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PPLANE

By Drew LaMar

College of William and Mary

PPLANE is a tool for Phase Plane Analysis of a System of Differential Equations of the form: x' = dx/dt = f(x,y), y' = dy/dt = g(x,y).

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Version 2005.10 - published on 06 Apr 2015

This tool is closed source.

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Abstract

PPLANE is a tool for Phase Plane Analysis of a System of Differential Equations of the form: 

    

    

At each point, (x,y), of a grid, PPLANE draws an arrow indicating the direction and magnitude of the vector (x',y').  This vector equals dy/dt / dx/dt = dy/dx, and is independent of t; therefore, it must be tangent to any solution curve through (x,y).  Users can select from a verity of numerical solvers, and control the parameters of those solvers.  Solutions can be viewed in three dimensions.  PPLANE also graphs the linearization about equilibrium points, displays eigenvalues, eigenvectors, nullclines, and stable & unstable orbits.

This software is designed as a companion for Ordinary Differential Equations using MATLAB by David Arnold & John C. Polking.  Second edition published by Prentice Hall, 1999. ISBN: 0-13-011381-6.

Cite this work

Researchers should cite this work as follows:

  • PPLANE 2005.10 Copyright 1994 - 2005, John C. Polking, Rice University

    Author: John Polking - Professor, Dept of Mathematics, Rice University.

    Supporting Programmer: Joel Castellanos, Rice University.

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