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For Researchers · State-Space Phase Portrait

State-Space Phase Portrait for a walking robot

Built for researchers prototyping or validating an idea. Prototype fast, reproduce exactly, and share a citable, interactive version of your model. Simulate a walking robot live below — adjust the inputs and watch it respond, right in your browser.

State-Space Phase PortraitLive

Controls

Presets

A linear state-space system ẋ = Ax has a character set by the eigenvalues of A. Negative real parts spiral or decay to the origin (stable); positive parts fly outward; imaginary parts add rotation. The phase portrait reveals it all at a glance. Educational tool.

▶ Run in Python

Data Inspector

Trace / Det-0.30 / 1.00
Eigenvalues-0.15 ± 0.99j
Classificationstable spiral

Governing equation

Reading this result: Complex eigenvalues with negative real part: trajectories spiral inward, oscillating while decaying to the origin — a stable, ringing system.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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Frequently asked questions

Is this good for researchers?
Yes — this version of "State-Space Phase Portrait for a walking robot" is framed for researchers prototyping or validating an idea. Prototype fast, reproduce exactly, and share a citable, interactive version of your model.
Do I need to install anything?
No. It runs in any modern browser, free, with no account required.