3D Phase Space Plotter

An Interactive Applet powered by Sage and MathJax.

(By Thomas Scofield)

\textrm{Given a (3d) spatial 1st order system initial value problem } \newline \textrm{} \qquad\begin{array}{l} x' = f(t,x,y,z) \\ y' = g(t,x,y,z) \\ z' = h(t,x,y,z) \end{array}, \qquad (x_0, y_0, z_0) = (x(t_0), y(t_0), z(t_0)), \newline \textrm{(} t \textrm{ is independent, } x, y, z \textrm{ are dependent), this app plots the corresponding} \newline \textrm{solution curves } (x(t), y(t), z(t)) \textrm{ parametrically in phase space. For} \newline \textrm{autonomous systems, an attempt is made to plot equilibria (red points).}

Last modified on July 29th, 2017.