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Experimental results for the Poincar\'e center problem (including an Appendix with Martin Cremer)

Hans-Christian Graf v. Bothmer
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Abstract

We apply a heuristic method based on counting points over finite fields to the Poincar\'e 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

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Hans-Christian Graf v. Bothmer. 2005-05-25. Experimental results for the Poincar\'e center problem (including an Appendix with Martin Cremer). https://doi.org/10.1007/s00030-007-5036-x

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