title: Concurrent enhancement of percolation and synchronization in adaptive networks.
abstract: 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.
authors.affiliation: IMT School for Advanced Studies Lucca, Piazza San Francesco 19, 55100 Lucca, Italy.|Departamento de Matemáticas, Universidad Carlos III de Madrid, 28911 Leganés, Spain.
authors.forename: Young-Ho
authors.initials: YH
authors.lastname: Eom
authors.affiliation: CNR-Istituto dei Sistemi Complessi, Via Madonna del Piano, 10, 50019 Sesto Fiorentino, Italy.|Italian Embassy in Israel, 25 Hamered Street, 68125 Tel Aviv, Israel.
authors.forename: Stefano
authors.initials: S
authors.lastname: Boccaletti
authors.affiliation: IMT School for Advanced Studies Lucca, Piazza San Francesco 19, 55100 Lucca, Italy.|CNR-Istituto dei Sistemi Complessi (ISC), via dei Taurini 19, 00185 Roma, Italy.|London Institute for Mathematical Sciences, 35a South Street Mayfair, London, W1K 2XF, UK.|Linkalab, Complex Systems Computational Laboratory, Cagliari, Italy.
authors.forename: Guido
authors.initials: G
authors.lastname: Caldarelli