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Periodic points and chaos for expanding self-maps of the interval

Published online by Cambridge University Press:  17 April 2009

Zhang Zhenhua
Zhang Zhenhua
Affiliation:
Department of Mathematics, Hebei Teachers' University, Shijiazhuang, Hebei Province, The People's Republic of China.
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Abstract

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It is shown that expanding self-maps of the interval with a finite number of turning points must have periodic points whose periods are not integral power of 2 and therefore are chaotic.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 31 , Issue 3 , June 1985 , pp. 439 - 443
Copyright
Copyright © Australian Mathematical Society 1985

References

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