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arXiv math/0505547math.AGmath.DS
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庞加莱中心问题的实验结果(包括Martin Cremer的附录)

Experimental results for the Poincaré center problem (including an Appendix with Martin Cremer)

Hans-Christian Graf v. Bothmer

摘要:

我们将一种基于有限域上点计数的启发式方法应用于Poincaré中心问题。我们表明,这种方法给出了正确的结果,齐次非线性度为2和3。对Zoladek关于一般3次非线性项的猜想也获得了新的证据

英文摘要:

We apply a heuristic method based on counting points over finite fields to the Poincaré center problem. We show that this method gives the correct results for homogeneous non linearities of degree 2 and 3. Also we obtain new evidence for Zoladek's conjecture about general degree 3 non linearities

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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