Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence towards asymptotic state in 1-D mappings: a scaling
  investigation   Decay to asymptotic steady state in one-dimensional logistic-like mappings is
characterized by considering a phenomenological description supported by
numerical simulations and confirmed by a theoretical description. As the
control parameter is varied bifurcations in the fixed points appear. We
verified at the bifurcation point in both; the transcritical, pitchfork and
period-doubling bifurcations, that the decay for the stationary point is
characterized via a homogeneous function with three critical exponents
depending on the nonlinearity of the mapping. Near the bifurcation the decay to
the fixed point is exponential with a relaxation time given by a power law
whose slope is independent of the nonlinearity. The formalism is general and
can be extended to other dissipative mappings.

21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph