Emergent explosive synchronization in adaptive complex networks

Physical Review. E
Vanesa Avalos-GaytánStefano Boccaletti

Abstract

Adaptation plays a fundamental role in shaping the structure of a complex network and improving its functional fitting. Even when increasing the level of synchronization in a biological system is considered as the main driving force for adaptation, there is evidence of negative effects induced by excessive synchronization. This indicates that coherence alone cannot be enough to explain all the structural features observed in many real-world networks. In this work, we propose an adaptive network model where the dynamical evolution of the node states toward synchronization is coupled with an evolution of the link weights based on an anti-Hebbian adaptive rule, which accounts for the presence of inhibitory effects in the system. We found that the emergent networks spontaneously develop the structural conditions to sustain explosive synchronization. Our results can enlighten the shaping mechanisms at the heart of the structural and dynamical organization of some relevant biological systems, namely, brain networks, for which the emergence of explosive synchronization has been observed.

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Citations

Jul 23, 2020·Journal of the Royal Society, Interface·Huixin ZhangJianxi Gao
Jul 25, 2019·Physical Review. E·Sarika JalanAlok Yadav
Mar 14, 2020·Physical Review Letters·Rico BernerEckehard Schöll
Feb 25, 2021·Nature Communications·L V GambuzzaS Boccaletti
Jul 18, 2021·Physical Review. E·Mousumi RoyChittaranjan Hens

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