Enhanced logical vibrational resonance in a two-well potential system

Rong Gui, Yue Wang, Yuangen Yao and Guanghui Cheng

Chaos, Solitons & Fractals, 2020, vol. 138, issue C

Abstract: Various external driving forces can induce logical stochastic or vibrational resonance, such as noise, harmonics, and the combination of noise and harmonics. In engineering, using harmonics as driving force is more conducive to the control of logic operations, while a wider optimal parameter region and a shorter switching time are expected in practice to improve the robustness and response speed of system. Here, we report the logical vibrational resonance in a two-well potential system subjected to biharmonics. Our results show that the variable frequency (VF) (one harmonic) could broaden the optimal parameter region when an appropriate weak long-period signal is chosen as the fundamental frequency (FF) (the other harmonic). An intuitive interpretation for LVR is given by means of bifurcation and potential well diagrams. In addition, according to dynamic potential wells varying with input signal, four different kinds of switching modes are presented, and the switching time presents differences for different switching modes. There may be a trade-off between fast response and the robustness of system. Noise obviously affects the optimal parameter region of VF and the switching time. Finally, some results are further verified by circuit simulation.

Keywords: Logical stochastic resonance; Logical vibrational resonance; Bistable system; Switching time (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:138:y:2020:i:c:s0960077920303519

DOI: 10.1016/j.chaos.2020.109952

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