Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Experimental evidence of variable-order behavior of ladders and nested
  ladders   The experimental study of two kinds of electrical circuits, a domino ladder
and a nested ladder, is presented. While the domino ladder is known and already
appeared in the theory of fractional-order systems, the nested ladder circuit
is presented in this article for the first time. For fitting the measured data,
a new approach is suggested, which is based on using the Mittag-Leffler
function and which means that the data are fitted by a solution of an
initial-value problem for a two-term fractional differential equation. The
experiment showed that in the frequency domain the domino ladder behaves as a
system of order 0.5 and the nested ladder as a system of order 0.25, which is
in perfect agreement with the theory developed for their design. In the time
domain, however, the order of the domino ladder is changing from roughly 0.5 to
almost 1, and the order of the nested ladder is changing in a similar manner,
from roughly 0.25 to almost 1; in both cases, the order 1 is never reached, and
both systems remain the systems of non-integer order less than 1. Both studied
types of electrical circuits provide the first known examples of circuits,
which are made of passive elements only and which exhibit in the time domain
the behavior of variable order.

24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol