Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Theory and Applications of the Systematic Detection of Unstable Periodic
  Orbits in Dynamical Systems   A topological approach and understanding to the detection of unstable
periodic orbits based on a recently proposed method (PRL 78, 4733 (1997)) is
developed. This approach provides a classification of the set of
transformations necessary for the finding of the orbits. Applications to the
Ikeda and Henon map are performed, allowing a study of the distributions of
Lyapunov exponents for high periods. Particularly the properties of the least
unstable orbits up to period 36 are investigated and discussed.

25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph