boscaggin, Rafael Ortega
The existence of elliptic periodic solutions of a perturbed Kepler problem is proved. The equations are in the plane and the perturbation depends periodically on time. The proof is…
Asymptotic stability of forced oscillations emanating from a limit cycle
O. Makarenkov, R. Ortega
Classical conditions for asymptotic stability of periodic solutions bifurcating from a limit cycle rely on the derivative of the corresponding bifurcation function F at the bifurca…