期刊
CHAOS
卷 23, 期 1, 页码 -出版社
AMER INST PHYSICS
DOI: 10.1063/1.4793542
关键词
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资金
- University Grants Commission (UGC), India
- Spanish Ministry of Science and Innovation [FIS2009-09898]
We report our investigation on the effect of multiple time-delay on vibrational resonance in a single Duffing oscillator and in a system of n Duffing oscillators coupled unidirectionally and driven by both a low-and a high-frequency periodic force. For the single oscillator, we obtain analytical expressions for the response amplitude Q and the amplitude g of the high-frequency force at which resonance occurs. The regions in parameter space of enhanced Q at resonance, as compared to the case in absence of time-delay, show a bands-like structure. For the two-coupled oscillators, we explain all the features of variation of Q with the control parameter g. For the system of n-coupled oscillators with a single time-delay coupling, the response amplitudes of the oscillators are shown to be independent of the time-delay. In the case of a multi time-delayed coupling, undamped signal propagation takes place for coupling strength (delta) above a certain critical value (denoted as delta(u)). Moreover, the response amplitude approaches a limiting value Q(L) with the oscillator number i. We obtain analytical expressions for both delta(u) and Q(L). (C) 2013 American Institute of Physics. [http://dx.doi.org/10.1063/1.4793542]
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