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| A SPECIAL CUBIC SYSTEM CLOSE RELATED TOTHE GENERAL QUADRATIC SYSTEM | |
| 作者姓名： | 叶彦谦 |
| 作者单位： | Dept. of Math.，NanjiDg University，Nanjing 210008 |
| 摘 要： | 1NumberandDistributionofCriticalPoilltsConsiderthefollowingcubicsystem:itcontainsonlytwocubictermspx'andqx'morethanthegeneralquadraticsystem:Thecoordinatesofthecriticalpointsatinfinityof(1)mustsatisfytheequation:px'y~qx'=0.(3)SoA(P,q,0)andB(0,l,0)aretheonlycriticalpointsatinfinityof(1).Itiseasilyseenthatthetwocharacteristicrootsof(1)atAareAl=AZ=--p,soAisastable(unstable)nodewhenp>0(<0).Moreover,Bisahigherordercriticalpointatinfinityof(1)withindex0,itisthepileupof3criticalpointsontheequat… |
A SPECIAL CUBIC SYSTEM CLOSE RELATED TO THE GENERAL QUADRATIC SYSTEM |
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| Ye Yanqian.A SPECIAL CUBIC SYSTEM CLOSE RELATED TOTHE GENERAL QUADRATIC SYSTEM[J].微分方程年刊(英文版),1999(3). | |
| Authors: | Ye Yanqian |
| Abstract: | |
| Keywords: | quadratic system cubic system critical point Poincare index theorem algebraic solution |
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