Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability and bifurcation properties of the algorithms for keeping of
  differential equations solutions on the required level   Algorithms of control of differential equations solutions are under
investigation in the article. Idealized and real modifications of the
algorithms are distinguished. An equation, which can be the base equation for
investigation of the idealized algorithms properties, is constructed. The
difference appearing for real systems and real algorithms is for separate
investigation. This difference tends to zero under tending to zero of the time
step of control. If the systems of equations satisfy or almost satisfy some
properties for which the algorithms are intended, then the results are similar
numerically as well. One of the algorithms demonstrates high reliability.
Another one is of more complex properties. Bifurcations, periodic solutions and
strange attractors are possible in both algorithms in addition to stable steady
states.

18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess