Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The set of hyperbolic equilibria and of invertible zeros on the unit
  ball is computable   In this note, we construct an algorithm that, on input of a description of a
structurally stable planar dynamical flow $f$ defined on the closed unit disk,
outputs the exact number of the (hyperbolic) equilibrium points and their
locations with arbitrary accuracy. By arbitrary accuracy it is meant that any
accuracy required by the input can be achieved. The algorithm can be further
extended to a root-finding algorithm that computes the exact number of zeros as
well the location of each zero of a continuously differentiable function $f$
defined on the closed unit ball of $\mathbb{R}^{d}$, provided that the Jacobian
of $f$ is invertible at each zero of $f$; moreover, the computation is uniform
in $f$.

4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex