Chaos and Synchronization in the UJT Relaxation Oscillator

In this work we present the study of the dynamical behaviour of a two-dimensional system modelling the UJT (Unipolar Junction Transistor) relaxation oscillator. We show that by perturbing the system, the dynamics may undergo to chaos via a quasi-periodicity route, as experimentally observed in previous studies. Additionally, two diffusively coupled oscillators can mutually synchronized and evolve in unison, in phase or antiphase. Here, we also propose an extension of the synchronization study to a generic network of coupled oscillators. To this end, and to anticipate the onset of the transition, we performed a bifurcation analysis assuming the homogeneous synchronized state as the reference unperturbed frame.