Individual and Collective Transient Behavior near Daido's Aging Transition

We report on individual and collective behavior of an ensemble of electronic oscillators near the Daido aging transition. Work by Diado and others indicate that the collective response in an aging transition of identical oscillators should possess dynamics that are nearly identical to that of the individuals. Theoretical calculations for our oscillators predict a Hopf transition, which we have confirmed with measurements of individual transient behavior. However, it was previously reported that the collective behavior of these oscillators near the aging transition exhibited an intriguing discontinuity, seemingly contradicting the above conjecture. It turns out that this seeming contradiction arose from a high sensetivity to the system bifurcation value. We will explore the boundaries of Daido's hypothesis and examine how variation in non-bifurcation parameters across the population lead to collective behavior that differs from that of an individual oscillator.