Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Network-induced multistability: Lossy coupling and exotic solitary
  states   The stability of synchronised networked systems is a multi-faceted challenge
for many natural and technological fields, from cardiac and neuronal tissue
pacemakers to power grids. In the latter case, the ongoing transition to
distributed renewable energy sources is leading to a proliferation of dynamical
actors. The desynchronization of a few or even one of those would likely result
in a substantial blackout. Thus the dynamical stability of the synchronous
state has become a focus of power grid research in recent years. In this letter
we uncover that the non-linear stability against large perturbations is
dominated and threatened by the presence of \textit{solitary states} in which
individual actors desynchronise. Remarkably, when taking physical losses in the
network into account, the back-reaction of the network induces new {\it exotic}
solitary states in the individual actors, and the stability characteristics of
the synchronous state are dramatically altered. These novel effects will have
to be explicitly taken into account in the design of future power grids, and
their existence poses a challenge for control. While this letter focuses on
power grids, the form of the coupling we explore here is generic, and the
presence of new states is very robust. We thus strongly expect the results
presented here to transfer to other systems of coupled heterogeneous Newtonian
oscillators.

7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess