Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Complex dynamics and scale invariance of one-dimensional memristive
  networks   Memristive systems, namely resistive systems with memory, are attracting
considerable attention due to their ubiquity in several phenomena and
technological applications. Here, we show that even the simplest
one-dimensional network formed by the most common memristive elements with
voltage threshold bears non-trivial physical properties. In particular, by
taking into account the single element variability we find i) dynamical
acceleration and slowing down of the total resistance in adiabatic processes,
ii) dependence of the final state on the history of the input signal with same
initial conditions, iii) existence of switching avalanches in memristive
ladders, and iv) independence of the dynamics voltage threshold with respect to
the number of memristive elements in the network (scale invariance). An
important criterion for this scale invariance is the presence of memristive
systems with very small threshold voltages in the ensemble. These results
elucidate the role of memory in complex networks and are relevant to
technological applications of these systems.

30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
2
The categories of this paper are: math
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph