Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the complete synchronization of a time-fractional reaction-diffusion
  system with the Newton-Leipnik nonlinearity   In this paper, we consider a time-fractional reaction-diffusion system with
the same nonlinearities of the Newton-Leipnik chaotic system. Through
analytical tools and numerical results, we derive sufficient conditions for the
asymptotic stability of the proposed model and show the existence of chaos. We
also propose a nonlinear synchronization controller for a pair of systems and
establish the local and global asymptotic convergence of the trajectories by
means of fractional stability theory and the Lyapunov method.

32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th