Persistent massive attractors of smooth maps

Abstract

For a smooth manifold of any dimension greater than one, we present an open set of smooth endomorphisms such that any of them has a transitive attractor with a non-empty interior. These maps are $m$-fold non-branched coverings, $m\ge 3$. The construction applies to any manifold of the form $S^1\times M$, where $S^1$ is the standard circle and $M$ is an arbitrary manifold.

13 pages. Added more references, updated existing ones

References in corpus (2)

• On stochastic sea of the standard map
• Invisible Parts of Attractors

Cited by in corpus (1)

• Robust minimality of iterated function systems with two generators