Stability of equivariant bifurcation problems with two types of state variables and their unfoldings in presence of parameter symmetry

摘要

Based on the contact equivalent relation of smooth map-germs in singu- larity theory,the stability of equivariant bifurcation problems with two types of state variables and their unfoldings in the presence of parameter symmetry is discussed.Some basic results are obtained.Transversality condition is used to characterize the stability of equavaxiant bifurcation problems.