Persistent massive attractors of smooth maps

Details Persistent massive attractors of smooth maps Persistent massive attractors of smooth maps

2011-08-26

arxiv.org/abs/1108.5330v3

Mathematics

Dynamical Systems

13 pages. Minor corrections

Scientific paper

For smooth manifold of any dimension bigger than one, we present an open set
of smooth endomorphisms such that each of them has an attractor with 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.

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