@InProceedings{MaiaMaca:2016:SyCoNe,
               author = "Maia, Daniel and Macau, Elbert Einstein Nehrer",
          affiliation = "{} and {Instituto Nacional de Pesquisas Espaciais (INPE)}",
                title = "Synchronization and control in networks with strongly delayed 
                         couplings",
                 year = "2016",
         organization = "Workshop de Computa{\c{c}}{\~a}o Aplicada, 16. (WORCAP)",
             abstract = "The main purpose of the manuscript is to investigate the 
                         synchronization in networks of dynamical systems with strongly 
                         delayed connections. We obtain several strict conditions for 
                         synchronization of equilibria and periodic solutions by studying 
                         their linear stability. We also study how different types of 
                         networks influence the synchronization. Considering some regular 
                         net- works, as well as more complex heterogeneous and homogeneous 
                         networks, we show that it is more difficult to synchronize the 
                         heterogeneous networks with long-delayed connections, unless the 
                         coupling parameter scales with the total number of nodes. We 
                         derive the natural scaling of the coupling parameters, which 
                         allows for a synchronization. In networks with instantaneous 
                         self-connections, we show that it is possible to stabilize 
                         synchronous solutions that are unstable in an isolated system. We 
                         study in detail such a control close to a Hopf bifurcation and 
                         obtain strict conditions for the stability. In particular, it is 
                         shown that the stabilization domains in parameter space are 
                         reappearing periodically and decreasing in size with the increase 
                         of time-delays. We show how the frequency of the reappearance of 
                         the control domains is influenced by the number of cycle 
                         multipartitions of the graph.",
  conference-location = "S{\~a}o Jos{\'e} dos Campos, SP",
      conference-year = "25-26 out.",
             language = "en",
           targetfile = "maia_synchronization.pdf",
        urlaccessdate = "27 abr. 2024"
}