Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of Fixed Points and Chaos in Fractional Systems   In this paper we propose a method to define the range of stability of fixed
points for a variety of discrete fractional systems of the order $0 < \alpha
<2$. The method is tested on various forms of fractional generalizations of the
standard and logistic maps. Based on our analysis we make a conjecture that
chaos is impossible in the corresponding continuous fractional systems.

8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
29
The categories of this paper are: funct-an