CL MATCONTL: a continuation toolbox for large equilibrium problems in MATLAB.

CL MATCONT and its GUI version MATCONT are MATLAB pack-ages for the study of dynamical systems and their bifurcations for small and moderate size problems. CL MATCONTL is an extension of the functionality of CL MATCONT to large-scale computations of equilibria bifurcations, via subspace reduction. It allows to compute curves of equi-libria, limit points, Hopf points, and branch switching. CL MATCONTL can also monitor user- defined functions and locate their roots along com-puted curves. It can compute all necessary derivatives by finite differences, from file or by using the symbolic toolbox of MATLAB. In this tutorial we describe a numerical study of a finite difference discretization of the 1-D Brusselator, a well known model system for au-tocatalytic chemical reactions with diffusion. Most of the capabilities o