OBSERVATION CONTRACT
Collective dynamics, not evaluation
This field contains autonomous model oscillators only. The displayed order describes their simulated phases. It does not score a visitor, measure ability, or represent a clock network.
OBSERVATION CHAMBER / ACTIVE
Collective Synchronization Transition Field
Adjust coupling and intrinsic-frequency spread, then watch 64 autonomous oscillators move from disorder through partial synchrony toward collective order.
time / synchronization
Observation Model
COLLECTIVE DYNAMICS
Many oscillators, one changing order
Start the field, then move coupling across the transition band.
Each point is an autonomous oscillator. The arrow is the mean phase vector. The right-hand traces are model readings, not measurements of a person or a real network.
The field is ready. Choose a preset or start the model.
- r / order parameter
- --
- Phase spread
- --°
- Phase clusters
- --
- Phase-locked share
- --%
- Estimated Kc
- --
- Model time
- 00:00
WHAT TO WATCH
Order grows through a transition band
- Start with ASYNC, then raise K and watch r rise from a low baseline.
- Near THRESHOLD, some oscillators gather while others continue to drift.
- Choose CLUSTERS to reveal two phase groups from a bimodal frequency distribution.
MODEL NOTE
Kuramoto-type mean-field coupling
dθᵢ/dt = ωᵢ + K r sin(ψ − θᵢ)
r exp(iψ) = (1/N) Σᵢ exp(iθᵢ). For a Gaussian distribution, the ideal infinite-population estimate is Kc ≈ 1.60σ. Finite N produces a transition band, not a sharp step.
OBSERVATION POLICY
This field runs a browser-local Kuramoto-type model with 64 autonomous oscillators. Phases, frequency settings, calculations, and images are not uploaded. It does not measure people, ability, health, or rankings.
Route
This chamber belongs to Signals & Networks.
SIGNAL Back to Signals & Networks Route.