Bifurcations of cycles in systems of differential equations with a finite symmetry group. I. II
One-parameter bifurcations of periodic solutions to differential equations with a finite symmetry group are studied. Three types of periodic solutions (F-cycles, S-cycles and FS-cycles) are considered separately. In paper I, bifurcations of F-cycles at double real multipliers and all codimension one bifurcations of S-cycles are studied. In paper II, a more complicated case of a double part of complex multipliers for F-cycles is considered and bifurcations of FS-cycles are shortly discussed.
scientific article; zbMATH DE number 1431867