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Synchronization dynamics in non-normal networks: the trade-off for optimality

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Show simple item record Muolo, Riccardo Carletti, Timoteo Gleeson, James P. Asllani, Malbor 2021-01-11T11:29:26Z 2021-01-11T11:29:26Z 2021
dc.description peer-reviewed en_US
dc.description.abstract Synchronization is an important behavior that characterizes many natural and human made systems that are 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, with 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 for tackling 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. Recent findings indicate that many real-world networks are strongly directed, being potential candidates for optimal synchronization. Moreover, many empirical networks are also strongly non-normal. Inspired by this latter fact in this work, we address the role of the non-normality in the synchronization dynamics by pointing out that standard techniques, such as the MSF, may fail to predict the stability of synchronized states. We demonstrate that, due to a transient growth that is induced by the structure’s non normality, the system might lose synchronization, contrary to the spectral prediction. 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. en_US
dc.language.iso eng en_US
dc.publisher MDPI en_US
dc.relation.ispartofseries Entropy;23,(36)
dc.subject non-normal networks en_US
dc.subject synchronization en_US
dc.subject optimal networks en_US
dc.title Synchronization dynamics in non-normal networks: the trade-off for optimality en_US
dc.type info:eu-repo/semantics/article en_US
dc.type.supercollection all_ul_research en_US
dc.type.supercollection ul_published_reviewed en_US
dc.identifier.doi 10.3390/e23010036
dc.contributor.sponsor Walloon region en_US
dc.contributor.sponsor SFI en_US
dc.relation.projectid FC 33443 en_US
dc.relation.projectid 16/IA/4470 en_US
dc.relation.projectid 16/RC/3918 en_US
dc.relation.projectid 12/RC/2289 P2 en_US
dc.relation.projectid 18/CRT/6049 en_US
dc.rights.accessrights info:eu-repo/semantics/openAccess en_US

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