Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Control of diffusion-driven pattern formation behind a wave of
  competency   In certain biological contexts, such as the plumage patterns of birds and
stripes on certain species of fishes, pattern formation takes place behind a
so-called "wave of competency". Currently, the effects of a wave of competency
on the patterning outcome is not well-understood. In this study, we use
Turing's diffusion-driven instability model to study pattern formation behind a
wave of competency, under a range of wave speeds. Numerical simulations show
that in one spatial dimension a slower wave speed drives a sequence of peak
splittings in the pattern, whereas a higher wave speed leads to peak
insertions. In two spatial dimensions, we observe stripes that are either
perpendicular or parallel to the moving boundary under slow or fast wave
speeds, respectively. We argue that there is a correspondence between the one-
and two-dimensional phenomena, and that pattern formation behind a wave of
competency can account for the pattern organization observed in many biological
systems.

4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int