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Inverse limits as attractors in parameterized families

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Author(s):
Boyland, Philip ; de Carvalho, Andre ; Hall, Toby
Total Authors: 3
Document type: Journal article
Source: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY; v. 45, p. 11-pg., 2013-10-01.
Abstract

We show how a parameterized family of maps of the spine of a manifold can be used to construct a family of homeomorphisms of the ambient manifold which have the inverse limits of the spine maps as global attractors. We describe applications to unimodal families of interval maps, to rotation sets, and to the standard family of circle maps. (AU)

FAPESP's process: 10/09667-0 - Topological methods in low-dimensional dynamics
Grantee:André Salles de Carvalho
Support Opportunities: Research Grants - Visiting Researcher Grant - International
FAPESP's process: 06/03829-2 - Dynamic in low dimensions
Grantee:André Salles de Carvalho
Support Opportunities: Research Projects - Thematic Grants