Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-dimensional dissipative maps at chaos threshold: Sensitivity to
  initial conditions and relaxation dynamics   The sensitivity to initial conditions and relaxation dynamics of
two-dimensional maps are analyzed at the edge of chaos, along the lines of
nonextensive statistical mechanics. We verify the dual nature of the entropic
index for the Henon map, one ($q_{sen}<1$) related to its sensitivity to
initial conditions properties, and the other, graining-dependent
($q_{rel}(W)>1$), related to its relaxation dynamics towards its stationary
state attractor. We also corroborate a scaling law between these two indexes,
previously found for $z$-logistic maps. Finally we perform a preliminary
analysis of a linearized version of the Henon map (the smoothed Lozi map). We
find that the sensitivity properties of all these $z$-logistic, Henon and Lozi
maps are the same, $q_{sen}=0.2445...$

15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg