Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Emergence of the bifurcation structure of a Langmuir-Blodgett transfer
  model   We explore the bifurcation structure of a modified Cahn-Hilliard equation
that describes a system that may undergo a first order phase transition and is
kept permanently out of equilibrium by a lateral driving. This forms a simple
model, e.g., for the deposition of stripe patterns of different phases of
surfactant molecules through Langmuir-Blodgett transfer. Employing continuation
techniques the bifurcation structure is numerically investigated employing the
non-dimensional transfer velocity as the main control parameter. It is found
that the snaking structure of steady fronts states is intertwined with a large
number of branches of time-periodic solutions that emerge from Hopf or period
doubling bifurcations and end in global bifurcations (sniper and homoclinic).
Overall the bifurcation diagram has a harp-like appearance. This is
complemented by a two-parameter study (in non-dimensional transfer velocity and
domain size) that elucidates through which local and global codimension 2
bifurcations the entire harp-like structure emerges.

10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org