Topological Conditions for the Existence of Absorbing Cantor Sets

@inproceedings{Bruin1998TopologicalCF,
  title={Topological Conditions for the Existence of Absorbing Cantor Sets},
  author={Henk Bruin},
  year={1998}
}
This paper deals with strange attractors of S-unimodal maps f . It generalizes earlier results in the sense that very general topological conditions are given that either i) guarantee the existence of an absorbing Cantor set provided the critical point of f is sufficiently degenerate, or ii) prohibit the existence of an absorbing Cantor set altogether. As a by-product we obtain very weak topological conditions that imply the existence of an absolutely continuous invariant probability measure… CONTINUE READING

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