Numerical Algorithms for Nonlinear Dynamics
&
Existing Program Implementations

From the bifurcation analysis point of view XPP (alternative name XPPAUT) is, mainly, wrapper for AUTO package. On the other hand G. Bard Ermentrout, from Pittsburgh University, provide a handful of additional capabilities, so the interactive graphical interface for AUTO is a small part of what it can do. XPP may solve delayed equations, stochastic differential equations, it includes a dozen of different ODE solvers, it may compute one-dimensional invariant sets, bifurcation diagrams, animations and many, many more. It is aimed first of all at visual modelling - without need to write a lot of code, user must supply only system equations in pseudocode - the dynamics of nonlinear systems in the phase space depending on several control parameters.

Professor has published the book about XPP. This is a unique case in my software zoo.