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A method for constructing attractors

Published online by Cambridge University Press:  19 September 2008

Marcy Barge
Affiliation:
Department of Mathematical Sciences, Montana State University, Bozeman, Montana 59717, USA
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Abstract

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A procedure is developed for constructing C1 diffeomorphisms of the two sphere having inverse limits of certain interval maps as attractors. The method is carried out for a particular interval map yielding a diffeomorphism with a transitive non-hyperbolic attractor.

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Type
Research Article
Copyright
Copyright © Cambridge University Press 1988