Loopa

Dive into the fascinating world of non-linear dynamics and chaos theory. This simulator provides an interactive environment to explore mathematical models and observe how small changes in parameters lead to vastly different outcomes.

90+ continuous systems: Lorenz, Rössler, Chen, Aizawa, Lü, the full Sprott family, hyperchaotic 4D attractors, Duffing, Van der Pol, FitzHugh-Nagumo, Hindmarsh-Rose, Lotka-Volterra, Chua circuit, double pendulum, and more

35+ discrete maps: Logistic, Hénon, Tent, Standard, Gauss, Sine, Circle, Lozi, Ikeda, Tinkerbell, Baker, Bogdanov, Kaplan-Yorke, Zaslavskii, Arnold cat map, and more with cobweb diagram visualization

Phase space visualization in 2D and 3D with nullclines, flow field, and speed coloring

Analysis suite: bifurcation diagram, Lyapunov exponent, recurrence plot, basin of attraction, power spectrum, sensitivity to initial conditions, manifolds, orbit diagram

Multiple simulation slots for parallel exploration and side by side comparison

Custom system editor for user-defined equations

Script editor for user-defined scripts that can be applied to the simulation

Export to SVG, PDF, PNG, and CSV