Acta mathematica scientia,Series B ›› 1991, Vol. 11 ›› Issue (1): 65-71.
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Liu Deming
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Abstract: In this paper, we discuss the limit cycles of the system dx/dt=y·[1+(A(x)]dy/dt=(-x+δy+a1x2+a2xy+a5x2y)[1+B(x)] (1)where A(x)=Σi=1naixi, B(x)=Σj=1m(Bjxj) and 1+B(x)>0. We prove that (1) possesses at most one limit cycle and give out the necessary and sufficient conditions of existence and uniqueness of limit cycles.
Liu Deming. NECESSARY AND SUFFICIENT CONDITIONS OF EXISTENCE AND UNIQUENESS OF LIMIT CYCLES FOR A CLASS OF POLYNOMIAL SYSTEM[J].Acta mathematica scientia,Series B, 1991, 11(1): 65-71.
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