Bursting Near Homoclinic Bifurcation in Two Coupled Chua Oscillators

Abstract

We report experimental observation of cycle-cycle bursting near homoclinic bifurcation in a self-oscillating Chua oscillator when it is diffusively coupled to another excitable Chua oscillator. The excitable oscillator induces an asymmetry in the self-oscillating Chua oscillator via coupling. The coupling strength controls the strength of the asymmetry that plays a key role in transition to bursting near homoclinic bifurcation.