Kuramoto — dθᵢ/dt = ωᵢ + (K/N)Σsin(θⱼ - θᵢ)

Tap to zoom

Kuramoto

dθᵢ/dt = ωᵢ + (K/N)Σsin(θⱼ - θᵢ)

The Kuramoto model with dozens of oscillators — each trying to synchronize, none fully succeeding.

Dozens of rhythms trying and failing to align

Part of: OVERWHELM

Digital Download

High-resolution PDF, 300 DPI, print-ready

Or get the complete OVERWHELM series for $82 →

More from OVERWHELM

Attractors — dx/dt = σ(y-x), dy/dt = x(ρ-z)-y

Attractors

dx/dt = σ(y-x), dy/dt = x(ρ-z)-y

$Levy Swarm — P(x) ~ |x|^{-1-α}, 0 < α < 2$

Levy Swarm

P(x) ~ |x|^{-1-α}, 0 < α < 2

$Phase Flood — ψ(x,t) = Σ Aₙ e^{i(kₙx - ωₙt + φₙ)}$

Phase Flood

ψ(x,t) = Σ Aₙ e^{i(kₙx - ωₙt + φₙ)}

Turbulence — Re = ρvL/μ >> Re_cr

Turbulence

Re = ρvL/μ >> Re_cr