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, 3.9
- NumPy (tested under version 1.20, 1.21)
- SciPy (tested under version 1.6, 1.7)
- Matplotlib (tested under version 3.3, 3.4)
- SymPy (tested under version 1.7, 1.9)
- PyQt5 (tested under version 5.13, 5.15)
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 .