Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global secondary bifurcation, symmetry breaking and period-doubling   In this paper we provide a criterion for global secondary bifurcation via
symmetry breaking. As an application, the occurrence of period-doubling
bifurcations for the Lugiato-Lefever equation is proved.

33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc