Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A numerical method for constructing the hyperbolic structure of complex
  Henon mappings   For complex parameters a,c, we consider the Henon mapping H_{a,c}: C^2 -> C^2
given by (x,y) -> (x^2 +c -ay, x), and its Julia set, J. In this paper, we
describe a rigorous computer program for attempting to construct a cone field
in the tangent bundle over J, which is preserved by DH, and a continuous norm
in which DH (and DH^{-1}) uniformly expands the cones (and their complements).
We show a consequence of a successful construction is a proof that H is
hyperbolic on J. We give several new examples of hyperbolic maps, produced with
our computer program, Hypatia, which implements our methods.

30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol