Stability, Bifurcation, and Multistability in a System of Two Coupled Neurons with Multiple Time Delays

@article{Shayer2000StabilityBA,
  title={Stability, Bifurcation, and Multistability in a System of Two Coupled Neurons with Multiple Time Delays},
  author={Leslie P. Shayer and Sue Ann Campbell},
  journal={SIAM Journal of Applied Mathematics},
  year={2000},
  volume={61},
  pages={673-700}
}
A system of delay differential equations representing a model for a pair of neurons with time-delayed connections between the neurons and time delayed feedback from each neuron to itself is studied. Conditions for the linear stability of the trivial solution of this system are represented in a parameter space consisting of the sum of the time delays between the elements and the product of the strengths of the connections between the elements. It is shown that the trivial fixed point may lose… CONTINUE READING

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