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Correlated noise induced spatiotemporal coherence resonance in a square lattice network

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  • Sun, Xiaojuan
  • Lu, Qishao
  • Kurths, Jürgen

Abstract

The effects of additive correlated noise, which is composed of common Gaussian white noise and local Gaussian colored noise, on a square lattice network locally modelled by the Rulkov map are studied. We focus on the ability of noise to induce pattern formation in a resonant manner. It is shown that local Gaussian colored noise is able to induce pattern formation, which is more coherent at some noise intensity or correlation time, so it is able to induce spatiotemporal coherence resonance in the network. When common Gaussian white noise is applied in addition, it is seen that the correlated noise can induce coherent spatial structures at some intermediate noise correlation, while this is not the case for smaller and larger noise intensities. The mechanism of the observed spatiotemporal coherence resonance is discussed. It is also found that the correlation time of local colored noise has no evident effect on the optimal value of the noise strength for spatiotemporal coherence resonance in the network.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:26:p:6679-6685
    DOI: 10.1016/j.physa.2008.08.027
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    References listed on IDEAS

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    1. Perc, Matjaž, 2007. "Fluctuating excitability: A mechanism for self-sustained information flow in excitable arrays," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 1118-1124.
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    Cited by:

    1. Mei, Ruoxing & Xu, Yong & Li, Yongge & Kurths, Jürgen, 2020. "The steady current analysis in a periodic channel driven by correlated noises," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
    2. Wu, Hao & Jiang, Huijun & Hou, Zhonghuai, 2011. "Spatiotemporal dynamics on small-world neuronal networks: The roles of two types of time-delayed coupling," Chaos, Solitons & Fractals, Elsevier, vol. 44(10), pages 836-844.
    3. Masoliver, Maria & Masoller, Cristina & Zakharova, Anna, 2021. "Control of coherence resonance in multiplex neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).

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