Chaos Lab
Sensitive to your initial conditions.
An interactive reference for chaos theory and nonlinear dynamics: discrete maps, continuous flows, strange attractors, bifurcations, Lyapunov exponents, control, and where chaos shows up in the real world.
What is here
Every system gets a definition, equations, parameter sliders, live render, phase portrait, dimension/Lyapunov, and references.
Discrete maps
Logistic, tent, sine, Bernoulli, Gauss, PWLCM, Hénon, Arnold cat, Ikeda, Tinkerbell, baker's, Lozi, standard map…
Continuous flows
Lorenz, Rössler, Chen, Lü, Chua, Duffing, Van der Pol, double pendulum, Mackey-Glass, Hindmarsh-Rose…
Strange attractors
50+ named 3D attractors, browsable side-by-side, each renderable live: Aizawa, Thomas, Halvorsen, Sprott A-S…
Bifurcations & routes to chaos
Period-doubling, Hopf, saddle-node, pitchfork, intermittency types I/II/III, Feigenbaum constants.
Measures & invariants
Lyapunov exponents, Kaplan-Yorke dimension, correlation dimension, entropies, 0-1 test, recurrence.
Control & synchronisation
OGY, Pyragas, Pecora-Carroll, generalised sync, master stability function, chaos communication.
Hands-on
Pick a playground. Everything runs locally in your browser, no server-side compute.
Logistic map playground
Iterate r·x·(1−x) live. Cobweb plot, bifurcation diagram, period-doubling cascade with Feigenbaum δ overlay.
Lorenz attractor
The butterfly in 3D. Drag to rotate, slide σ/ρ/β, see how a microscopic perturbation snowballs.
Hénon explorer
Drag through (a, b) parameter space to scan the Hénon strange attractor family.
Bifurcation studio
Pick any 1D map. Scrub the control parameter and watch period doublings stack up to chaos.
Map composer
Build new 1D maps by composing logistic/tent/sine/Chebyshev/Gauss. Cobweb, bifurcation, Lyapunov side-by-side.
Coupled-map lattice
Configure a 1D ring or 2D grid of coupled chaotic units. Watch space-time pattern formation and synchrony transitions.