Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sensitive dependence and dense perodic points   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.

26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph