Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Superintegrable Extensions of Superintegrable Systems   A procedure to extend a superintegrable system into a new superintegrable one
is systematically tested for the known systems on $\mathbb E^2$ and $\mathbb
S^2$ and for a family of systems defined on constant curvature manifolds. The
procedure results effective in many cases including
Tremblay-Turbiner-Winternitz and three-particle Calogero systems.

26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph