Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Globally coupled chaotic maps and demographic stochasticity   The affect of demographic stochasticity of a system of globally coupled
chaotic maps is considered. A two-step model is studied, where the intra-patch
chaotic dynamics is followed by a migration step that coupled all patches; the
equilibrium number of agents on each site, $N$, controls the strength of the
discreteness-induced fluctuations. For small $N$ (large fluctuations) a
period-doubling cascade appears as the coupling (migration) increases. As $N$
grows an extremely slow dynamic emerges, leading to a flow along a
one-dimensional family of almost period 2 solutions. This manifold become a
true solutions in the deterministic limit. The degeneracy between different
attractors that characterizes the clustering phase of the deterministic system
is thus the $N \to \infty$ limit of the slow dynamics manifold.

34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics