论文标题
离散时间依赖性耦合下的衰老过渡:恢复衰老的节奏性
Aging transition under discrete time-dependent coupling: Restoring rhythmicity from aging
论文作者
论文摘要
我们探索了在离散时间依赖时间耦合下的全球耦合Stuart-Landau振荡器网络中的衰老转变。在这种耦合中,具有对称时间间隔或不对称时间间隔,振荡器之间的连接以系统的方式打开和关闭。我们发现,取决于开关间隔的时间周期和占空比,衰老区域在参数空间中急剧缩小,因此促进了衰老中振荡动力学的恢复。在对称离散耦合的情况下(在开关间隔相等的情况下),随着动态恢复的恢复,衰老区域随着启动间隔的增加而显着降低。另一方面,在不对称耦合的情况下(在开关间隔不相等的情况下),我们发现开路和关节间隔的比率控制着老化的动力学:如果OFF状态的间隔大于OFF状态的间隔大于状态。最后,我们使用离散的脉冲耦合研究衰老的转变:我们注意到脉冲间隔在确定衰老区域起着至关重要的作用。对于所有离散时间依赖性耦合的情况,老化区域都在收缩,节奏性以受控方式得到增强。我们的发现表明,这种类型的耦合可以作为一种无创的方法,可以在耦合振荡器网络中从衰老状态恢复振荡动力学。
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.