Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new fractional order chaotic dynamical system and its synchronization
  using optimal control   In this work, we introduce a new three-dimensional chaotic differential
dynamical system. We find equilibrium points of this system and provide the
stability conditions for various fractional orders. Numerical simulations will
be used to investigate the chaos in the proposed system. A simple linear
control will be used to control the chaotic oscillations. Further, we propose
an optimal control which is based on the fractional order of the system and use
it to synchronize new chaotic system.

18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat