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Periods for triangular maps

Published online by Cambridge University Press:  17 April 2009

Lluís Alsedà  and
Jaume Llibre
Lluís Alsedà
Affiliation:
Departament de Mathemàtiques, Universitat Autònoma de Barcelona, 08193 – Bellaterra, Barcelona, Spain
Jaume Llibre
Affiliation:
Departament de Mathemàtiques, Universitat Autònoma de Barcelona, 08193 – Bellaterra, Barcelona, Spain
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Abstract

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We study the sets of periods of triangular maps on a cartesian product of arbitrary spaces. As a consequence we extend Kloeden's Theorem (in a 1979 paper) to a class of triangular maps on cartesian products of intervals and circles. We also show that, in some sense, this is the more general situation in which the Sharkovskiĭ ordering gives the periodic structure of triangular maps.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 47 , Issue 1 , February 1993 , pp. 41 - 53
Copyright
Copyright © Australian Mathematical Society 1993

References

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