论文标题
延迟引起的共振抑制阻尼引起的不可预测性
Delay-induced resonance suppresses damping-induced unpredictability
论文作者
论文摘要
在本文中考虑了阻尼和强迫效果不足的时间拖延振荡器中的组合作用。由于互化振荡的逐渐抑制，我们分析了某种阻尼引起的不可预测性的产生。我们发现强迫幅度的最小量和正确的强迫频率可以恢复耗散的效果，因此对于不同的时间延迟值，可以恢复互轴振荡。这是通过使用延迟引起的共振来实现的，在这种共振中，时间延迟替换了振动共振中存在的两个周期性强制之一。关于延迟引起的共振的强迫临界值的时间延迟的讨论最终被驯服。
Combined effects of the damping and forcing in the underdamped time-delayed Duffing oscillator are considered in this paper. We analyze the generation of a certain damping-induced unpredictability, due to the gradual suppression of interwell oscillations. We find the minimal amount of the forcing amplitude and the right forcing frequency to revert the effect of the dissipation, so that the interwell oscillations can be restored, for different time delay values. This is achieved by using the delay-induced resonance, in which the time delay replaces one of the two periodic forcings present in the vibrational resonance. A discussion in terms of the time delay of the critical values of the forcing for which the delay-induced resonance can tame the dissipation effect is finally carried out.
