%0 Journal Article
%4 sid.inpe.br/mtc-m21b/2015/11.27.12.00
%2 sid.inpe.br/mtc-m21b/2015/11.27.12.00.17
%@doi 10.1209/0295-5075/112/14001
%@issn 0295-5075
%T Route to hyperchaos in Rayleigh-Bénard convection
%D 2015
%8 Oct.
%9 journal article
%A Chertovskih1, R.,
%A Chimanski, E. V.,
%A Rempel, Erico Luiz,
%@affiliation Instituto Tecnológico de Aeronáutica (ITA)
%@affiliation Instituto Tecnológico de Aeronáutica (ITA)
%@affiliation Instituto Nacional de Pesquisas Espaciais (INPE)
%@electronicmailaddress
%@electronicmailaddress
%@electronicmailaddress erico_rempel@yahoo.com.br
%B EPL
%V 112
%P 14001
%X Transition to hyperchaotic regimes in Rayleigh-Bénard 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.
%@language en
%3 2015_chertovskih.pdf