HOPF BIFURCATION AND UNIQUENESS OF LIMIT CYCLE FOR A CLASS OF QUARTIC SYSTEM

摘要

This paper studies a class of quartic system which is more general and realistic than the quartic accompanyingsystem. x′=-y+ex+lx^2+mxy+ny^2,y′=x(1-Ay)(1+Cy^2),(*) where C>0.Sufficient conditions are obtained for the uniqueness of limit cycle of system(*) and some more in-depth conclusion such as Hopf bifurcation.