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. 2013 Apr 18;7:29. doi: 10.3389/fncom.2013.00029

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Copyright © 2013 Srinivasan, Thorpe and Nunez.

This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in other forums, provided the original authors and source are credited and subject to any copyright notices concerning any third-party graphics etc.

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Limit cycle regime of the model. In all of the simulations, the following parameters are fixed: (1) The ratio of time constants A = τ_I/τ_E = 1, (2) the background state E₀(t) = I₀(t) = 0.25, (3) the connection weights are (w_EI, w_IE, w_II) = (50,15,0) and (4) the input P(t) = 0.1 is a step function at time 0. Limit cycle oscillation observed with self-excitation w_EE = 20. The time series of the excitatory and inhibitory subpopulations are shown in (A). In these plots time is normalized by excitatory membrane time constant τ_E. Phase-plane plots for the excitatory subpopulation are shown in (B). Amplitude spectra obtained by the FFT are shown in (C). Normalized frequency is fτ_E. If τ_E = 20 ms, a normalized frequency of 1 corresponds to 50 Hz.