Turnover of hysteresis determines novel bursting in Duffing system with multiple-frequency external forcings
Turnover of hysteresis determines novel bursting in Duffing system with multiple-frequency external forcings
复制标题
滞后周转决定了多频外强迫杜芬系统中的新型爆发
DOI：
10.1016/j.ijnonlinmec.2016.11.008
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发表时间：
2017-03-01
影响因子：
3.2
通讯作者：
Bi, Qinsheng
中科院分区：
文献类型：
--
作者：
Han, Xiujing;Yu, Yue;Bi, Qinsheng
本文研究了多频外力作用下Duffing系统的猝发动力学，发现了新的猝发模式(即所谓的滞后翻转诱发猝发模式)。通常，在这些爆发模式的准静态过程中观察到明显的振荡。我们发现，在准静态过程中出现振荡是因为快速子系统的平衡滞后曲线变成了一条曲折的曲线，这形成了一条新的爆发途径，我们称之为滞后翻转。此外，我们还研究了强迫频率和幅值对滞后诱发猝发翻转的影响。我们的研究表明，爆发中观察到的三个频率分量由强迫频率决定，而爆发的转变取决于强迫幅度。
This paper investigates bursting dynamics of the Duffing system with multiple-frequency external forcings, in which novel bursting patterns (i.e., the so-called turnover-of-hysteresis-induced bursting patterns) can be observed. Typically, distinct oscillations are observed in the quasi-static processes of these bursting patterns. We show that the oscillations appear in the quasi-static processes because the equilibrium hysteresis curve of the fast subsystem becomes the one with twists and turns, and this forms a new route to bursting, which we call turnover of hysteresis. Besides, we investigate the effects of forcing frequencies and amplitudes on the turnover-of hysteresis-induced bursting. Our study shows that the three frequency components observed in the bursting are decided by the forcing frequencies, while the transition of the bursting depends on the forcing amplitudes.