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For Engineers · Dynamical Systems

Dynamical Systems for a bioreactor

Built for engineers using it for real design work. Go from concept to a running model in the browser, then scale to the cloud when needed. Simulate a bioreactor 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 engineers?: Yes — this version of "Dynamical Systems for a bioreactor" is framed for engineers using it for real design work. Go from concept to a running model in the browser, then scale to the cloud when needed.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.