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Synchronization of Chaotic Neuronal Networks with Small-world Topology

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Advances in Cognitive Neurodynamics ICCN 2007

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Abstract

Synchronization of coupled chaotic neuronal network with small-world topology is explored in this paper. The synchronization condition of chaotic HR neuronal network is obtained by using the master stability function as a general criterion for synchronization stability of neuronal networks. Numerical simulation is performed in a small-world network with hundreds of neurons. It is shown that master stability function is effective for determining synchronization condition of neuronal networks and chaotic small-world neuronal networks can synchronize by setting the coupling strength properly.

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References

  1. Fink K.S., Johnson G., Carroll T., Mar D., Pecora L. Three coupled oscillators as a universal probe of synchronization stability in coupled oscillator arrays. Phys. Rev. E 61 (2000) 5080–5090.

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Author information

Authors and Affiliations

  1. School of Science, Bei**g University of Aeronautics-Astronautics, Bei**g 100083, China

    Qi-Shao Lu & Yan-Hong Zheng

Authors
  1. Fang Han
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  2. Qi-Shao Lu
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  3. Yan-Hong Zheng
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Editor information

Editors and Affiliations

  1. The Institute for Cognitive Neurodynamics, East China University of Science and Technology, 130 Meilong Road, 200237 Shanghai, People’s Republic of China

    Rubin Wang , Enhua Shen  & Fanji Gu ,  & 

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© 2008 Springer-Verlag Berlin Heidelberg

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Han, F., Lu, QS., Zheng, YH. (2008). Synchronization of Chaotic Neuronal Networks with Small-world Topology. In: Wang, R., Shen, E., Gu, F. (eds) Advances in Cognitive Neurodynamics ICCN 2007. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8387-7_52

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