Read the equation
This relation defines - Kuramoto phase dynamics: d(phi_i)/dt in the source section “MATHEMATICAL CONSTANTS · - Kuramoto phase dynamics: d(phi_i)/dt”. Evaluates oscillatory sine or cosine terms using the stated phase or frequency. Its interpretation depends on the source’s stated variables and conditions; this record does not assign an unprovided physical or cognitive meaning to them.
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 - Kuramoto phase dynamics: d(phi_i)/dt as the quantity being defined or updated by this relation.
Evaluates oscillatory sine or cosine terms using the stated phase or frequency.
Use this version’s variable definitions and update order. The same symbol may be assigned a different meaning in another build.
Assumptions & limits
This source expression was recovered from the pinned code revision. Its presence does not establish that the associated program was built, run, or scientifically validated.
Original context
Read the surrounding source passage
//============================================================================= /** * KuramotoOscillators - Coupled oscillator network * * Implements: * - Kuramoto order parameter: Z = (1/N)|sum_k exp(i*phi_k)| * - Kuramoto phase dynamics: d(phi_i)/dt = omega_i + (K/N)*sum_j sin(phi_j - phi_i) * - Wilson-Cowan: du/dt = -u + integral(W(x,y)*f(u)dy) + I * - Phase-locking value: PLV = |<exp(i*(phi_1 - phi_2))>| * * Brain frequency bands: * - Delta: 1-4 Hz * - Theta: 4-8 Hz * - Alpha: 8-13 Hz * - Beta: 13-30 Hz * - Gamma: 30-100 Hz */
Exact original notation
- Kuramoto phase dynamics: d(phi_i)/dt = omega_i + (K/N)*sum_j sin(phi_j - phi_i)