Abstract: In this paper,we consider two extended systems.When using them for the two parameter bifurcation problems,the simple bifurcation point with regard to λ can turn into the simple turning point with regard to μ Simple high orde bifurcation point is first studied without using the symmetry condition.

Key words: two-parameter nonlinear problems, extended systems, bifurcation problem, Simple tarning point, simple high order bifurcation point