7 papers · 1 filter
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…
The monotonicity of the apsidal angle using the theory of potential oscillators
David Rojas
In a central force system the angle between two successive passages of a body through pericenters is called the apsidal angle. In this paper we prove that for central forces of the…
A criticality result for polycycles in a family of quadratic reversible centers
David Rojas, Jordi Villadelprat
We consider the family of dehomogenized Loud's centers where and we study the number of critical periodic…