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StefanescuJirsa3D

Description

Reduced set of Hindmarsh-Rose oscillators (Stefanescu & Jirsa 2008). A low-dimensional description of globally coupled heterogeneous excitatory and inhibitory Hindmarsh-Rose populations. The reduction projects an infinite population onto `number_of_modes` modes and yields per-mode scalar state variables (xi, eta, tau) for the excitatory and (alpha, beta, gamma) for the inhibitory subnetwork. The mode-coupling matrices A_ik, B_ik, C_ik and the per-mode coefficients a_i, b_i, c_i, d_i, e_i, f_i, h_i, p_i, IE_i, II_i, m_i, n_i are derived offline by Gaussian quadrature over the heterogeneity distribution N(mu, sigma^2); see TVB reference implementation `tvb.simulator.models.stefanescu_jirsa.ReducedSetHindmarshRose`.

Parameters
NameValueUnit
r 0.006
a 1.0
b 3.0
c 1.0
d 5.0
s 4.0
x_0 -1.6
K_11 0.5
K_12 0.1
K_21 0.15
sigma 0.3
mu 3.3
State variables
NameInitial value
xi 0.1
eta 0.1
tau 0.1
alpha 0.1
beta 0.1
gamma 0.1