Sensitive dependence and dense perodic points

S. Kanmani

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Sensitive dependence and dense perodic points

S. Kanmani

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Abstract

We show sensitive dependece on initial condition and dense periodic points imply asymptotic sensitivity, a stronger form of sensitivity, where the deviation happens not just once but infintely many times. As a consequence it follows that all Devaney chaotic systems (e.g. logistic map) have this property.

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BibTeX RIS

S. Kanmani. 2003-02-24. Sensitive dependence and dense perodic points. https://arxiv.org/abs/math/0302282

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