A model equation in combustion theory exhibiting an infinite number of secondary bifurcations
We investigate periodic solutions of a model equation arising in combustion theory. It is known that there is an infinite number of branches of solutions bifurcating from the trivial solution. In addition, it is shown that each of these primary branches exhibits an infinite number of secondary bifurcations. Both the primary and secondary branches can be given explicitly in terms of rational trigonometric functions.
infinite number of branches of solutions
infinite number of secondary bifurcations
scientific article; zbMATH DE number 4027059
scientific article