9 citations · 14 across the 7 of their papers we have counts for
9 papers
Periodic bouncing solutions of the Lazer-Solimini equation with weak repulsive singularity
David Rojas, Pedro J. Torres
We prove the existence and multiplicity of periodic solutions of bouncing type for a second-order differential equation with a weak repulsive singularity. Such solutions can be cat…
Resonance of bounded isochronous oscillators
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 phenomenon of resonance…
Asymptotic development of an integral operator and boundedness of the criticality of potential centers
David Rojas
We study the asymptotic development at infinity of an integral operator. We use this development to give sufficient conditions in order to upper bound the number of critical period…
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.
On the upper bound of the criticality of potential systems at the outer boundary using the Roussarie-Ecalle compensator
David Rojas
This paper is concerned with the study of the criticality of families of planar centers. More precisely, we study sufficient conditions to bound the number of critical periodic orb…