Published January 1, 2017 | Version v1
Journal article Open

Toward Effective Detection of the Bifurcation Locus of Real Polynomial Maps

  • 1. Univ Fed Uberlandia, Fac Matemat, Ave Joao Naves de Avila 2121,1F-153, BR-38408100 Uberlandia, MG, Brazil
  • 2. Univ Galatasaray, Dept Math, TR-34357 Istanbul, Turkey
  • 3. Univ Lille, Lab Paul Painleve, Math UMR 8524, F-59000 Lille, France

Description

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 R-n -> R-p in case p > 1 . We describe an effective estimation of the "non-trivial" part of the bifurcation locus.

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