The tutorial SH is part of a series of tutorials on the practical application of numerical path-continuation methods for problems in soft matter and pattern formation. It is part of the "Münsteranian Torturials on Nonlinear Science". The tutorial analyses the Swift-Hohenberg equation, a generic equation describing pattern formation close to a Turing instability. You will calculate uniform, periodic and localized steady states and determine their bifurcation behaviour. The employed code package is auto07p. It is recommended to consider this tutorial after working through some of the tutorials that are part of auto07p.

The Münsteranian Torturials on Nonlinear Science are edited by U. Thiele, O. Kamps and S. V. Gurevich and hosted by the Center for Nonlinear Science (CeNoS) of WWU Münster.