Work

Persistent massive attractors of smooth maps

Year: 2012

Type: article

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≥3. The construction applies to any manifold of the form S1×M, where S1 is the standard circle and Mis an arbitrary manifold.

Source: Ergodic Theory and Dynamical Systems

DOI: 10.1017/etds.2012.139

Author: D. VOLK

Institutions: Russian Academy of Sciences, Institute for Information Transmission Problems

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2136069020

FWCI: 0.368

Cites: 17

Cited by: 3

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