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Synchronization of Coupled Chay Neuron System Under Noise

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Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1244))

Abstract

In this paper, the synchronization of chemically coupled Chay neuron system with Gauss white noise is studied. The results show that Chaotic neuron system undergoes asynchronous discharges with the influence of noise, which leads to changes in the synchronous state of chemical synaptic Coupled Neuron systems. The coupled neuron system has abundant nonlinear dynamic phenomena and complex synchronization behavior, which has certain reference value for the future research in computational neuroscience, neuromedicine and neurophysiology.

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References

  1. Montani, F., Rosso, O.A., Matias, F.S., et al.: A symbolic information approach to determine anticipated and delayed synchronization in neuronal circuit models. Philos. Trans. Roy. Soc. Math. Phys. Eng. Sci. 66(6), 1011–1018 (2015)

    MathSciNet  MATH  Google Scholar 

  2. Brown, E., Moehlis, J., Holmes, P.: On the phase reduction and response dynamics of neural oscillator populations. Neural Comput. 16(4), 673–715 (2014)

    Article  Google Scholar 

  3. Pujolperé, A., Calvo, O., Matı́as, M.A., et al.: Experimental study of imperfect phase synchronization in the forced Lorenz system. Chaos Interdisc. J. Nonlin. Sci. 13(1), 319–326 (2007)

    Google Scholar 

  4. Wang, Q., Qishao, L., Chen, G.: synchronization transition induced by synaptic delay in coupled fast-spiking neurons. Int. J. Bifurcat. Chaos 18(4), 1189–1198 (2008)

    Article  MathSciNet  Google Scholar 

  5. Burd, B., Bertold, S., Macdonald, T.: Responses of infaunal composition, biomass and production to discharges from a marine outfall over the past decade. Mar. Pollut. Bull. 64(9), 1837–1852 (2012)

    Article  Google Scholar 

  6. Yang, Z.Q., Lu, Q.S.: Different types of bursting in Chay neuronal model. Sci. China 51(6), 687–698 (2008)

    Google Scholar 

  7. Li, D.X., Hu, B., Wang, J., et al.: Coherence resonance in the two-dimensional neural map driven by non-Gaussian colored noise. Int. J. Mod. Phys. B 30(5), 1650012 (2016)

    Article  Google Scholar 

  8. Yang, Z.Q., Lu, Q.S.: The integer multiple “Fold/homoclinic” bursting induced by noise in the chay neuronal model. Int. J. Nonl. Sci. Numer. Simul. 6(1), 1–6 (2005)

    Article  MathSciNet  Google Scholar 

  9. Wu, K.J., Luo, T.Q., Lu, H.W., et al.: Bifurcation study of neuron firing activity of the modified Hindmarsh-Rose model. Neural Comput. Appl. 27(3), 739–747 (2016)

    Article  Google Scholar 

  10. Boulet, L.P., Cowie, R.L., Negro, R.D., et al.: Comparison of once- with twice-daily dosing of fluticasone propionate in mild and moderate asthma. Can. Respir. J. 7(3), 239–247 (2016)

    Article  Google Scholar 

  11. Sun, Y.G., Qiang, H.Y., Xu, J., et al.: The nonlinear dynamics and anti-sway tracking control for offshore container crane on a mobile harbor. J. Mar. Sci. Technol. 25(6), 656–665 (2017)

    Google Scholar 

  12. Wu, K.J., Zhang, B.P., Tian, B., et al.: Synchronization study of Hindmarsh-Rose neuron coupled system based on numerical simulation of time delay. Cluster Comput. 20(2), 3287–3297 (2017)

    Article  Google Scholar 

  13. Chay, T.R.: Chaos in a three-variable model of an excitable cell. Physica D 16(2), 233–242 (1985)

    Article  Google Scholar 

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Acknowledgements

This work was supported by National Natural Science Foundation of China (61966022).

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Correspondence to Kaijun Wu .

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Wang, D., Wu, K. (2021). Synchronization of Coupled Chay Neuron System Under Noise. In: Abawajy, J., Choo, KK., Xu, Z., Atiquzzaman, M. (eds) 2020 International Conference on Applications and Techniques in Cyber Intelligence. ATCI 2020. Advances in Intelligent Systems and Computing, vol 1244. Springer, Cham. https://doi.org/10.1007/978-3-030-53980-1_52

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