Concurrent enhancement of percolation and synchronization in adaptive networks

Co-evolutionary adaptive mechanisms are not only ubiquitous in nature, b= ut also beneficial for the functioning of a variety of systems. We here con= sider an adaptive network of oscillators with a stochastic, fitness-based, = rule of connectivity, and show that it self-organizes from fragmented and i= ncoherent states to connected and synchronized ones. The synchronization an= d percolation are associated to abrupt transitions, and they are concurrent= ly (and significantly) enhanced as compared to the non-adaptive case. Final= ly we provide evidence that only partial adaptation is sufficient to determ= ine these enhancements. Our study, therefore, indicates that inclusion of s= imple adaptive mechanisms can efficiently describe some emergent features o= f networked systems' collective behaviors, and suggests also self-organized= ways to control synchronization and percolation in natural and social syst= ems.