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Periodic points and chaotic functions in the unit interval

Published online by Cambridge University Press:  17 April 2009

G.J. Butler  and
G. Pianigiani
G.J. Butler
Affiliation:
Department of Mathematics, University of Alberta, Edmonton, Alberta, Canada;
G. Pianigiani
Affiliation:
Istituto Matematico “Ulisse Dini”, University di Firenze, Firenze, Italy.
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Abstract

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It is shown that the set of chaotic self-maps of the unit interval contains an open dense subset of the space of all continuous self-maps of the unit interval. Other aspects of chaotic behaviour are also considered together with some illustrative examples.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 18 , Issue 2 , April 1978 , pp. 255 - 265
Copyright
Copyright © Australian Mathematical Society 1978

References

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