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Normal forms of dynamical systems in Python
===========================================

This document describes how to use `a Python package`_ to compute normal forms of autonomous differential equations

.. math::

   \frac{dx}{dt} = f(x)


where :math:`f:\mathbb{R}^n\rightarrow\mathbb{R}^n`.


The first section of this documents presents some background and a few examples of normal forms, and the remaining sections present the Python classes that the main :class:`normal_forms.normal_form.normal_form` class uses.

The table of contents of this document is

.. toctree::
   :maxdepth: 2

   normal_forms
   jets
   lie

.. _`a Python package`: https://pypi.python.org/pypi/normal-forms