The Point Charge Oscillator: Qualitative and Analytical Investigations

摘要

We study the mathematical model of the point charge oscillator which has been derived by A. Belendez et al. 2. First we determine the global phase portrait of this model in the Poincare disk. It consists of a family of closed orbits surrounding the unique finite equilibrium point and of a continuum of homoclinic orbits to the unique equilibrium point at infinity.