Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized analytical solutions and experimental confirmation of
  complete synchronization in a class of mutually-coupled simple nonlinear
  electronic circuits   In this paper, we present a novel explicit analytical solution for the
normalized state equations of mutually-coupled simple chaotic systems. A
generalized analytical solution is obtained for a class of simple nonlinear
electronic circuits with two different nonlinear elements. The synchronization
dynamics of the circuit systems were studied using the analytical solutions.
the analytical results thus obtained have been validated through numerical
simulation results. Further, we provide a sufficient condition for
synchronization in mutually-coupled, second-order simple chaotic systems
through an analysis on the eigenvalues of the difference system. The
bifurcation of the eigenvalues of the difference system as functions of the
coupling parameter in each of the piecewise-linear regions, revealing the
existence of stable synchronized states is presented. The stability of
synchronized states are studied using the {\emph{Master Stability Function}}.
Finally, the electronic circuit experimental results confirming the phenomenon
of complete synchronization in each of the circuit system is presented.

31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex