Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the sighting of unicorns: a variational approach to computing
  invariant sets in dynamical systems   We propose to compute approximations to general invariant sets in dynamical
systems by minimizing the distance between an appropriately selected finite set
of points and its image under the dynamics. We demonstrate, through
computational experiments that this approach can successfully converge to
approximations of (maximal) invariant sets of arbitrary topology, dimension and
stability as, e.g., saddle type invariant sets with complicated dynamics. We
further propose to extend this approach by adding a Lennard-Jones type
potential term to the objective function which yields more evenly distributed
approximating finite point sets and perform corresponding numerical
experiments.

26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph