Do I need to install anything?

No. It runs in any modern browser, free, with no account required.

For K-12 Students · Bode Plot

Bode Plot for a swarm of drones

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 swarm of drones live below — adjust the inputs and watch it respond, right in your browser.

Bode PlotLive

magnitude & phase vs frequency

Controls

Presets

Gain K

Pole 1 (rad/s)

Pole 2 (rad/s)

A Bode plot shows how a system responds across frequencies: magnitude in decibels above, phase below. The gain and phase margins — how far the curves sit from instability at the crossover — predict whether closing the loop stays stable. Educational tool.

▶ Run in Python

Data Inspector

Gain crossover0.01 rad/s

Phase margin179°

Stabilitystable ✓

Governing equation

H (j ω) = \frac{1}{( 1 + j \frac{ω}{1} ) ( 1 + j \frac{ω}{10} )} \Rightarrow ∣ H ∣ = - 0.0 dB, ∠ H = - 1^{\circ}

Reading this result: A healthy 179° phase margin means the loop closes with plenty of stability and little overshoot.

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Frequently asked questions

Is this good for k-12 students?: Yes — this version of "Bode Plot for a swarm of drones" 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.