A Siegel disc or Siegel disk is a connected component in the Fatou set where the dynamics is analytically conjugate to an irrational rotation. == Description == Given a holomorphic endomorphism f : S → S {\displaystyle f:S\to S} on a Riemann surface S {\displaystyle S} we consider the dynamical system generated by the iterates of f {\displaystyle f} denoted by f n = f ∘ ⋯ ( n ) ∘ f {\displaystyle f^{n}=f\circ {\stackrel {\left(n\right)}{\cdots }}\circ f} .
A Siegel disc or Siegel disk is a connected component in the Fatou set where the dynamics is analytically conjugate to an irrational rotation. == Description == Given a holomorphic endomorphism f : S → S {\displaystyle f:S\to S} on a Riemann surface S {\displaystyle S} we consider the dynamical system generated by the iterates of f {\displaystyle f} denoted by f n = f ∘ ⋯ ( n ) ∘ f {\displaystyle f^{n}=f\circ {\stackrel {\left(n\right)}{\cdots }}\circ f} .
Source: Wikipedia "Siegel disc" · CC BY-SA 4.0
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