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 anti-phase. 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.