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Resonance induced by mixed couplings in a three-node motif

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Abstract

Inspired by the coexistence of excitatory and inhibitory neurons in real neural networks, we propose a motif of three coupled nodes, one with positive coupling and two with negative couplings, for signal amplification. Utilizing the bistable overdamped oscillator as well as the excitable neuron models, we show that the response of the motif is optimized for an intermediate range of coupling strength, i.e., coupling-induced resonance. Through theoretical analyses, we find that the underlying mechanism for the resonance is an abrupt pitchfork bifurcation caused by the mixed positive and negative couplings.

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Acknowledgements

X.L. was supported by the NNSF of China under Grant No. 11305078. We thank the anonymous reviewers for critical comments that helped improve the paper.

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Authors and Affiliations

  1. School of Physics and Electronic Engineering, Jiangsu Normal University, Xuzhou, 221116, China

    Cong Liu & Xiaoming Liang

  2. Department of Physics, Jinan University, Guangzhou, 510632, Guangdong, China

    Xiyun Zhang

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  1. Cong Liu
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  2. Xiyun Zhang
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Correspondence to Xiaoming Liang.

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Liu, C., Zhang, X. & Liang, X. Resonance induced by mixed couplings in a three-node motif. Nonlinear Dyn 102, 635–642 (2020). https://doi.org/10.1007/s11071-020-05893-z

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