Stimulus-Dependent Suppression of Chaos in Recurrent Neural Networks

Details Stimulus-Dependent Suppression of Chaos in Recurrent Neural Networks Stimulus-Dependent Suppression of Chaos in Recurrent Neural Networks

2009-12-17

arxiv.org/abs/0912.3513v2

Physical Review E 82, 011903 (2010)

Biology

Quantitative Biology

Neurons and Cognition

12 pages, 3 figures

Scientific paper

10.1103/PhysRevE.82.011903

Neuronal activity arises from an interaction between ongoing firing generated spontaneously by neural circuits and responses driven by external stimuli. Using mean-field analysis, we ask how a neural network that intrinsically generates chaotic patterns of activity can remain sensitive to extrinsic input. We find that inputs not only drive network responses, they also actively suppress ongoing activity, ultimately leading to a phase transition in which chaos is completely eliminated. The critical input intensity at the phase transition is a non-monotonic function of stimulus frequency, revealing a "resonant" frequency at which the input is most effective at suppressing chaos even though the power spectrum of the spontaneous activity peaks at zero and falls exponentially. A prediction of our analysis is that the variance of neural responses should be most strongly suppressed at frequencies matching the range over which many sensory systems operate.

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