BIFURCATION OF THREE DIMENSIONAL AUTONOMOUS SYSTEMS

Abstract

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