| GLOBAL PHASE-PORTRAITS OF PLANEHOMOGENEOUS POIYNOMIAL VECTOR FIELDSAND STABILITY OF THE ORIGIN |
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| 引用本文： | YANG Xiaojing (Department of Applied Mathematics,Tsinghua University,Beijing 100084,China). GLOBAL PHASE-PORTRAITS OF PLANEHOMOGENEOUS POIYNOMIAL VECTOR FIELDSAND STABILITY OF THE ORIGIN[J]. 系统科学与复杂性, 1997, 0(1) |
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| 作者姓名： | YANG Xiaojing (Department of Applied Mathematics Tsinghua University Beijing 100084 China) |
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| 作者单位： | Department of Applied Mathematics，Tsinghua University，Beijing 100084，China |
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| 摘 要： | 1.IntroductionT.Dated]obtainedanalgebraicclassificationofplanehomogeneousquadraticvectorfields,A.Cima[2]gaveanalgebraicandtopologicalclassificationofhomogeneouscubicvectorfieldsintheplane.Theirmethodswerebasedontheclassificationofforth-orderbinaryformsdev…
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GLOBAL PHASE-PORTRAITS OF PLANE HOMOGENEOUS POIYNOMIAL VECTOR FIELDS AND STABILITY OF THE ORIGIN |
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| YANG Xiaojing. GLOBAL PHASE-PORTRAITS OF PLANE HOMOGENEOUS POIYNOMIAL VECTOR FIELDS AND STABILITY OF THE ORIGIN[J]. Journal of Systems Science and Complexity, 1997, 0(1) |
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| Authors: | YANG Xiaojing |
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| Abstract: | In this paper, the phase-portraits of plane homogeneous polynomial vector fields are studied and some formulae for the calculation of the number of different global phase-portraits of plane homogeneous polynomial vector fields are given. Some necessary and sufficient conditions for the global stability of these vector fields are derived. |
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| Keywords: | Plane homogeneous polynomial vector fields phase-portraits stability |
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