author = "Chimanski, E. V. and Chertovskih, R. 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 and intermittency in Rayleigh-Bernard 
                 year = "2016",
         organization = "International Conference on Nonlinear Science and Complexity, 6.",
             keywords = "Bifurcation, hyperchaos, chaotic saddle, intermittency, 
                         Rayleigh-Benard convection.",
             abstract = "Transition to hyperchaotic regimes in Rayleigh-Benard convection 
                         in a square periodicity cell is studied by three-dimensional 
                         numerical simulations. By fixing the Prandtl number and varying 
                         the Rayleigh number as a control parameter, a bifurcation diagram 
                         is constructed where a route 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 
                         found. R. Chertovskih, E.V. Chimanski, E.L. Rempel. Route to 
                         hyperchaos in Rayleigh-Benard convection. Europhysics Letters 112 
                         (1), 14001 (2015) E. V. Chimanski, R. Chertovskih, E. L. Rempel. 
                         Intermittency route to hyperchaos in 3D RayleighBenard convection. 
                         Advances in Space Research, in press (2016).",
  conference-location = "S{\~a}o Jos{\'e} dos Campos, SP",
      conference-year = "16-20 May",
        urlaccessdate = "27 nov. 2020"