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6533b7d6fe1ef96bd1265de1

RESEARCH PRODUCT

Bifurcations in the elementary Desboves family

Johan TaflinFabrizio Bianchi

subject

[ MATH ] Mathematics [math]Pure mathematicsEndomorphismMathematics - Complex VariablesApplied MathematicsGeneral Mathematics010102 general mathematicsDynamical Systems (math.DS)MSC: 32H50 37F4516. Peace & justice01 natural sciencesJulia setDynamicsRational mapsBifurcation locus0103 physical sciencesFOS: Mathematics32H50 37F45 37F50010307 mathematical physics0101 mathematics[MATH]Mathematics [math]Complex Variables (math.CV)Mathematics - Dynamical SystemsMathematics

description

International audience; We give an example of a family of endomorphisms of $\mathbb{P}^2(\mathbb{C})$ whose Julia set depends continuously on the parameter and whose bifurcation locus has non-empty interior.

yearjournalcountryeditionlanguage
2017-10-01
https://hal-univ-bourgogne.archives-ouvertes.fr/hal-01611690
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