Concurrent enhancement of percolation and synchronization in adaptive networks

Young-Ho Eom, Stefano Boccaletti, Guido Caldarelli

Research output: Contribution to journalArticle

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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.
Original languageEnglish
Article number27111
Pages (from-to)1-7
Number of pages7
JournalScientific Reports
Volume6
DOIs
Publication statusPublished - 2 Jun 2016

Keywords

  • applied mathematics
  • complex networks
  • phase transitions and critical phenomena
  • statistical physics
  • thermodynamics
  • nonlinear dynamics

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