Concurrent enhancement of percolation and synchronization in adaptive networks

Phase diagrams

Scientific Reports 6, 1 (2016)

Y. Eom, S. Boccaletti, G. Caldarelli

LQ placeholderPhase diagrams

Co-evolutionary adaptive mechanisms are not only ubiquitous in nature, but also beneficial for the functioning of a variety of systems. We here consider an adaptive network of oscillators with a stochastic, fitness-based, rule of connectivity, and show that it self-organizes from fragmented and incoherent states to connected and synchronized ones. The synchronization and percolation are associated to abrupt transitions, and they are concurrently (and significantly) enhanced as compared to the non-adaptive case. Finally we provide evidence that only partial adaptation is sufficient to determine these enhancements. Our study, therefore, indicates that inclusion of simple adaptive mechanisms can efficiently describe some emergent features of networked systems' collective behaviors, and suggests also self-organized ways to control synchronization and percolation in natural and social systems.

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Imaginary replica analysis of loopy regular random graphs

F. Lopez, T. Coolen

Sub. to Journal of Physics A

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Taming complexity

M. Reeves, S. Levin, T. Fink, A. Levina

Harvard Business Review

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Degree-correlations in a bursting dynamic network model

F. Vanni, P. Barucca

Journal of Economic Interaction and Coordination

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Scale of non-locality for a system of n particles

S. Talaganis, I. Teimouri

Sub. to Physical Review D

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