1D Maps— Gateway to Chaos
One-dimensional maps that reveal the fundamental mechanisms of chaos
2D Maps— Strange Attractors
Two-dimensional maps that produce intricate phase-space structures
Hénon Map
A classic 2D discrete dynamical system with a strange attractor
Standard Map
Conservative system showing transition to chaos in Hamiltonian systems
Ikeda Map
Nonlinear optics model with stunning spiral attractors from laser cavity dynamics
Arnold Cat Map
Area-preserving transformation with periodic orbits and Fibonacci connections
Baker’s Map
Stretching and folding dynamics demonstrating exact mixing and symbolic dynamics
Tinkerbell Map
Complex polynomial dynamics with multi-loop attractors and bistable behavior
Duffing Map
Double-well oscillator demonstrating bistable dynamics and physical chaos
Complex Quadratic
Julia sets and Mandelbrot set exploring complex dynamics and fractals
Coupled Map Lattices— Spatiotemporal Dynamics
Spatially extended systems where many maps interact to produce collective behavior
Analysis Tools— Compare & Quantify
Side-by-side tools for comparing chaotic systems and measuring their properties