Chaos Lab

Continuous flow · dim

Kuramoto coupled oscillators

N globally coupled phase oscillators with frequencies ω_i drawn from some distribution. Above a critical coupling K_c the population synchronises. Exhibits chimera states under specific topologies.

N = 64 Kuramoto oscillators at K = 1.6 near synchronisation threshold; orange arrow = mean-field order parameter.

Equations

dθ_i/dt = ω_i + (K/N) Σ_j sin(θ_j − θ_i)

At a glance

ParametersK, ω_i, N
Chaotic forvaries; chimeras in non-locally coupled rings
HistoryKuramoto (1975); chimera states by Kuramoto and Battogtokh (2002).

See also

Test your knowledge

8-question flashcard quiz on kuramoto coupled oscillators

Start quiz →

AI Summary

Summarize this page in your favorite LLM