Volume 112, Number 1, October 2015
|Number of page(s)||6|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||14 October 2015|
Route to hyperchaos in Rayleigh-Bénard convection
1 Aeronautics Institute of Technology - São José dos Campos, São Paulo 12228-900, Brazil
2 National Institute for Space Research and World Institute for Space Environment Research P.O. Box 515, São José dos Campos, São Paulo 12227-010, Brazil
Received: 1 June 2015
Accepted: 24 September 2015
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 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.
PACS: 47.52.+j – Chaos in fluid dynamics / 47.20.Bp – Buoyancy-driven instabilities (e.g., Rayleigh-Benard) / 47.27.ed – Dynamical systems approaches
© EPLA, 2015
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.