Analytical condition for synchrony in a neural network with two periodic inputs.

  title={Analytical condition for synchrony in a neural network with two periodic inputs.},
  author={Yoichiro Hashizume and Osamu Araki},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={87 1},
  • Y. Hashizume, O. Araki
  • Published 13 December 2012
  • Biology
  • Physical review. E, Statistical, nonlinear, and soft matter physics
In this study, we apply a mean-field theory to the neural network model with two periodic inputs in order to clarify the conditions of synchronies. This mean-field theory yields a self-consistent condition for the synchrony and enables us to study the effects of synaptic connections for the behavior of neural networks. Then, we obtain a condition of synaptic connections for the synchrony with the cycle time T. The neurons in neural networks receive sensory inputs and top-down inputs from… 

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