Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamical properties of a dissipative discontinuous map: A scaling
  investigation   The effects of dissipation on the scaling properties of nonlinear
discontinuous maps are investigated by analyzing the behavior of the average
squared action $\left< I^2 \right>$ as a function of the $n$-th iteration of
the map as well as the parameters $K$ and $\gamma$, controlling nonlinearity
and dissipation, respectively. We concentrate our efforts to study the case
where the nonlinearity is large; i.e., $K\gg 1$. In this regime and for large
initial action $I_0\gg K$, we prove that dissipation produces an exponential
decay for the average action $\left< I \right>$. Also, for $I_0\cong 0$, we
describe the behavior of $\left< I^2 \right>$ using a scaling function and
analytically obtain critical exponents which are used to overlap different
curves of $\left< I^2 \right>$ onto an universal plot. We complete our study
with the analysis of the scaling properties of the deviation around the average
action $\omega$.

30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys