Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Liapunov's direct method for Birkhoffian systems: Applications to
  electrical networks   In this paper, the concepts and the direct theorems of stability in the sense
of Liapunov, within the framework of Birkhoffian dynamical systems on
manifolds, are considered. The Liapunov-type functions are constructed for
linear and nonlinear LC and RLC electrical networks, to prove stability under
certain conditions.

33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg