@Article{FreitasYancCasaMaca:2021:EfTiPh,
               author = "Freitas, Vander L. S. and Yanchuk, Serhiy and Casa Grande, Helder 
                         Luciani and Macau, Elbert Einstein Nehrer",
          affiliation = "{Universidade Federal de Ouro Preto (UFOP)} and {Technical 
                         University of Berlin} and {Instituto Nacional de Pesquisas 
                         Espaciais (INPE)} and {Instituto Nacional de Pesquisas Espaciais 
                         (INPE)}",
                title = "The effects of time-delay and phase lags on symmetric circular 
                         formations of mobile agents",
              journal = "European Physical Journal: Special Topics",
                 year = "2021",
               volume = "230",
               number = "14/15",
                pages = "2857--2864",
                month = "Oct.",
             abstract = "The mobile agents' circular formation problem is driven by 
                         applications that require a desired spatial and temporal 
                         separation, such as data collection or satellite constellations. 
                         There are numerous strategies to assign the cluster number and 
                         spacing, the radius of the trajectory, communication network, and 
                         other parameters. In this numerical study, we are particularly 
                         interested in the effects of time-delay and phase lag on circular 
                         formations with symmetric clusters in a first-order model with 
                         all-to-all interaction. When the information exchange time-delay 
                         exceeds some critical value, it leads to either incoherent or 
                         alternative symmetric arrangements. Besides, we show that 
                         formations can be effectively controlled using phase lags. As a 
                         paradigmatic example, we consider identical phase lags for half of 
                         the agents, while the other half receives an opposite phase lag. 
                         As a result, the system reaches more complicated stable 
                         arrangements. For instance, the agents can split into asymmetric 
                         clusters, each of them creating a symmetric formation.",
                  doi = "10.1140/epjs/s11734-021-00153-6",
                  url = "http://dx.doi.org/10.1140/epjs/s11734-021-00153-6",
                 issn = "1951-6355 and 1951-6401",
             language = "en",
           targetfile = "Freitas2021_Article_TheEffectsOfTime-delayAndPhase.pdf",
        urlaccessdate = "28 abr. 2024"
}