Chaos Lab

Tool

Recurrence plot

Recurrence plots reveal the dynamical fingerprint of a time series. Diagonal lines mean determinism; texture density measures chaos; flat clouds suggest noise.

Recurrence plot

R[i,j] = 1  iff  ‖x_i − x_j‖ < ε  (embedded coordinates, m = 3, τ = 4)

texture readings:
  diagonal lines          deterministic, recurrent structure
  isolated short lines    chaotic regime
  vertical clusters       laminar / intermittent phases
  uniform noise           stochastic process

Try toggling between Logistic-r=4 (chaotic), sin t (periodic), white noise (random), and Lorenz x(t) — the textures differ dramatically.

FAQ

Frequently asked questions