Centerfocus findings

From CenterfocusWiki

Preprints

• A survey of the Poincaré Center Problem in degree 3 using finite field heuristics , Hans-Christian Graf v. Bothmer, Jakob Kröker

Publications

• Experimental results for the Poincaré center problem, Hans-Christian Graf v. Bothmer (including an appendix with M. Cremer), NoDEA, Volume 14, Numbers 5-6 / December 2007.

All computations can be performed with our most recent program available at sourceforge. [ code at submission time ]

• "Focal values of plane cubic centers", Hans-Christian Graf v. Bothmer, Jakob Kröker, Qualitative Theory of Dynamical Systems, Volume 9, Number 1-2 (2010): 319-324, DOI 10.1007/s12346-010-0031-8, arXiv:0902.3415v1.

Theses

Diploma  thesis Das Poincarésche Zentrumsproblem: Komponenten der Zentrumsvarietät , Ulrich Rhein, 2008 [ Abstract ]   [ source code ]

Bachelor thesis Untersuchung der Komponenten der Zentrumsvarietät mit Interpolation, Johannes Steiner, 2011 [ Abstract ]
[ source code (macaulay-packages/LiftpointInterpolation.m2) is currently available from the svn trunk of the centerfocus project, checkout with svn co https://centerfocus.svn.sourceforge.net/svnroot/centerfocus/strudel/trunk/ ]