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For K-12 Students · Dynamical Systems

Dynamical Systems for a predator-prey cycle

Built for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework. Simulate a predator-prey cycle live below — adjust the inputs and watch it respond, right in your browser.

Dynamics — Lorenz AttractorLive

RK4 integrator

Controls

A three-variable system of ODEs whose solutions form the iconic butterfly-shaped strange attractor — a textbook example of deterministic chaos.

σ (Prandtl)

ρ (Rayleigh)

Data Inspector

Steps8001

IntegratorRK4

final x1.321

final y1.415

final z17.664

Governing equation

\overset{x}{˙} = 10 (y - x), \overset{y}{˙} = x (28 - z) - y, \overset{z}{˙} = x y - 2.67 z

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Frequently asked questions

Is this good for k-12 students?: Yes — this version of "Dynamical Systems for a predator-prey cycle" is framed for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.