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

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

2005-05-25

arxiv.org/abs/math/0505547v2

NoDEA, Volume 14, Numbers 5-6 / December 2007, pages 671-698

Mathematics

Algebraic Geometry

16 pages, 2 figures, source code of programs at http://www-ifm.math.uni-hannover.de/~bothmer/strudel/. Added references, the

Scientific paper

10.1007/s00030-007-5036-x

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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