Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Model of Globally Coupled Duffing Flows   A Duffing oscillator in a certain parameter range shows period-doubling that
shares the same Feigenbaum ratio with the logistic map, which is an important
issue in the universality in chaos. In this paper a globally coupled lattice of
Duffing flows (GCFL), which is a natural extension of the globally coupled
logistic map lattice (GCML), is constructed. It is observed that GCFL inherits
various intriguing properties of GCML and that universality at the level of
elements is thus lifted to that of systems. Phase diagrams of GCFL are
determined, which are essentially the same with those of GCML. Similar to the
two-clustered periodic attractor of GCML, the GCFL two-clustered attractor
exhibits a successive period-doubling with an increase of population imbalance
between the clusters. A non-trivial distinction between the GCML and GCFL
attractors that originates from the symmetry in the Duffing equation is
investigated in detail.

17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc