Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonautonomous control of stable and unstable manifolds in
  two-dimensional flows   We outline a method for controlling the location of stable and unstable
manifolds in the following sense. From a known location of the stable and
unstable manifolds in a steady two-dimensional flow, the primary segments of
the manifolds are to be moved to a user-specified time-varying location which
is near the steady location. We determine the nonautonomous perturbation to the
vector field required to achieve this control, and give a theoretical bound for
the error in the manifolds resulting from applying this control. The efficacy
of the control strategy is illustrated via a numerical example.

16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc