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arXiv 0904.4189math.DS
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具有大次数不变代数曲线的二次向量场

Quadratic vector fields with invariant algebraic curve of large degree

R. Ramirez, N. Sadovskaia

摘要:

用一条大次数不变的代数曲线构造了一个二次多项式平面向量场。我们给出了一个显式的二次向量场,它具有九次、十二次、十五次和十八次不变曲线.

英文摘要:

We construct a polynomial planar vector field of degree two with one invariant algebraic curves of large degree. We exhibit an explicit quadratic vector fields which invariant curves of degree nine, twelve, fifteen and eighteen degree.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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