author = "Chertovskih1, R. and Chimanski, E. V. and Rempel, Erico Luiz",
          affiliation = "{Instituto Tecnol{\'o}gico de Aeron{\'a}utica (ITA)} and 
                         {Instituto Tecnol{\'o}gico de Aeron{\'a}utica (ITA)} and 
                         {Instituto Nacional de Pesquisas Espaciais (INPE)}",
                title = "Route to hyperchaos in Rayleigh-B{\'e}nard convection",
              journal = "EPL",
                 year = "2015",
               volume = "112",
                pages = "14001",
                month = "Oct.",
             abstract = "Transition to hyperchaotic regimes in Rayleigh-B{\'e}nard 
                         convection in a square periodicity cell is studied by 
                         three-dimensional numerical simulations. By fixing the Prandtl 
                         number at P = 0.3 and varying the Rayleigh number as a control 
                         parameter, a bifurcation diagram is constructed where a route to 
                         hyperchaos involving quasiperiodic regimes with two and three 
                         incommensurate frequencies, multistability, chaotic intermittent 
                         attractors and a sequence of boundary and interior crises is 
                         shown. The three largest Lyapunov exponents exhibit a linear 
                         scaling with the Rayleigh number and are positive in the final 
                         hyperchaotic attractor. Thus, a route to weak turbulence is 
                  doi = "10.1209/0295-5075/112/14001",
                  url = "http://dx.doi.org/10.1209/0295-5075/112/14001",
                 issn = "0295-5075",
             language = "en",
           targetfile = "2015_chertovskih.pdf",
        urlaccessdate = "27 nov. 2020"