Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Synchronization dynamics in non-normal networks: the trade-off for
  optimality   Synchronization is an important behavior that characterizes many natural and
human made systems composed by several interacting units. It can be found in a
broad spectrum of applications, ranging from neuroscience to power-grids, to
mention a few. Such systems synchronize because of the complex set of coupling
they exhibit, the latter being modeled by complex networks. The dynamical
behavior of the system and the topology of the underlying network are strongly
intertwined, raising the question of the optimal architecture that makes
synchronization robust. The Master Stability Function (MSF) has been proposed
and extensively studied as a generic framework to tackle synchronization
problems. Using this method, it has been shown that for a class of models,
synchronization in strongly directed networks is robust to external
perturbations. In this paper, our approach is to transform the non-autonomous
system of coupled oscillators into an autonomous one, showing that previous
results are model-independent. Recent findings indicate that many real-world
networks are strongly directed, being potential candidates for optimal
synchronization. Inspired by the fact that highly directed networks are also
strongly non-normal, in this work, we address the matter of non-normality by
pointing out that standard techniques, such as the MSF, may fail in predicting
the stability of synchronized behavior. These results lead to a trade-off
between non-normality and directedness that should be properly considered when
designing an optimal network, enhancing the robustness of synchronization.

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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
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The categories of this paper are: atom-ph
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn