https://doi.org/10.1140/epjs/s11734-025-01725-6
Regular Article
Weak signal amplification induced by feedback coupling in a Y-shaped chain
1
School of Mathematics and Physics, China University of Geosciences, 430074, Wuhan, China
2
Mental health Center, Renmin Hospital of Wuhan University, 430060, Wuhan, China
3
Judicial Appraisal Institute, Renmin Hospital of Hubei Province, 430060, Wuhan, China
Received:
27
March
2025
Accepted:
2
June
2025
Published online:
21
June
2025
Revealing how biological systems efficiently detect, process and transmit weak signal through specific structures can help understand signaling processes in the brain. Weak signal amplification driven by feedback coupling was examined in a Y-shaped chain coupled bistable system. Both the numerical and analytical results indicate that: i, Feedback coupling can cause coupling resonance, that is, when the feedback coupling strength is in the intermediate range, the weak signal can be successfully amplified. The cause of this phenomenon is that the oscillation equilibrium points of the three oscillators stabilize near zero, and the oscillation amplitude increases sharply. ii, The interlayer coupling can also trigger dynamic transitions and coupling resonances. As the feedback coupling increases, the signal amplification factor shows a bell-shaped structure at different interlayer coupling strengths. And the higher the feedback coupling strength, the weaker signals can be successfully amplified under a wider range of interlayer coupling strengths. Our qualitative analysis of the feedback coupling provides a theoretical basis for the study of signal amplification in neural system.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.