A robustly transitive diffeomorphism of Kan's type
Abstract
We construct a family of partially hyperbolic skew-product diffeomorphisms on T3 that are robustly transitive and admitting two physical measures with intermingled basins. In particularly, all these diffeomorphisms are not topologically mixing. Moreover, for every such example, it exhibits a dichotomy under perturbation: every perturbation of such example either has a unique physical measure and is robustly topologically mixing, or has two physical measures with intermingled basins.
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