中国物理B ›› 2023, Vol. 32 ›› Issue (1): 10504-010504.doi: 10.1088/1674-1056/ac9363

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Influence of coupling asymmetry on signal amplification in a three-node motif

Xiaoming Liang(梁晓明)1,†, Chao Fang(方超)1, Xiyun Zhang(张希昀)2, and Huaping Lü(吕华平)1   

  1. 1 School of Physics and Electronic Engineering, Jiangsu Normal University, Xuzhou 221116, China;
    2 Department of Physics, Jinan University, Guangzhou 510632, China
  • 收稿日期:2022-07-05 修回日期:2022-09-02 接受日期:2022-09-21 出版日期:2022-12-08 发布日期:2022-12-23
  • 通讯作者: Xiaoming Liang E-mail:xmliang@jsnu.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 12175087 and 12105117).

Influence of coupling asymmetry on signal amplification in a three-node motif

Xiaoming Liang(梁晓明)1,†, Chao Fang(方超)1, Xiyun Zhang(张希昀)2, and Huaping Lü(吕华平)1   

  1. 1 School of Physics and Electronic Engineering, Jiangsu Normal University, Xuzhou 221116, China;
    2 Department of Physics, Jinan University, Guangzhou 510632, China
  • Received:2022-07-05 Revised:2022-09-02 Accepted:2022-09-21 Online:2022-12-08 Published:2022-12-23
  • Contact: Xiaoming Liang E-mail:xmliang@jsnu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 12175087 and 12105117).

摘要: The three-node feedforward motif has been revealed to function as a weak signal amplifier. In this motif, two nodes (input nodes) receive a weak input signal and send it unidirectionally to the third node (output node). Here, we change the motif's unidirectional couplings (feedforward) to bidirectional couplings (feedforward and feedback working together). We find that a small asymmetric coupling, in which the feedforward effect is stronger than the feedback effect, may enable the three-node motif to go through two distinct dynamic transitions, giving rise to a double resonant signal response. We present an analytical description of the double resonance, which agrees with the numerical findings.

关键词: network motif, synchronization, coupling asymmetry, signal amplification

Abstract: The three-node feedforward motif has been revealed to function as a weak signal amplifier. In this motif, two nodes (input nodes) receive a weak input signal and send it unidirectionally to the third node (output node). Here, we change the motif's unidirectional couplings (feedforward) to bidirectional couplings (feedforward and feedback working together). We find that a small asymmetric coupling, in which the feedforward effect is stronger than the feedback effect, may enable the three-node motif to go through two distinct dynamic transitions, giving rise to a double resonant signal response. We present an analytical description of the double resonance, which agrees with the numerical findings.

Key words: network motif, synchronization, coupling asymmetry, signal amplification

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
87.19.ln (Oscillations and resonance)