Attracting Dynamics of Exponential Maps

  title={Attracting Dynamics of Exponential Maps},
  author={Dierk Schleicher}
We give a complete classification of hyperbolic components in the space of iterated exponential maps z 7→ λ exp(z) , and we describe a preferred parametrization of those components. More precisely, we associate to every hyperbolic component of period n a finite symbolic sequence of length n − 1 , we show that every such sequence is realized by a hyperbolic component, and the hyperbolic component specified by any such sequence is unique. This leads to a complete classification of all exponential… CONTINUE READING

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