Dynamical Systems: Van der Pol Oscillator

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Dynamical Systems: Van der Pol Oscillator

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Last edited Oct 15, 2025

Created on Oct 15, 2025

Forked from Dynamical Systems: circule trajectories

This visualization shows the convergence of solutions of the Van der Pol system towards its limit cycle, with the system defined by \(\dot{x} = y + x - x^3/3\) and \(\dot{y} = -x\). A red curve traces the limit cycle, while the initial orbit point is marked with a cursor. The example uses D3.js (v7.9.0) to render SVG elements, including path lines for trajectories and circles for points, and includes MathJax for displaying the governing equations. The orbit data is precomputed and embedded directly in the script.

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