中国物理B ›› 2023, Vol. 32 ›› Issue (2): 20501-020501.doi: 10.1088/1674-1056/ac6945

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Realizing reliable XOR logic operation via logical chaotic resonance in a triple-well potential system

Huamei Yang(杨华美)1 and Yuangen Yao(姚元根)2,†   

  1. 1 School of Intelligent Construction, Wuchang University of Technology, Wuhan 430223, China;
    2 Department of Physics, College of Science, Huazhong Agricultural University, Wuhan 430070, China
  • 收稿日期:2022-01-23 修回日期:2022-04-20 接受日期:2022-04-22 出版日期:2023-01-10 发布日期:2023-01-10
  • 通讯作者: Yuangen Yao E-mail:yyg@mail.hzau.edu.cn
  • 基金资助:
    Project supported by the Technology Innovation Team Program in Higher Education Institutions in Hubei Province, China (Grant No. T2020039).

Realizing reliable XOR logic operation via logical chaotic resonance in a triple-well potential system

Huamei Yang(杨华美)1 and Yuangen Yao(姚元根)2,†   

  1. 1 School of Intelligent Construction, Wuchang University of Technology, Wuhan 430223, China;
    2 Department of Physics, College of Science, Huazhong Agricultural University, Wuhan 430070, China
  • Received:2022-01-23 Revised:2022-04-20 Accepted:2022-04-22 Online:2023-01-10 Published:2023-01-10
  • Contact: Yuangen Yao E-mail:yyg@mail.hzau.edu.cn
  • Supported by:
    Project supported by the Technology Innovation Team Program in Higher Education Institutions in Hubei Province, China (Grant No. T2020039).

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摘要： There exists an optimal range of intensity of a chaotic force in which the behavior of a chaos-driven bistable system with two weak inputs can be consistently mapped to a specific logic output. This phenomenon is called logical chaotic resonance (LCR). However, realization of a reliable exclusive disjunction (XOR) through LCR has not been reported. Here, we explore the possibility of using chaos to enhance the reliability of XOR logic operation in a triple-well potential system via LCR. The success probability $P$ of obtaining XOR logic operation can take the maximum value of 1 in an optimal window of intensity $D$ of a chaotic force. Namely, success probability $P$ displays characteristic bell-shaped behavior by altering the intensity of the chaotic driving force, indicating the occurrence of LCR. Further, the effects of periodic force on LCR have been investigated. For a subthreshold chaotic force, a periodic force with appropriate amplitude and frequency can help enhance the reliability of XOR logic operation. Thus, LCR can be effectively regulated by changing the amplitude and frequency of the periodic force.

关键词: stochastic resonance, logical stochastic resonance, logical chaotic resonance, XOR logic, triple-well potential system

Abstract: There exists an optimal range of intensity of a chaotic force in which the behavior of a chaos-driven bistable system with two weak inputs can be consistently mapped to a specific logic output. This phenomenon is called logical chaotic resonance (LCR). However, realization of a reliable exclusive disjunction (XOR) through LCR has not been reported. Here, we explore the possibility of using chaos to enhance the reliability of XOR logic operation in a triple-well potential system via LCR. The success probability $P$ of obtaining XOR logic operation can take the maximum value of 1 in an optimal window of intensity $D$ of a chaotic force. Namely, success probability $P$ displays characteristic bell-shaped behavior by altering the intensity of the chaotic driving force, indicating the occurrence of LCR. Further, the effects of periodic force on LCR have been investigated. For a subthreshold chaotic force, a periodic force with appropriate amplitude and frequency can help enhance the reliability of XOR logic operation. Thus, LCR can be effectively regulated by changing the amplitude and frequency of the periodic force.

Key words: stochastic resonance, logical stochastic resonance, logical chaotic resonance, XOR logic, triple-well potential system

中图分类号:  (Nonlinear dynamics and chaos)

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