NUMERICAL-METHODS FOR STEADY-STATE MODE INTERACTIONS

Mode interactions on nontrivial solutions for problems with Z(2) x Z(2 ) symmetry are considered. It is assumed that a path of bifurcation po ints is being followed with two parameters and a mode interaction then corresponds to two separate bifurcations of an extended system. This view of mode interactions leads to efficient numerical methods for dea ling with such points and for swapping onto the new paths of bifurcati on points which originate there. The nondegeneracy conditions associat ed with mode interactions are also interpreted in this context.