AUTO - continuation and bifurcation software
A brief introduction
The software AUTO can be used to solve continuation and bifurcation problems in ordinary differential equations.
subject to boundary (including initial) conditions and integral constraints. Above, p denotes one or more free parameters.
A simple example
AUTO can easily compute stationary solutions of the cusp normal form equation
locating saddle-node bifurcations of these solutions, and the continuation of a saddle-node bifurcation in two parameters.
Figure 1: The first bifurcation diagram of the cusp equation made by AUTO.