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ON THE RELATIVE POSITION OF LIMIT CYCLES OF A REAL QUADRATIC DIFFERENTIAL SYSTEM

ON THE RELATIVE POSITION OF LIMIT CYCLES OF A REAL QUADRATIC DIFFERENTIAL SYSTEM
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摘要 The followunh results are proved in this paper1)If a real quadratic differential system has two strong foci,then around them therecannot appear(2n,2m)distribution of non-semi-stable limit cycles,where n and m arenatural 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 limitcycles,where n and m are natural numbers. The followunh results are proved in this paper 1)If a real quadratic differential system has two strong foci,then around them there cannot appear(2n,2m)distribution of non-semi-stable limit cycles,where 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,where n and m are natural numbers.
作者 叶彦谦
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1990年第1期74-83,共10页 数学年刊(B辑英文版)
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