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Fractals/Iterations in the complex plane/idifferent
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Fractals
Local dynamics near indifferent fixed point/cycle :
rationally indifferent ( parabolic ) - Leau-Fatou flower theorem
irrationally indifferent ( elliptic ) - Siegel disc
Key words
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parabolic enrichment :
^{[1]}
geometric limits
Lavaurs maps
Ecalle maps
horn maps
Fatou coordinates
References
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↑
Does a Julia set depend continuously on the polynomial? Adrien Douady Jan 1995