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Persistent massive attractors of smooth maps

Published online by Cambridge University Press:  23 November 2012

D. VOLK
D. VOLK*
Affiliation:
Scuola Internazionale Superiore di Studi Avanzati, Institute for Information Transmission Problems, Russian Academy of Sciences, Russia (email: denis.volk@sissa.it)
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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 34 , Issue 2 , April 2014 , pp. 693 - 704
Copyright
©2012 Cambridge University Press 

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