bice 0.4.6

Numerical continuation and bifurcation package

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.