BIFURCATION OF THREE DIMENSIONAL AUTONOMOUS SYSTEMS

Bifurcation of critical point of three dimensional differential equation autonomous system F(x) =dx/dt dx with F(x) = (F1,F2,F3) and X=( 3 1 2 x , x , x ) with the square term ( x 2/1 ) (was studied by Paul Phillips on and Peter Schuster .In this paper bifurcation of three-dimensional autonomous system with cubic term (x 3/1 ) and the two parameters is studied. The studying is carried out by transforming to non autonomous system and using the averaging method