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系统科学与数学 2008
The Limit Cycles for a Class of Cubic Systems II
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Abstract:
The limit cycles for the cubic system $$\begin{array}{ll}&\dot{x}=-y(1-ax)(1-bx)+\delta x-lx^3,\\2mm]&\dot{y}=x(1-c_1x)(1-c_2x)\end{array}$$are discussed. With some conditions of parameters, the existence and uniqueness of limit cycle are given. The obtained results generalize the existing ones.