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r = 0K/Kc = 0
Presets
Click a firefly (or its glow) to flash it or a group around it and watch the swarm recover. Drag to orbit, wheel or pinch to zoom.
Swarm
Coupling
View and interaction
Live readouts
| Simulated time | - |
| Order parameter r (now) | - |
| Order parameter r (smoothed) | - |
| Mean-field prediction r | - |
| Critical coupling K_c | - |
| Coupling K | - |
| g(0) | - |
| Finite-size floor | - |
| Locked fireflies | - |
| Mean flash period (measured) | - |
Graphs
Order parameter r(t) over the last 60 s of simulated time.
Phase circle: each dot is a firefly (gold = locked to the mean rhythm, blue = drifting); the red arrow is the mean field r eiψ.
Effective frequency (relative to the swarm mean) against natural frequency: locked fireflies sit on a plateau at zero.
Order parameter against K/Kc: mean-field theory, your last sweep and the current state.
Experiments
A. Sweep K and compare r with the theory curve, extrapolating the measured Kc. B. Does Kc grow linearly with the spread of natural frequencies? C. Pulse-coupled: how fast does ε synchronise? The self-check compares the simulation with exact results.