Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-hyperbolic Iterated Function Systems: semifractals and the chaos
  game   We consider iterated functions systems (IFS) on compact metric spaces and
introduce the concept of target sets. Such sets have very rich dynamical
properties and play a similar role as semifractals introduced by Lasota and
Myjak do for regular IFSs. We study sufficient conditions which guarantee that
the closure of the target set is a local attractor for the IFS. As a corollary,
we establish necessary and sufficient conditions for the IFS having a global
attractor. We give an example of a non-regular IFS whose target set is
nonempty, showing that our approach gives rise to a "new class" of
semifractals. Finally, we show that random orbits generated by IFSs draws
target sets that are "stable".

37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat