Loopa: Nonlinear Dynamics

Loopa is an advanced simulator for nonlinear dynamical systems, chaos theory, and mathematical modeling.

Explore the fascinating world of nonlinear dynamics through interactive simulations and mathematical models. Observe how small changes in parameters can lead to dramatically different behaviors and gain deeper insight into complex systems.

- 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
- 2D and 3D phase space visualization with nullclines, flow fields, and speed-based coloring
- Comprehensive analysis tools: bifurcation diagrams, Lyapunov exponents, recurrence plots, basins of attraction, power spectra, sensitivity to initial conditions, manifolds, and orbit diagrams
- 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 results to SVG, PDF, PNG, and CSV