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Fractals/Iterations in the complex plane/idifferent
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Various types of dynamics needs various algorithms
Local dynamics near indifferent fixed point/cycle :
rationally indifferent ( parabolic ) - Leau-Fatou flower theorem
irrationally indifferent ( elliptic ) - Siegel disc
Key words
parabolic enrichment :Does a Julia set depend continuously on the polynomial? Adrien Douady Jan 1995
geometric limits
Lavaurs maps
Ecalle maps
horn maps
Fatou coordinates
References