On the Relative Position of Limit Cycles of a Real Quadratic Differential System

Citation:

Ye Yanqian(叶彦谦).On the Relative Position of Limit Cycles of a Real Quadratic Differential System[J].Chinese Annals of Mathematics B,1990,11(1):74~83
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Authors:

Ye Yanqian(叶彦谦);
Abstract: The followunh results are proved in this paper 1) If a real quadratic differential system has two strong foci, then around thorn thoro cannot appear (2n, 2m) distribution of non-seini-stable limit cycles, whore n and m are natural numbers. 2) If a real quadratic differential system has'two strong foci of different stability, then around them there cannot appear (2n, 2m) distribution of non-semi-stable limit cycles, whore n and m are natural numbers.

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