Numerical continuation and bifurcation package
Project description
BICE
A numerical path continuation software for algebraic equations, ODEs, and PDEs.
Implements methods for the parameter continuation (arclength method) in the solution space of a user-defined equation and provides a toolbox for the stability and bifurcation analysis.
In addition, interfaces to various solvers and time-stepping methods are provided.
Installation
To install the latest published version from PyPI simply execute:
pip3 install bice
Alternatively, bice can be installed locally using the source code from our git repository.
Requirements
The software depends on Python 3 and the following third-party packages:
numpy, scipy, matplotlib, findiff, and numdifftools.
All will be installed automatically when installing bice.
Tutorials
We have first tutorials!
- Heat equation tutorial: a simple tutorial on how to use bice to implement a first partial differential equation and perform a time simulation of it.
- Swift-Hohenberg equation tutorial: a simple tutorial on how to use bice's path continuation capabilities.
- Predator-prey model tutorial: an introduction into the continuation of periodic orbits.
More will follow soon.
Meanwhile you can check out the less documented demos.
Documentation
Click here for the online version of the documentation.
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