Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Assortative mixing enhances the irreversible nature of explosive
  synchronization in growing scale-free networks   We discuss the behavior of large ensembles of phase oscillators networking
via scale-free topologies in the presence of a positive correlation between the
oscillators' natural frequencies and network's degrees. In particular, we show
that the further presence of degree-degree correlation in the network structure
has important consequences on the nature of the phase transition characterizing
the passage from the phase-incoherent to the phase-coherent network's state.
While high levels of positive and negative mixing consistently induce a
second-order phase transition, moderate values of assortative mixing, such as
those ubiquitously characterizing social networks in the real world, greatly
enhance the irreversible nature of explosive synchronization in growing
scale-free networks. This latter effect corresponds to a maximization of the
area and of the width of the hysteretic loop that differentiates the forward
and backward transitions to synchronization.

37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs