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Logical stochastic resonance in a cross-bifurcation non-smooth system |
| Yuqing Zhang(张宇青)1 and Youming Lei(雷佑铭)1,2,† |
1 School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an 710072, China;
2 Ministry of Industry and Information Technology Key Laboratory of Dynamics and Control of Complex Systems, Northwestern Polytechnical University, Xi'an 710072, China |
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Abstract This paper investigates logical stochastic resonance (LSR) in a cross-bifurcation non-smooth system driven by Gaussian colored noise. In this system, a bifurcation parameter triggers a transition between monostability, bistability and tristability. By using Novikov's theorem and the unified colored noise approximation method, the approximate Fokker-Planck equation is obtained. Then we derive the generalized potential function and the transition rates to analyze the LSR phenomenon using numerical simulations. We simulate the logic operation of the system in the bistable and tristable regions respectively. We assess the impact of Gaussian colored noise on the LSR and discover that the reliability of the logic response depends on the noise strength and the bifurcation parameter. Furthermore, it is found that the bistable region has a more extensive parameter range to produce reliable logic operation compared with the tristable region, since the tristable region is more sensitive to noise than the bistable one.
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Received: 09 June 2023
Revised: 08 August 2023
Accepted manuscript online: 17 August 2023
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PACS:
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82.40.Bj
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(Oscillations, chaos, and bifurcations)
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05.10.Gg
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(Stochastic analysis methods)
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87.10.Rt
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(Monte Carlo simulations)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 12072262) and the Shaanxi Computer Society & Xiangteng Company Foundation. |
Corresponding Authors:
Youming Lei
E-mail: leiyouming@nwpu.edu.cn
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Cite this article:
Yuqing Zhang(张宇青) and Youming Lei(雷佑铭) Logical stochastic resonance in a cross-bifurcation non-smooth system 2024 Chin. Phys. B 33 038201
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