Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The emergence of a coherent structure for coherent structures: localized
  states in nonlinear systems   Coherent structures emerge from the dynamics of many kinds of dissipative,
externally driven, nonlinear systems, and continue to provoke new questions
that challenge our physical and mathematical understanding. In one specific
sub-class of such problems, where a pattern-forming, or `Turing', instability
occurs, rapid progress has been made recently in our understanding of the
formation of localized states: patches of regular pattern surrounded by the
unpatterned homogeneous background state. This short review article surveys the
progress that has been made for localized states, proposes three areas of
application for these ideas that would take the theory in new directions and
ultimately be of substantial benefit to areas of applied science. Finally I
offer speculations for future work, based on localized states, that may help
researchers to understand coherent structures more generally.

31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph