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Enhanced logical vibrational resonance in a two-well potential system

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  • Gui, Rong
  • Wang, Yue
  • Yao, Yuangen
  • Cheng, Guanghui

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.

Suggested Citation

  • Gui, Rong & Wang, Yue & Yao, Yuangen & Cheng, Guanghui, 2020. "Enhanced logical vibrational resonance in a two-well potential system," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    • Handle: RePEc:eee:chsofr:v:138:y:2020:i:c:s0960077920303519
    DOI: 10.1016/j.chaos.2020.109952
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    References listed on IDEAS

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    1. Cheng, Guanghui & Liu, Weidan & Gui, Rong & Yao, Yuangen, 2020. "Sine-Wiener bounded noise-induced logical stochastic resonance in a two-well potential system," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    2. Wu, Juan & Xu, Yong & Ma, Shaojuan, 2019. "Realizing the transformation of logic gates in a genetic toggle system under Lévy noise," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 171-179.
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    4. Yuangen Yao & Lijian Yang & Canjun Wang & Quan Liu & Rong Gui & Juan Xiong & Ming Yi, 2018. "Subthreshold Periodic Signal Detection by Bounded Noise-Induced Resonance in the FitzHugh–Nagumo Neuron," Complexity, Hindawi, vol. 2018, pages 1-10, February.
    5. Zhang, Lei & Song, Aiguo, 2018. "Realizing reliable logical stochastic resonance under colored noise by adding periodic force," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 958-968.
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    Cited by:

    1. Cheng, Guanghui & Li, Dan & Yao, Yuangen & Gui, Rong, 2023. "Multi-scroll chaotic attractors with multi-wing via oscillatory potential wells," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    2. Usama, B.I. & Morfu, S. & Marquie, P., 2021. "Vibrational resonance and ghost-vibrational resonance occurrence in Chua’s circuit models with specific nonlinearities," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    3. Jiang, Jiahao & Li, Kaiyuan & Guo, Wei & Du, Luchun, 2021. "Energetic and entropic vibrational resonance," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    4. Gui, Rong & Li, Jiaxin & Yao, Yuangen & Cheng, Guanghui, 2021. "Effect of time-delayed feedback in a bistable system inferred by logic operation," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
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    6. Wang, Guowei & Yu, Dong & Ding, Qianming & Li, Tianyu & Jia, Ya, 2021. "Effects of electric field on multiple vibrational resonances in Hindmarsh-Rose neuronal systems," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    7. Yao, Yuangen & Ma, Jun & Gui, Rong & Cheng, Guanghui, 2021. "Chaos-induced Set–Reset latch operation," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).

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