Read the equation
Combines a decay term −λS_i with a weighted sum of other agents’ tanh-transformed signals. Coherence weighting changes the effective coupling. Stability depends on the decay rate, graph weights and derivative bounds.
Terms & definitions
The recovered passage does not supply a separate symbol table. Read the source context for the notation used in this version; familiar letters may carry different meanings in other builds.
How it works
Read dS_i/dt as the quantity being defined or updated by this relation.
Substitute the source-defined variables or recorded values and follow the displayed arithmetic and indexing exactly.
Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.
Assumptions & limits
Source recovery establishes that the expression appears in this record. Its mathematical validity, implementation behavior, and interpretation must be assessed separately. See the linked source and research notes for the checks available for this version.
Original context
Read the surrounding source passage
CROSS-TALK DYNAMICS dS_i/dt = -λ·S_i + Σ w_ij·Φ(C_ij)·tanh(S_j) ATHENA │ │ HESTIA │ │ RHIANNON │ │ EUTERPE │ │ DEREKH Strategy │ │ Ethics │ │ Robotics │ │Mathematics │ │ Navigation Planning │ │ Values │ │ Action │ │ Patterns │ │ Geography
Exact original notation
dS_i/dt = -λ·S_i + Σ w_ij·Φ(C_ij)·tanh(S_j)
Related builds
Sources & provenance
dS_i/dt = -λ·S_i + Σ w_ij·Φ(C_ij)·tanh(S_j)