Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hysteresis, neural avalanches and critical behaviour near a first-order
  transition of a spiking neural network   Many experimental results, both in-vivo and in-vitro, support the idea that
the brain cortex operates near a critical point, and at the same time works as
a reservoir of precise spatio-temporal patterns. However the mechanism at the
basis of these observations is still not clear. In this paper we introduce a
model which combines both these features, showing that scale-free avalanches
are the signature of a system posed near the spinodal line of a first order
transition, with many spatio-temporal patterns stored as dynamical metastable
attractors. Specifically, we studied a network of leaky integrate and fire
neurons, whose connections are the result of the learning of multiple
spatio-temporal dynamical patterns, each with a randomly chosen ordering of the
neurons. We found that the network shows a first order transition between a low
spiking rate disordered state (down), and a high rate state characterized by
the emergence of collective activity and the replay of one of the stored
patterns (up). The transition is characterized by hysteresis, or alternation of
up and down states, depending on the lifetime of the metastable states. In both
cases, critical features and neural avalanches are observed. Notably, critical
phenomena occur at the edge of a discontinuous phase transition, as recently
observed in a network of glow lamps.

18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
2
The categories of this paper are: math
23
The categories of this paper are: solv-int