Phase Plane Analysis of One and Two Dimensional Autonomous ODE
Systems
Description
Performs a qualitative analysis
of one and two dimensional autonomous ODE systems, using phase
plane methods. Programs are available to identify and classify
equilibrium points, plot the direction field, and plot trajectories
for multiple initial conditions. In the one dimensional case, a
program is also available to plot the phase portrait. Whilst in the
two dimensional case, programs are additionally available to plot
nullclines and stable/unstable manifolds of saddle points. Many
example systems are provided for the user.