Combined effects of the damping and forcing in the underdamped time-delayed Duffing oscillator are considered in this paper. We analyse 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. This article is part of the theme issue ‘Vibrational and stochastic resonance in driven nonlinear systems (part 1)’.

中文翻译：

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延迟引起的共振抑制阻尼引起的不可预测性

本文考虑了欠阻尼时滞 Duffing 振荡器中阻尼和强迫的综合影响。我们分析了由于井间振荡的逐渐抑制而产生的某种阻尼引起的不可预测性。我们找到了最小的强迫幅度和正确的强迫频率来恢复耗散的影响，从而可以恢复井间振荡，对于不同的时间延迟值。这是通过使用延迟感应共振来实现的，其中时间延迟取代了振动共振中存在的两个周期性强迫之一。最后进行了关于强迫临界值的时间延迟的讨论，延迟引起的共振可以驯服耗散效应。