Abstract
This paper studies a class of quartic system which is more general and realistic than the quartic accompanying system. 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.
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