Sensitive dependence and dense perodic points

Details Sensitive dependence and dense perodic points Sensitive dependence and dense perodic points

2003-02-24

arxiv.org/abs/math/0302282v1

Mathematics

Dynamical Systems

4 pages; latex

Scientific paper

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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