Route to hyperchaos in Rayleigh-Benard convection
Fluid Dynamics
2022-06-30 v2
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 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.
Keywords
Cite
@article{arxiv.1506.00693,
title = {Route to hyperchaos in Rayleigh-Benard convection},
author = {R. Chertovskih and E. V. Chimanski and E. L. Rempel},
journal= {arXiv preprint arXiv:1506.00693},
year = {2022}
}