Wilson-Cowan 2-pop: τ·dE/dt=−E+S(w·inputs); Hopf bifurcation at σ_H=2/(w_EE−w_II)

Layer 3 — Biologyin the systems-neuroscience subtree

Wilson-Cowan 2-population neural-mass framework — the canonical coupled-ODE model of cortical excitatory-inhibitory (E-I) dynamics and the paradigmatic Hopf-bifurcation-to-oscillation example in computational neuroscience (Wilson & Cowan…

Related concepts

Hopf bifurcation
WC linearised: Tr(J)=σ(w_EE−w_II)−2; Det(J)=σ²(w_EI·w_IE−w_EE·w_II)+σ(w_II−w_EE)+1; σ_H=2/(w_EE−w_II)

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