@Article{PodviginaZhReChChMu:2015:TwBiSt,
               author = "Podvigina, O. and Zheligovsky, V. and Rempel, Erico Luiz and 
                         Chian, Abraham Chian Long and Chertovskih, R. and Munoz, P. R.",
          affiliation = "{Russian Academy os Science} and {Russian Academy os Science} and 
                         {Instituto Tecnol{\'o}gico de Aeron{\'a}utica (ITA)} and 
                         {Instituto Nacional de Pesquisas Espaciais (INPE)} and {Instituto 
                         Tecnol{\'o}gico de Aeron{\'a}utica (ITA)} and {Instituto 
                         Tecnol{\'o}gico de Aeron{\'a}utica (ITA)}",
                title = "Two-parameter bifurcation study of the regularized long-wave 
                         equation",
              journal = "Physical Review E",
                 year = "2015",
               volume = "92",
               number = "3",
                pages = "032906",
                month = "Sept.",
             abstract = "We perform a two-parameter bifurcation study of the driven-damped 
                         regularized long-wave equation by varying the amplitude and phase 
                         of the driver. Increasing the amplitude of the driver brings the 
                         system to the regime of spatiotemporal chaos (STC), a chaotic 
                         state with a large number of degrees of freedom. Several global 
                         bifurcations are found, including codimension-two bifurcations and 
                         homoclinic bifurcations involving three-tori and the manifolds of 
                         steady waves, leading to the formation of chaotic saddles in the 
                         phase space. We identify four distinct routes to STC; they depend 
                         on the phase of the driver and involve boundary and interior 
                         crises, intermittency, the Ruelle-Takens scenario, the Feigenbaum 
                         cascade, an embedded saddle-node, homoclinic, and other 
                         bifurcations. This study elucidates some of the recently reported 
                         dynamical phenomena.",
                  doi = "10.1103/PhysRevE.92.032906",
                  url = "http://dx.doi.org/10.1103/PhysRevE.92.032906",
                 issn = "1539-3755",
             language = "en",
        urlaccessdate = "30 abr. 2024"
}