J4 ›› 2009, Vol. 44 ›› Issue (9): 90-92.
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ZHANG Zhi-Reng
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Abstract:
This paper gives complete results concerning the focus values at O(0,0), and the existence uniqueness of limit cycles for a class of polynomial systems dx/dt=-y+δx+lx2+mxy,dy/dt=x(1+a1y+…+any),Finally the geometric characteristics of singular points which lie on the invariant straight lines are given.
Key words: polynomial system; limit cycle; existence uniqueness;bifurcation
CLC Number:
ZHANG Zhi-Reng. The uniqueness of the limit cycle and the bifurcation of singular points for a class of polynomial systems[J].J4, 2009, 44(9): 90-92.
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http://lxbwk.njournal.sdu.edu.cn/EN/Y2009/V44/I9/90
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