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Advances in Cognitive Neurodynamics (II) pp 271–275Cite as

Synchronization Transitions of Small-World Neuronal Networks

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Abstract

We examine synchronization transitions and patter formation in dependence on the information transmission delay on small-world networks of Morris-Lecar excitable neurons. For the gap junctional coupling, we show that short delays can induce zigzag fronts of excitations, whereas long delays can further detriment synchrony in the network due to a dynamic clustering anti-phase synchronization transition. On the other hand, within the large delay region, which is characterized by anti-phase synchronization and clustering, differences in the network topology do not notably affect the synchrony of neuronal activity.

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References

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Acknowledgments

This work was supported by the National Science Foundation of China (Fund Nos. 10702023,10972001 and 10832006).

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Authors and Affiliations

  1. Inner Mongolia Finance and Economics College, Network Information Center, Huhhot, 010071, China

    Wen-Ji Cao

  2. Department of Dynamics and Control, Beihang University, Beijing, 100191, China

    Qing-Yun Wang

Authors
  1. Wen-Ji Cao
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  2. Qing-Yun Wang
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Editors and Affiliations

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

    Rubin Wang

  2. Fudan University, Shanghai, China, People's Republic

    Fanji Gu

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© 2011 Springer Science+Business Media B.V.

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Cao, WJ., Wang, QY. (2011). Synchronization Transitions of Small-World Neuronal Networks. In: Wang, R., Gu, F. (eds) Advances in Cognitive Neurodynamics (II). Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9695-1_42

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