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Optimal signal amplification in globally coupled bistable oscillators: The role of weight between positive and negative couplings

Author

Listed:
  • Xiuxiu Kang

    (School of Physics and Electronic Engineering, Jiangsu Normal University, Xuzhou 221116, People’s Republic of China)

  • Huimei Xu

    (School of Physics and Electronic Engineering, Jiangsu Normal University, Xuzhou 221116, People’s Republic of China)

  • Yingchen Jiang

    (School of Physics and Electronic Engineering, Jiangsu Normal University, Xuzhou 221116, People’s Republic of China)

  • Xiaoming Liang

    (School of Physics and Electronic Engineering, Jiangsu Normal University, Xuzhou 221116, People’s Republic of China)

  • Xiyun Zhang

    (Department of Physics, Jinan University, Guangzhou, Guangdong 510632, People’s Republic of China)

Abstract

Recently, it was revealed that uniformly positive and negative couplings perform complementary roles in the signal amplification of coupled bistable oscillators. However, the coupling weights between oscillators are usually nonuniform due to adaptivity in many nonlinear systems. For this reason, we introduce a weight ratio of positive and negative couplings and investigate how it affects the response of globally coupled bistable oscillators to a subthreshold signal. We show that the weight ratio can significantly optimize the system response to the subthreshold signal compared to the case of uniform couplings. Finally, we propose a reduced model and compare its analytical approximations with the numerical results.

Suggested Citation

  • Xiuxiu Kang & Huimei Xu & Yingchen Jiang & Xiaoming Liang & Xiyun Zhang, 2023. "Optimal signal amplification in globally coupled bistable oscillators: The role of weight between positive and negative couplings," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 34(01), pages 1-10, January.
    • Handle: RePEc:wsi:ijmpcx:v:34:y:2023:i:01:n:s0129183122501698
    DOI: 10.1142/S0129183122501698
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