Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Automated computation of robust normal forms of planar analytic vector
  fields   We construct an auto-validated algorithm that calculates a close to identity
change of variables which brings a general saddle point into a normal form. The
transformation is robust in the underlying vector field, and is analytic on a
computable neighborhood of the saddle point. The normal form is suitable for
computations aimed at enclosing the flow close to the saddle, and the time it
takes a trajectory to pass it. Several examples illustrate the usefulness of
this method.

28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess