Study on the Normal Form of Hopf Bifurcation System with the Inner Product Method

The normal form of Hopf bifurcation system was studied by normal form theory of dynamic system.The higher order normal form of Hopf bifurcation system was computed with the inner product method,and the method of matrix representation was extended.It was obtained that a normal form of Hopf bifurcation system was simpler than the conventional normal form.