The golden-mean semi-Siegel Hénon family is not weakly J*-stable at any parameter, yielding Newhouse phenomenon and disconnected Julia sets on dense parameter sets.
Renormalization in the Golden-Mean Semi-Siegel H\'enon Family: Non-Quasisymmetry
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
For quadratic polynomials of one complex variable, the boundary of the golden-mean Siegel disk must be a quasicircle. We show that the analogous statement is not true for quadratic H\'enon maps of two complex variables.
fields
math.DS 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Structural Instability of Semi-Siegel H\'enon maps
The golden-mean semi-Siegel Hénon family is not weakly J*-stable at any parameter, yielding Newhouse phenomenon and disconnected Julia sets on dense parameter sets.