Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Structured light entities, chaos and nonlocal maps   Spatial chaos as a phenomenon of ultimate complexity requires the efficient
numerical algorithms. For this purpose iterative low-dimensional maps have
demonstrated high efficiency. Natural generalization of Feigenbaum and Ikeda
maps may include convolution integrals with kernel in a form of Green function
of a relevant linear physical system. It is shown that such iterative
$nonlocal$ $nonlinear$ $maps$ are equivalent to ubiquitous class of nonlinear
partial differential equations of Ginzburg-Landau type. With a Green functions
relevant to generic optical resonators these $nonlocal$ $maps$ emulate the
basic spatiotemporal phenomena as spatial solitons, vortex eigenmodes breathing
via relaxation oscillations mediated by noise, vortex-vortex and
vortex-antivortex lattices with periodic location of vortex cores. The smooth
multimode noise addition facilitates the selection of stable entities and
elimination of numerical artifacts.

4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th