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.

Published in Scientific Reports

References in corpus (9)

• Synchronization in complex networks
• Adaptive Coevolutionary Networks: A Review
• Explosive Synchronization Transitions in Scale-free Networks
• Paths to Synchronization on Complex Networks
• Explosive synchronization in adaptive and multilayer networks
• Adaptive synchronization of dynamics on evolving complex networks
• Microdynamics in stationary complex networks
• Self-organized network evolution coupled to extremal dynamics
• Tuning synchronization of integrate-and-fire oscillators through mobility

Cited by in corpus (5)

• The synchronized dynamics of time-varying networks
• Emergence of synchronization in multiplex networks of mobile Rössler oscillators
• Development of structural correlations and synchronization from adaptive rewiring in networks of Kuramoto oscillators
• Ott-Antonsen attractiveness for parameter-dependent oscillatory networks
• Dynamic Hidden-Variable Network Models