author = "Freitas, Celso and Macau, Elbert Einstein Nehrer and Pikovsky, 
          affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)} and {Instituto 
                         Nacional de Pesquisas Espaciais (INPE)} and {University of 
                title = "Partial synchronization in networks of non-linearly coupled 
                         oscillators: The Deserter Hubs Model",
              journal = "Chaos",
                 year = "2015",
               volume = "25",
               number = "4",
                pages = "1.4919246",
                month = "Apr.",
             abstract = "We study the Deserter Hubs Model: a Kuramoto-like model of coupled 
                         identical phase oscillators on a network, where attractive and 
                         repulsive couplings are balanced dynamically due to nonlinearity 
                         of interactions. Under weak force, an oscillator tends to follow 
                         the phase of its neighbors, but if an oscillator is compelled to 
                         follow its peers by a sufficient large number of cohesive 
                         neighbors, then it actually starts to act in the opposite manner, 
                         i.e., in anti-phase with the majority. Analytic results yield that 
                         if the repulsion parameter is small enough in comparison with the 
                         degree of the maximum hub, then the full synchronization state is 
                         locally stable. Numerical experiments are performed to explore the 
                         model beyond this threshold, where the overall cohesion is lost. 
                         We report in detail partially synchronous dynamical regimes, like 
                         stationary phase-locking, multistability, periodic and chaotic 
                         states. Via statistical analysis of different network 
                         organizations like tree, scale-free, and random ones, we found a 
                         measure allowing one to predict relative abundance of partially 
                         synchronous stationary states in comparison to time-dependent 
                  doi = "10.1063/1.4919246",
                  url = "http://dx.doi.org/10.1063/1.4919246",
                 issn = "1054-1500",
             language = "en",
           targetfile = "freitas_partial.pdf",
        urlaccessdate = "26 jan. 2021"