| THE INVARIANT NON-ISOLATED CLOSED CONES FOR A CLASS OF CUBIC HOMOGENEOUS VECTOR FIELDS IN R~3 |
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| 引用本文： | 梁肇军.THE INVARIANT NON-ISOLATED CLOSED CONES FOR A CLASS OF CUBIC HOMOGENEOUS VECTOR FIELDS IN R~3[J].Annals of Differential Equations,1999(2). |
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| 作者姓名： | 梁肇军 |
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| 作者单位： | Dept. of Math.，Center China Normal University，Wuhan 430079 |
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| 摘 要： |
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THE INVARIANT NON-ISOLATED CLOSED CONES FOR A CLASS OF CUBIC HOMOGENEOUS VECTOR FIELDS IN R~3 |
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| Liang Zhaojun.THE INVARIANT NON-ISOLATED CLOSED CONES FOR A CLASS OF CUBIC HOMOGENEOUS VECTOR FIELDS IN R~3[J].微分方程年刊(英文版),1999(2). |
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| Authors: | Liang Zhaojun |
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| Abstract: | In this paper, we investigate the invariant cones of cubic homogeneous polynomial vector fields with three variables. Sufficient conditions for the existence of invariant non-isolated closed cones are obtained as algebraic expressions in terms of the coefficients of certain cubic homogeneous polynomials. |
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| Keywords: | homogeneous vector field invariant cone |
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