PyPlane is a free software for phase plane analysis of second order dynamical systems written in PYTHON and QT4 (compare MATLAB's pplane).

Features:

• Vector fields and streamlines for second order nonlinear dynamical systems of the form x'=f(x,y), y'=g(x,y)
• Forward and backward solution trajectories for arbitrary initial conditions in the phase plane
• Time dependent solutions x(t) and y(t)
• 3D visualization t(x,y)
• Nullclines
• Find equilibrium points and calculate the corresponding Jacobian
• Linearize a system around equilibrium points, characterize and plot eigenvectors
• Add arbitrary function into the phase plane area (i.e. contour lines of Ljapunov-functions)

Originally, it has been developed by Klemens Fritzsche in 2013 and 2014 at the Institute of Control Theory [1], Technische Universität Dresden. Supervisors: Carsten Knoll, Jan Winkler. Since 2015 it has been maintained and developed by Klemens Fritzsche and Jan Winkler at the Institute of Control Theory [1].

It is published under the GNU GENERAL PUBLIC LICENSE Version 3.

[1] http://www.et.tu-dresden.de/rst/

PyPlane runs either natively in a fully functional Python environment under Linux/Windows/OSX or as a stand-alone executable under MS Windows.

PyPlane runs under Python version 2.7 with the following packages installed:

• NumPy (tested under version 1.9)
• SciPy (tested under version 0.15)
• Matplotlib (tested under verison 1.4.3)
• SymPy (tested under verison 0.7.6)
• PyQt4 (tested under version 4.11.3)

An optionally installed and accessible LaTeX/dvipng environment produces much prettier results in the linearization tabs. If no LaTeX is installed the program is still fully functional.

Call "python main.py" in the base directory of PyPlane in order to launch the application.

The stand-alone version is only available for MS Windows operating systems on which no Python is installed. You just need to run the provided installer file PyPlane_Setup.exe. It will create a directory on your desktop in which all required files will be stored. A shortcut for launching PyPlane will be placed on the desktop. No modifications in the system registry will be done. As in the native Python version a functional LaTeX installation will produce better formatting results in the linearization tabs. But even without LaTeX the program is fully functional.

Double-click on the PyPlane icon on the desktop in order to launch the application. Start-up may take some time.

• PyPlane will not launch if it detects a fully functional LaTeX-environment in which the package type1cm.sty is missing. Please place this style package in your LaTeX-installation.

Run python main.py in order to launch the application

Run this script in order to convert ui-files created by QT4 Designer to py-files and to generate the resource file icons_rc.py

Run this Python script on windows machines in order to build a stand-alone executable for MS Windows (which does not require a separate Python installation)

Run this script from Nullsoft installer to build an installation package for the stand-alone executable created by buid_exe.py