Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Truncated horseshoes and formal languages in chaotic scattering   In this paper we study parameter families of truncated horseshoes as models
of multiscattering systems which show a transition to chaos without losing
hyperbolicity, so that the topological features of the transition are
completely describable by a parameterized family of symbolic dynamics. At a
fixed parameter value the corresponding horseshoe represents the set of orbits
trapped in the scattering region. The bifurcations are a pure boundary effect
and no other bifurcations such as saddle center bifurcations occur in this
transition scenario. Truncated horseshoes actually arise in concrete potential
scattering under suitable conditions. It is shown that a simple scattering
model introduced earlier can realize this scenario in a certain parameter range
(the "truncated sawshoe") . For this purpose, we solve the inverse scattering
problem of finding the central potential associated to the sawshoe model.
Furthermore, we review classification schemes for the transition to chaos of
truncated horseshoes originating from symbolic dynamics and formal language
theory and apply them to the truncated double horseshoe and the truncated
sawshoe.

11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph