Emergence of structural patterns out of synchronization in networks with competitive interactions.

Scientific Reports
Salvatore AssenzaStefano Boccaletti

Abstract

Synchronization is a collective phenomenon occurring in systems of interacting units, and is ubiquitous in nature, society and technology. Recent studies have enlightened the important role played by the interaction topology on the emergence of synchronized states. However, most of these studies neglect that real world systems change their interaction patterns in time. Here, we analyze synchronization features in networks in which structural and dynamical features co-evolve. The feedback of the node dynamics on the interaction pattern is ruled by the competition of two mechanisms: homophily (reinforcing those interactions with other correlated units in the graph) and homeostasis (preserving the value of the input strength received by each unit). The competition between these two adaptive principles leads to the emergence of key structural properties observed in real world networks, such as modular and scale-free structures, together with a striking enhancement of local synchronization in systems with no global order.

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Citations

Jan 23, 2016·Scientific Reports·Massimiliano ZaninJorge Cruz
Jan 8, 2016·Journal of Mathematical Neuroscience·Peter AshwinRachel Nicks
Apr 26, 2016·Scientific Reports·Lucia Valentina GambuzzaMattia Frasca
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Jun 3, 2016·Scientific Reports·Young-Ho EomGuido Caldarelli
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Oct 24, 2019·Physical Review. E·Kei-Ichi Ueda
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May 16, 2018·Physical Review. E·Vanesa Avalos-GaytánS Boccaletti
Jan 3, 2019·Chaos·Oleg V Maslennikov, Vladimir I Nekorkin
Jul 30, 2017·Scientific Reports·Francesco AlderisioMario di Bernardo
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Jan 6, 2021·Biological cybernetics·Ji Chul Kim, Edward W Large
Oct 15, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sanjiv K Dwivedi, Sarika Jalan

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