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)

Layer 3 — Biologyin the systems-neuroscience subtree

Sympy-exact symbolic witness of the Wilson-Cowan linearised Jacobian trace, determinant, and Hopf-bifurcation boundary in σ. Setup: sg (firing-rate-gain σ = S'(fixed point)), w_EE, w_EI, w_IE, w_II — all positive symbols. Linearised…

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Explore 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) on the interactive knowledge graph →