PRC: Δφ=A·sin(φ); ∫₀^{2π}Δφdφ=0; Δφ(π/2)=A; tongue width 2εA; φ_lock=arcsin((Ω−ω)/(εA))

Layer 3 — Biologyin the chronobiology subtree

Sympy-exact symbolic witness of the Winfree sinusoidal PRC canonical form, zero-mean integral identity, maximum phase shift, 1:1 Arnold tongue width, and locked-phase identity. Setup: A_amp, phi, Omega, omega, eps — all positive symbols. …

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Explore PRC: Δφ=A·sin(φ); ∫₀^{2π}Δφdφ=0; Δφ(π/2)=A; tongue width 2εA; φ_lock=arcsin((Ω−ω)/(εA)) on the interactive knowledge graph →