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Rhythmic patterns in the neuronal motifs induced by nonequal time-delays and correlated noises

Author

Listed:
  • X. Zhang

    (Physics Department of Basic Department, The Army Engineering University of PLA, Nanjing 211101, P. R. China)

  • J. Yang

    (Physics Department of Basic Department, The Army Engineering University of PLA, Nanjing 211101, P. R. China)

  • W. Y. Wu

    (Physics Department of Basic Department, The Army Engineering University of PLA, Nanjing 211101, P. R. China)

  • F. P. Wu

    (Physics Department of Basic Department, The Army Engineering University of PLA, Nanjing 211101, P. R. China)

  • W. J. Wu

    (Physics Department of Basic Department, The Army Engineering University of PLA, Nanjing 211101, P. R. China)

  • R. D. Miao

    (Physics Department of Basic Department, The Army Engineering University of PLA, Nanjing 211101, P. R. China)

  • H. J. Wang

    (#x2020;Department of Physics, Nanjing Xiaozhuang College, Nanjing 210017, P. R. China)

  • G. X. Qi

    (#x2021;Research Center Jülich, Institute for Neuronscience and Medicine INM-2, D-52425 Jülich, Germany)

  • H. B. Huang

    (#xA7;Department of Physics, Southeast University, Nanjing 210096, P. R. China)

Abstract

Rhythmic patterns in the neuronal motifs are studied. For nonequal time-delays without noises, two situations are considered, where the conditions for synchronization, winnerless competition (WLC) and “two plus one” (TPO) are studied. In the first situation, if the coupling strengths are the same, then the time-delays are set the same. WLC and synchronization are easy to occur in this situation, while TPO is hard to occur. In the second situation, if the distances between two neurons are the same, then the time-delays are set the same. The complementary phenomenon is found and discussed in detail for TPO to occur in this situation. Next, when common noise with equal time-delay τ is added to the motifs, noise induced synchronization is compared for τ=0 and τ=2.7, where the motifs both exhibit WLC. When correlated noises with equal time-delay τ are added to the motifs, it is found that WLC is easier to be destroyed for τ=2.7 than for τ=0.

Suggested Citation

  • X. Zhang & J. Yang & W. Y. Wu & F. P. Wu & W. J. Wu & R. D. Miao & H. J. Wang & G. X. Qi & H. B. Huang, 2018. "Rhythmic patterns in the neuronal motifs induced by nonequal time-delays and correlated noises," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 29(07), pages 1-10, July.
    • Handle: RePEc:wsi:ijmpcx:v:29:y:2018:i:07:n:s0129183118500523
    DOI: 10.1142/S0129183118500523
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