@Article{LacerdaFreiMaca:2020:SyDyCh,
               author = "Lacerda, Juliana Cestari and Freitas, Celso and Macau, Elbert 
                         Einstein Nehrer",
          affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)} and {Instituto 
                         Nacional de Pesquisas Espaciais (INPE)} and {Instituto Nacional de 
                         Pesquisas Espaciais (INPE)}",
                title = "Symbolic dynamical characterization for multistability in remote 
                         synchronization phenomena",
              journal = "Frontiers in Applied Mathematics and Statistics",
                 year = "2020",
               volume = "6",
                pages = "e15",
                month = "May",
             keywords = "synchronization, multistability, Stuart-Landau, remote 
                         synchronization, symbolic dynamics.",
             abstract = "Two of the most remarkable phenomena in non-linear systems are 
                         multistability and remote synchronization. In the first one, 
                         depending on the initial conditions, the system may set in 
                         different states after the transient, while in the other, 
                         dynamical units that are not directly connected set in a 
                         synchronized state. In this work, we introduce a new approach to 
                         detect multistability in the remote synchronization phenomena 
                         where the dynamical system is given by a star-like topology whose 
                         oscillators are governed by the Stuart-Landau equation. This 
                         approach is based on symbolic dynamics characterization and 
                         complex network formalism. It has already been used to detect 
                         periodic windows and chaos in non-linear systems and now we show 
                         that although it is not able to differ from a non-synchronized to 
                         a synchronized state, it is able to detect the region where 
                         multistability takes place. Our findings are compared with the 
                         results obtained by traditional methods such as the partial 
                         synchronization index.",
                  doi = "10.3389/fams.2020.00015",
                  url = "http://dx.doi.org/10.3389/fams.2020.00015",
                 issn = "2297-4687",
             language = "en",
           targetfile = "lacerda.pdf",
        urlaccessdate = "28 abr. 2024"
}