Chaos Simulations

Explore nonlinear dynamics through interactive visuals and animations.

This collection is inspired by Steven Strogatz's classic text Nonlinear Dynamics and Chaos — a tour through fixed points, bifurcations, limit cycles, and strange attractors. We’ll build and extend a set of approachable simulations that reveal how simple rules can generate wonderfully complex behaviors.

Simulations

Start with the existing Runge–Kutta animation, then explore more systems we’ll be proving out next.

Runge–Kutta Solution Animation Logistic Map: Cobweb & Bifurcation Lorenz Attractor: Strange Attractor Double Pendulum: Chaotic Motion Hopf: Brusselator Circle Map: Arnold Tongues Hénon Map: Strange Attractor Kuramoto: Synchronization Rössler: Strange Attractor