B.L. Keyfitz, M. Golubitsky, M. Gorman and P. Chossat

The use of symmetry and bifurcation techniques in studying flame stability

In: Reacting Flows: Combustion and Chemical Reactors. (G.S.S. Ludford, ed.) Lectures in Appl. Math. 24, Part 2 AMS, Providence, 1986, 293-315.


We use group theory techniques to study the mode interaction of Hopf bifurcations with 0(2) symmetry. The particular mathematical problems we study are motivated by experimental results on mesh stabilized porous plug burner flames.