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Control of coherence resonance in multiplex neural networks

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  • Masoliver, Maria
  • Masoller, Cristina
  • Zakharova, Anna

Abstract

We study the dynamics of two neuronal populations weakly and mutually coupled in a multiplexed ring configuration. We simulate the neuronal activity with the stochastic FitzHugh–Nagumo (FHN) model. The two neuronal populations perceive different levels of noise: one population exhibits spiking activity induced by supra-threshold noise (layer 1), while the other population is silent in the absence of inter-layer coupling because its own level of noise is sub-threshold (layer 2). We find that, for appropriate levels of noise in layer 1, weak inter-layer coupling can induce coherence resonance (CR), anti-coherence resonance (ACR) and inverse stochastic resonance (ISR) in layer 2. We also find that a small number of randomly distributed inter-layer links is sufficient to induce these phenomena in layer 2. Our results hold for small and large neuronal populations.

Suggested Citation

  • Masoliver, Maria & Masoller, Cristina & Zakharova, Anna, 2021. "Control of coherence resonance in multiplex neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    • Handle: RePEc:eee:chsofr:v:145:y:2021:i:c:s0960077921000199
    DOI: 10.1016/j.chaos.2021.110666
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    References listed on IDEAS

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    1. Andreev, Andrey V. & Makarov, Vladimir V. & Runnova, Anastasija E. & Pisarchik, Alexander N. & Hramov, Alexander E., 2018. "Coherence resonance in stimulated neuronal network," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 80-85.
    2. Paul M. Geffert & Anna Zakharova & Andrea Vüllings & Wolfram Just & Eckehard Schöll, 2014. "Modulating coherence resonance in non-excitable systems by time-delayed feedback," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 87(12), pages 1-13, December.
    3. Wang, Zhen & Parastesh, Fatemeh & Rajagopal, Karthikeyan & Hamarash, Ibrahim Ismael & Hussain, Iqtadar, 2020. "Delay-induced synchronization in two coupled chaotic memristive Hopfield neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    4. Anna Zakharova & Jürgen Kurths & Tatyana Vadivasova & Aneta Koseska, 2011. "Analysing Dynamical Behavior of Cellular Networks via Stochastic Bifurcations," PLOS ONE, Public Library of Science, vol. 6(5), pages 1-12, May.
    5. Sun, Xiaojuan & Lu, Qishao & Kurths, Jürgen, 2008. "Correlated noise induced spatiotemporal coherence resonance in a square lattice network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(26), pages 6679-6685.
    6. Ghosh, Saptarshi & Zakharova, Anna & Jalan, Sarika, 2018. "Non-identical multiplexing promotes chimera states," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 56-60.
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    Cited by:

    1. Feifei Yang & Xikui Hu & Guodong Ren & Jun Ma, 2023. "Synchronization and patterns in a memristive network in noisy electric field," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(6), pages 1-14, June.
    2. Jia, Junen & Wang, Chunni & Zhang, Xiaofeng & Zhu, Zhigang, 2024. "Energy and self-adaption in a memristive map neuron," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).

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