Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Orbit complexity, initial data sensitivity and weakly chaotic dynamical
  systems   We give a definition of generalized indicators of sensitivity to initial
conditions and orbit complexity (a measure of the information that is necessary
to describe the orbit of a given point).
  The well known Ruelle-Pesin and Brin-Katok theorems, combined with Brudno's
theorem give a relation between initial data sensitivity and orbit complexity
that is generalized in the present work.
  The generalized relation implies that the set of points where the sensitivity
to initial conditions is more than exponential in all directions is a 0
dimensional set. The generalized relation is then applied to the study of an
important example of weakly chaotic dynamics: the Manneville map.

16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg