Degeneration of the Julia set to singular loci of algebraic curves
classification
🌊 nlin.SI
math-phmath.MP
keywords
curvesalgebraicjulialocisingularalongapproachchanges
read the original abstract
We show that, when a non-integrable rational map changes to an integrable one continuously, a large part of the Julia set of the map approach indeterminate points (IDP) of the map along algebraic curves. We will see that the IDPs are singular loci of the curves.
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