CHAOS_THEORY VISUALIZATIONS
Explore the beautiful complexity of mathematical chaos through interactive, real-time simulations.
Lorenz Attractor
A 3D chaotic system exhibiting butterfly effect
Hénon Map
A 2D discrete-time dynamical system with strange attractor
Lozi Map
Piecewise-linear counterpart to the Hénon map
Ikeda Map
A 2D nonlinear optical feedback map with spiral chaotic attractors
Clifford Attractor
A generative chaotic attractor formed from sine and cosine iteration
Tinkerbell Map
A 2D chaotic map producing delicate, dense strange-attractor structures
Gumowski–Mira Map
A nonlinear map with rich transitions between order, islands, and chaos
Logistic Map
Population growth model showing chaotic behavior
Bifurcation (Logistic)
Bifurcation diagram of the logistic map
Bifurcation (Hénon)
Bifurcation diagram of the Hénon map
Newton Fractal
Fractal generated from Newton's method
Standard Map
Area-preserving chaotic map from dynamical systems
Chaos Esthetique
Aesthetic chaos pattern with custom formula
Rössler Attractor
A 3D chaotic system with continuous scroll structure
Lyapunov Exponents
Quantifying chaos through trajectory divergence rates
Chua Circuit
A nonlinear circuit model whose state spirals between two lobes, producing the classic double-scroll attractor
Double Pendulum
A physical chaotic system where tiny angle changes produce wildly different motion
Baker's Map
A stretch-cut-stack map that demonstrates chaotic mixing in phase space
Arnold Cat Map
An area-preserving map that scrambles images through stretch-and-fold dynamics
Gingerbreadman Map
A simple chaotic map whose orbit forms a distinctive fractal-like figure