Toward Effective Detection of the Bifurcation Locus of Real Polynomial Maps
Sign Up to like & getrecommendations! Published in 2017 at "Foundations of Computational Mathematics"
DOI: 10.1007/s10208-016-9303-2
Abstract: We answer to a problem raised by recent work of Jelonek and Kurdyka: how can one detect by rational arcs the bifurcation locus of a polynomial map $${\mathbb {R}}^n\rightarrow {\mathbb {R}}^p$$Rn→Rp in case $$p>1$$p>1. We… read more here.
Keywords: effective detection; bifurcation locus; toward effective; detection bifurcation ... See more keywords
Lattès maps and the interior of the bifurcation locus
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DOI: 10.3934/jmd.2019014
Abstract: We show the existence of open sets of bifurcations near Latt{\`e}s maps of sufficiently high degree. In particular, every Latt{\`e}s map has an iterate which is in the closure of the interior of the bifurcation… read more here.
Keywords: latt maps; interior bifurcation; bifurcation locus; maps interior ... See more keywords