@Article{Chertovskih1ChimRemp:2015:RoHyRa,
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
found.",
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 = "28 abr. 2024"
}