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

Xiuxiu Kang, Huimei Xu, Yingchen Jiang, Xiaoming Liang and Xiyun Zhang
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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

International Journal of Modern Physics C (IJMPC), 2023, vol. 34, issue 01, 1-10

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.

Keywords: Signal amplification; bistable oscillator; weight ratio; positive coupling; negative coupling (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0129183122501698

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