PyPlane is a free software for phase plane analysis of second order dynamical systems written for PYTHON 3.8 and PyQT5 (compare MATLAB's pplane). It is published under the GNU GENERAL PUBLIC LICENSE Version 3.
- 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)
- 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.
- Several example systems are shipped with PyPlane. You find them in the
directory
library. Load them via "Open - From File" or by pressing STRG+O
Please don't hesitate to report bugs, comments, or suggestions!
PyPlane runs either natively in a fully functional Python environment under Linux/ Windows/ OSX or as a stand-alone executable under MS Windows.
If you have pip available in your Python installation PyPlane can be easily
installed as follows:
- Clone the repository
- Change into the root directory of the repository
- Execute
pip install .
PyPlane can then be invoked from the command line by executing the command
pyplane or via python -m pyplane
Note: When some important missing features are implemented PyPlane will be also available via PyPi.
If the following pre-requisites are fullfilled you may invoke PyPlane directly from the repository:
Pre-requisites:
- Python 3.8
- NumPy (tested under version 1.20)
- SciPy (tested under version 1.6)
- Matplotlib (tested under version 3.3)
- SymPy (tested under version 1.7)
- PyQt5 (tested under version 5.13)
Launch of pylane
- Clone the repository
- Change into the root directory of the repository
- Execute
python run_pyplane.pyorpython -m pyplane
If you do not have Python available on Windows you can use the
stand-alone version. 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. However, 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.
The last version of this program which is fully compatible with Python 2.7 is version 1.1 .