Read the equation
The change combines gated drive with a small restoring term toward x=0.5. A step of size 0.01 is then applied and projected onto [0,1]. This guarantees a bounded activation after each finite update, but clipping alters the unconstrained dynamics and does not bound the other state variables.
Terms & definitions
| Term | Meaning in this source |
|---|---|
| dx | Proposed rate of activation change |
| g | Gate |
| drive | Combined forcing |
| x | Activation |
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Original context
Read the surrounding source passage
## 8.6 Activation Update ``` dx = g · drive - 0.04 · (x - 0.5) x ← clamp₀₁(x + 0.01 · dx) ``` **Explanation**: Activation changes based on gated drive with a centering force toward 0.5. The 0.01 coefficient ensures smooth transitions. ## 8.7 Potential Update ``` P ← clamp₀₁((1 - 0.05) · P + F_in · y - 0.01 · P²) ``` **Explanation**: Potential accumulates from input-velocity interaction with exponential decay (0.95) and quadratic damping. ## 8.8 Coupling Update ``` c ← c + 0.01 · ((c + 1) · 0.8 · P - k_c · (c - 1)) ``` **Explanation**: Coupling evolves based on potential, creating adaptive inter-agent connections.
Exact original notation
dx = g · drive - 0.04 · (x - 0.5) x ← clamp₀₁(x + 0.01 · dx)