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  • Letter
  • Open Access

Quenched disorder-induced chaotic resonance: Optimal stimulus response near the edge of chaos

Cong Liu, Zhi-Xi Wu*, and Jian-Yue Guan

  • Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, and Key Laboratory of Quantum Theory and Applications of MoE, Lanzhou University, Lanzhou, Gansu 730000, China and Institute of Computational Physics and Complex Systems, Lanzhou University, Lanzhou, Gansu 730000, China

  • *Contact author: wuzhx@lzu.edu.cn
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Phys. Rev. Research 6, L042019 – Published 22 October, 2024

DOI: https://doi.org/10.1103/PhysRevResearch.6.L042019

Abstract

We study the collective stimulus response in two classical nonlinear dynamical models, the globally coupled bistable oscillators and the excitable FitzHugh-Nagumo neurons, where the coupling strength among the units are randomly distributed with fixed mean and varying variance. We find theoretically and numerically that in both models the ensemble response to a weak periodic stimulus exhibits a bell-shaped amplification manifesting a different type of resonance mechanism, namely, coupling-disorder-induced resonance, as the quenched disorder of coupling increases. Of particular interest is that the optimal collective response emerges near the order-chaos transition point, i.e., at the edge of chaos. As a promising application, we discuss briefly the potential reasonability for exploiting such a type of chaotic resonance to explain the optimal mutual information in the realistic inferior olive. Our results provide explicitly a clue that the disorderly coupled elements may utilize the coupling-disorder-induced chaos to optimize their stimulus response.

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Phys. Rev. Research 6, L042019– Published 22 October, 2024
  • Received 22 January 2024
  • Accepted 30 September 2024
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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