Centerfocus findings
From CenterfocusWiki
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| + | ==Preprints== | ||
| + | * [http://arxiv.org/pdf/1012.3402 A survey of the Poincaré Center Problem in degree 3 using finite field heuristics ], [http://www.crcg.de/wiki/User:Bothmer Hans-Christian Graf v. Bothmer], [http://www.crcg.de/wiki/User:Kroeker Jakob Kröker] | ||
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==Publications== | ==Publications== | ||
* [http://arxiv.org/abs/math/0505547 Experimental results for the Poincaré center problem], [http://www.crcg.de/wiki/User:Bothmer Hans-Christian Graf v. Bothmer] (including an appendix with M. Cremer), NoDEA, Volume 14, Numbers 5-6 / December 2007. | * [http://arxiv.org/abs/math/0505547 Experimental results for the Poincaré center problem], [http://www.crcg.de/wiki/User:Bothmer Hans-Christian Graf v. Bothmer] (including an appendix with M. Cremer), NoDEA, Volume 14, Numbers 5-6 / December 2007. | ||
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==Theses== | ==Theses== | ||
| - | '''Diploma thesis''' [http://ulrich.rhein.name/diplom/da.pdf Das Poincarésche Zentrumsproblem: Komponenten der Zentrumsvarietät ], Ulrich Rhein, 2008 [http://ulrich.rhein.name/diplom/ Abstract ] | + | '''Diploma thesis''' [http://ulrich.rhein.name/diplom/da.pdf Das Poincarésche Zentrumsproblem: Komponenten der Zentrumsvarietät ], Ulrich Rhein, 2008 [ [http://ulrich.rhein.name/diplom/ Abstract ] ] [ [http://sourceforge.net/projects/poincareisecs/ source code] ] |
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| + | '''Bachelor thesis''' [http://www.centerfocus.de/theses/js.pdf Untersuchung der Komponenten der Zentrumsvarietät mit Interpolation], Johannes Steiner, 2011 [ [[Steiner_abstract | Abstract]] ] <br> | ||
| + | [ source code ('''macaulay-packages/LiftpointInterpolation.m2''') is currently available from the svn trunk of the centerfocus project, checkout with<br> | ||
| + | svn co https://centerfocus.svn.sourceforge.net/svnroot/centerfocus/strudel/trunk/ | ||
| + | ] | ||
Current revision
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/
]
