共振延迟方程
Resonating Delay Equation
摘要:
本文提出了一个时滞微分方程,它表现出一种新型的共振振荡动力学。振荡瞬态动力学出现和消失的延迟之间的零到渐近大延迟增加。通过适当调整延迟,观察到动力学轨迹的功率谱的最佳高度。这种共振行为与一般行为形成对比,在一般行为中,延迟参数的增加导致振荡的持续或更复杂的动力学。
英文摘要:
We propose here a delay differential equation that exhibits a new type of resonating oscillatory dynamics. The oscillatory transient dynamics appear and disappear as the delay is increased between zero to asymptotically large delay. The optimal height of the power spectrum of the dynamical trajectory is observed with the suitably tuned delay. This resonant behavior contrasts itself against the general behaviors where an increase of delay parameter leads to the persistence of oscillations or more complex dynamics.
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