As we know, if $x \in F(P)$ is on a Siegel disk, of which $F(P)$ represents the Fatou set, then the closure of the set {$x,P(x),P(P(x))...$} will form a simple closed curve on the complex plane. Is there a possibility that two different polynomials form the same curve on the complex plane?
2026-02-27 21:51:51.1772229111
Is there a possibility that two different polynomials have same polynomial orbit on Siegel Disk?
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