Aging transition under discrete time-dependent coupling: Restoring rhythmicity from aging

We explore the aging transition in a network of globally coupled Stuart-Landau oscillators under a discrete time-dependent coupling. In this coupling, the connections among the oscillators are turned ON and OFF in a systematic manner, having either a symmetric or an asymmetric time interval. We discover that depending upon the time period and duty cycle of the ON-OFF intervals, the aging region shrinks drastically in the parameter space, therefore promoting restoration of oscillatory dynamics from the aging. In the case of symmetric discrete coupling (where the ON-OFF intervals are equal), the aging zone decreases significantly with the resumption of dynamism with an increasing time period of the ON-OFF intervals. On the other hand, in the case of asymmetric coupling (where the ON-OFF intervals are not equal), we find that the ratio of the ON and OFF intervals controls the aging dynamics: the aging state is revoked more effectively if the interval of the OFF state is greater than the ON state. Finally, we study the transition in aging using a discrete pulse coupling: we note that the pulse interval plays a crucial role in determining the aging region. For all the cases of discrete time-dependent couplings, the aging regions are shrinking and the rhythmicity gets enhanced in a controlled manner. Our findings suggest that this type of coupling can act as a noninvasive way to restore the oscillatory dynamics from an aging state in a network of coupled oscillators. (c) 2022 Elsevier Ltd. All rights reserved.

Automated summary

We investigated the aging transition in a globally coupled network of Stuart-Landau oscillators under discrete time-dependent coupling. Our findings reveal that by adjusting the time period and duty cycle of the ON-OFF intervals, the aging region can significantly shrink, leading to the restoration of oscillatory dynamics. The results also indicate that the type of coupling and pulse interval play crucial roles in controlling the aging dynamics, providing a noninvasive approach to restore oscillatory dynamics from an aging state in a coupled oscillator network.