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Persistent nonhyperbolic transitive diffeomorphisms. (English) Zbl 0852.58066
The paper constructs a large class of \(C^1\)-persistent, nonhyperbolic, transitive diffeomorphisms of a closed manifold of dimension \(m \geq 3\) that carries a \(C^\infty\) transitive Anosov vector field. Some of them are isotopic to the identity. Others are partially hyperbolic diffeomorphisms with a central space of dimension greater than one. An essential element of the proofs is the use of so-called center-stable blenders, which are kinds of higher-dimensional horseshoes.

MSC:
37D99 Dynamical systems with hyperbolic behavior
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