Tutorials

There are three levels of tutorials:

1. fully automatic bifurcation diagram (aBD) computation: one uses the function bifurcationdiagram and let it compute the diagram fully automatically. Note that you may have to tune the options before hand.
2. semi-automatic bifurcation diagram computation: one uses automatic branch switching (aBS) to compute branching at specified bifurcation points
3. manual bifurcation diagram computation: one does not uses automatic branch switching. This has only educational purposes and for complex problems where aBS fails.

Bifurcation of Equilibria

• Temperature model
• Temperature model with ApproxFun
• A generalized Bratu–Gelfand problem in two dimensions
• Snaking in the 2d Swift-Hohenberg equation
• The Swift-Hohenberg equation on the GPU (non-local)

Automatic bifurcation diagram

• Swift-Hohenberg equation 1d
• Automatic diagram of 2d Bratu–Gelfand problem (Intermediate)

Bifurcation diagrams with periodic orbits

• Brusselator 1d (automatic)
• Brusselator 1d (advanced user)
• Period doubling in the Barrio-Varea-Aragon-Maini model
• Complex Ginzburg-Landau 2d
• Complex Ginzburg-Landau 2d (shooting)