Home▸Chaos & Dynamics▸Kapitza Pendulum: Balancing a Rod Upside Down by Shaking the Pivot — 2D Stability Map and Effective Potential

🎯 Kapitza Pendulum: Balancing a Rod Upside Down by Shaking the Pivot — 2D Stability Map and Effective Potential

2D companion of the Kapitza pendulum lab: slow-motion rod on a vibrating pivot, effective potential, stability map with Kapitza, Mathieu and Floquet thresholds, phase portrait and time series, using the same equations as the 3D shaker.

Chaos & Dynamics2DAdvanced60 FPS📱 Mobile-adapted⇄ 3D version

⚙ Under the hood

Kapitza PendulumChaosMathieu EquationEffective PotentialThree.js

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install