Skew-product systems of holomorphic maps on the Riemann sphere forced by expanding circle maps admit three intermingled attractors with full-support basins.
Thick attractors with intermingled basins
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abstract
We construct various novel and elementary examples of dynamics with metric attractors that have intermingled basins. A main ingredient is the introduction of random walks along orbits of a given dynamical system. We develop theory for it and use it in particular to provide examples of thick metric attractors with intermingled basins.
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Intermingled basins: Kan's example on the Riemann sphere
Skew-product systems of holomorphic maps on the Riemann sphere forced by expanding circle maps admit three intermingled attractors with full-support basins.