Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Validity of threshold-crossing analysis of symbolic dynamics from
  chaotic time series   A practical and popular technique to extract the symbolic dynamics from
experimentally measured chaotic time series is the threshold-crossing method,
by which an arbitrary partition is utilized for determining the symbols. We
address to what extent the symbolic dynamics so obtained can faithfully
represent the phase-space dynamics. Our principal result is that such practice
leads to a severe misrepresentation of the dynamical system. The measured
topological entropy is a Devil's staircase-like, but surprisingly nonmonotone,
function of a parameter characterizing the amount of misplacement of the
partition.

7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ