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Ordered chaotic bursting and multiple coherence resonance by time-periodic coupling strength in Newman–Watts neuronal networks

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  • Wang, Li
  • Gong, Yubing
  • Lin, Xiu

Abstract

In this paper, we study the effect of time-periodic coupling strength (TPCS) on the temporal coherence of the chaotic bursting of Newman–Watts thermosensitive neuron networks. It is found that the chaotic bursting can exhibit coherence resonance and multiple coherence resonance behavior when TPCS amplitude and frequency is varied, respectively. It is also found that TPCS can also enhance the temporal coherence and spatial synchronization of the optimal spatio-temporal bursting in the case of fixed coupling strength. These results show that TPCS can tame the chaotic bursting and can repeatedly enhance the temporal coherence of the chaotic bursting neuronal networks. This implies that TPCS may play a more efficient role for improving the time precision of the information processing in chaotic bursting neurons.

Suggested Citation

  • Wang, Li & Gong, Yubing & Lin, Xiu, 2012. "Ordered chaotic bursting and multiple coherence resonance by time-periodic coupling strength in Newman–Watts neuronal networks," Chaos, Solitons & Fractals, Elsevier, vol. 45(2), pages 131-136.
    • Handle: RePEc:eee:chsofr:v:45:y:2012:i:2:p:131-136
    DOI: 10.1016/j.chaos.2011.11.001
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    References listed on IDEAS

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    1. M. E. J. Newman & D. J. Watts, 1999. "Renormalization Group Analysis of the Small-World Network Model," Working Papers 99-04-029, Santa Fe Institute.
    2. Perc, Matjaž, 2007. "Effects of small-world connectivity on noise-induced temporal and spatial order in neural media," Chaos, Solitons & Fractals, Elsevier, vol. 31(2), pages 280-291.
    3. Yan Gai & Brent Doiron & John Rinzel, 2010. "Slope-Based Stochastic Resonance: How Noise Enables Phasic Neurons to Encode Slow Signals," PLOS Computational Biology, Public Library of Science, vol. 6(6), pages 1-15, June.
    4. M. E. J. Newman & D. J. Watts, 1999. "Scaling and Percolation in the Small-World Network Model," Working Papers 99-05-034, Santa Fe Institute.
    5. Perc, Matjaž, 2007. "Spatial coherence resonance in neuronal media with discrete local dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 64-69.
    6. M. Gosak & M. Perc & S. Kralj, 2011. "Stochastic resonance in a locally excited system of bistable oscillators," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 80(4), pages 519-528, April.
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    Cited by:

    1. Xiao, Fangli & Fu, Ziying & Jia, Ya & Yang, Lijian, 2023. "Resonance effects in neuronal-astrocyte model with ion channel blockage," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).

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