PPLANE8
Phase Plane of an Ordinary Differential Equation


PPLANE8 is a MATLAB program which interactively displays the phase plane for a differential equation, by John Polking.

PPLANE8 is an interactive tool for studying planar autonomous systems of differential equations. When the program is executed, a Setup window is opened. The user may enter the differential equation and specify a display window using the interactive controls in the Setup window. Up to 4 parameters may also be specified. In addition the user is give a choice of the type of field displayed and the number of field points.

When the Proceed button is pressed on the Setup window, the Display window is opened, and a field of the type requested is displayed for the system. When the mouse button is depressed in the Display window, the solution to the system with that initial condition is calculated and plotted.

Licensing:

PPLANE8 is copyright (c) by John C. Polking, Rice University.

Languages:

PPLANE8 is available in a MATLAB version.

Related Data and Programs:

DFIELD8, a MATLAB program which interactively displays the direction field of a differential equation, by John Polking.

NMS, a FORTRAN90 library which includes the sophisticated SDRV package for solving systems of ordinary differential equations.

ODE, a FORTRAN90 library which solves a system of ODE's using Adams-Bashforth-Moulton Predictor-Correctors.

RKF45, a MATLAB library which solves a system of ODE's using a Runge-Kutta-Fehlberg method.

TEST_ODE, a MATLAB library which define a set of tests for ordinary differential equation solvers.

Author:

John Polking.

Reference:

  1. David Arnold, John Polking,
    Ordinary Differential Equations using Matlab,
    Second Edition,
    Prentice Hall, 1999,
    ISBN: 0130113816,
    LC: QA371.D37.P65.
  2. John Polking's Home Page:
    http://www.math.rice.edu/~polking/

Source Code:

You can go up one level to the MATLAB source codes.


Last revised on 12 July 2011.